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This research was conducted together with Mike Poluektov 1. Data sample Let us consider elementary Monte-Carlo simulation. We generate random number $x$ with uniform distribution from the range $[3, 30]$ and then another value $y$ as an average of 7 uniformly distributed random numbers from the range of $[0, x]$. We consider $y = f(x)$ as a stochastic system with aleatoric uncertainty. The sample of 120 points generated in this way is shown in the picture below. Obviously, these 120 points is a sample from multinomial distribution (since both $x$ and $y$ are random), but we consider it as input dependent distribution of the output of some stochastic system. The goal is to build data generation model capable of producing samples from the same population providing only data shown in the picture. 2. The challenge The data in the picture does not provide enough features to make judgements about the type of distribution. By looking at the data it is possible to assume that expectation model can be a straight line, but variance depends on input $x$. 3. Divisive Data Resorting The Divisive Data Resorting is a new simple but effective algorithm of building multinomial stochastic models using short data samples. Its full version can be found in archived article . Here I provide very basic explanation of the concept in terms introduced only for this specific example.
4. The result of modelling and accuracy estimation We built the ensemble of 19 linear models according to above DDR algorithm. Below a comparison of 3 samples for $x = 28.0$ is provided. First column is a sorted Monte Carlo simulation according to section 1, which is average of 7 uniformly distributed values from the range $[0,28]$. Second column is another sorted Monte Carlo simulation. Two samples are provided to give an idea how random samples are different from each other. Third column is a sample generated by 19 DDR models.
The order matches standings table, the scores are replaced by goal differences and only results for two mentioned teams are shown. Zero values are placed conventionally on diagonal elements (it means if playing against self the team must theoretically have a draw). The name attached to the row is the team playing at home and name attached to column is away team. 17 numbers in each row and 17 numbers in each column is good performance characteristics of these two teams, however 34 inputs to a model would be too heigh. We reduce these 17 elements in a row or in a column to 3. This reduction is called feature extraction technique. We compute the sum of all negative numbers (and use its magnitude), the sum of all positive numbers and number of draws, so our input figures for predictive model are the following values: $12, 3, 6, 10, 12, 5$. The records from the recent season are used for prediction, and the records from 16 prior seasons (totally 16 * 17 * 17 = 4624) are used for training of the model. After processing the prediction, new value replaces the old one in the table, so -2 is replaced by 1 and in this way the data is updated while the new season continues. The model is an ensemble of 23 Kolmogorov-Arnold representations. It predicts 23 goal differences as real numbers. They are rounded and used as voting in estimation of probabilities for home win, draw or away win. The bet has been chosen according to maximal money gain computed as: $$M = P * B - (1.0 - P) * 100.$$ Success or failure was determined according to actual outcome. Since only top 17 teams participated in modelling, only 272 games were used for prediction out of 380. Typical average gain is between 15 and 20%, which is near 5000 points for a season. The data is obtained from publicly available source OddsPortal. The code and data is published for those who wish to research this topic deeper PremierLeague7 . Below is an example of program printout. Interesting detail that the model placed bets on underestimated underdogs. The deterministic models are the models of expectations, and they usually point to a favorite, but since it is a preference of many people, bookmakers usually reduce the return and even 60% of right predictions may not be enough for making profit. In our case 78 right predictions out of 272 already provide profit near 20%. However, betting on underdogs in all cases lead to a money loss, same as betting always on favorites. Prediction for British Premier League 1. Crystal Palace-Southampton, 9/12/2020 2:00:00 PM, 1:0, 1X2 = 209,225,146, right prediction 2. West Ham-Newcastle, 9/12/2020 7:00:00 PM, 0:2, 1X2 = 100,260,282, right prediction 3. Tottenham-Everton, 9/13/2020 3:30:00 PM, 0:1, 1X2 = 106,243,283, wrong prediction 4. Sheffield Utd-Wolves, 9/14/2020 5:00:00 PM, 0:2, 1X2 = 227,189,161, wrong prediction 5. Brighton-Chelsea, 9/14/2020 7:15:00 PM, 1:3, 1X2 = 499,342,-179, wrong prediction 6. Manchester Utd-Crystal Palace, 9/19/2020 4:30:00 PM, 1:3, 1X2 = -270,409,794, right prediction 7. Arsenal-West Ham, 9/19/2020 7:00:00 PM, 2:1, 1X2 = -200,351,570, wrong prediction 8. Southampton-Tottenham, 9/20/2020 11:00:00 AM, 2:5, 1X2 = 237,240,125, right prediction 9. Newcastle-Brighton, 9/20/2020 1:00:00 PM, 0:3, 1X2 = 164,219,191, wrong prediction 10. Chelsea-Liverpool, 9/20/2020 3:30:00 PM, 0:2, 1X2 = 243,285,106, wrong prediction 11. Leicester-Burnley, 9/20/2020 6:00:00 PM, 4:2, 1X2 = -182,322,542, right prediction 12. Aston Villa-Sheffield Utd, 9/21/2020 5:00:00 PM, 1:0, 1X2 = 146,220,217, right prediction 13. Wolves-Manchester City, 9/21/2020 7:15:00 PM, 1:3, 1X2 = 592,359,-208, wrong prediction 14. Brighton-Manchester Utd, 9/26/2020 11:30:00 AM, 2:3, 1X2 = 442,320,-159, wrong prediction 15. Crystal Palace-Everton, 9/26/2020 2:00:00 PM, 1:2, 1X2 = 254,235,120, wrong prediction 16. Burnley-Southampton, 9/26/2020 7:00:00 PM, 0:1, 1X2 = 225,241,127, wrong prediction 17. Tottenham-Newcastle, 9/27/2020 1:00:00 PM, 1:1, 1X2 = -238,384,668, wrong prediction 18. Manchester City-Leicester, 9/27/2020 3:30:00 PM, 2:5, 1X2 = -312,488,831, right prediction 19. West Ham-Wolves, 9/27/2020 6:00:00 PM, 4:0, 1X2 = 234,231,127, wrong prediction 20. Liverpool-Arsenal, 9/28/2020 7:00:00 PM, 3:1, 1X2 = -204,413,486, wrong prediction 21. Chelsea-Crystal Palace, 10/3/2020 11:30:00 AM, 4:0, 1X2 = -192,337,557, wrong prediction 22. Everton-Brighton, 10/3/2020 2:00:00 PM, 4:2, 1X2 = -127,277,371, wrong prediction 23. Newcastle-Burnley, 10/3/2020 7:00:00 PM, 3:1, 1X2 = 141,227,216, right prediction 24. Leicester-West Ham, 10/4/2020 11:00:00 AM, 0:3, 1X2 = -120,295,323, wrong prediction 25. Arsenal-Sheffield Utd, 10/4/2020 1:00:00 PM, 2:1, 1X2 = -200,336,613, wrong prediction 26. Manchester Utd-Tottenham, 10/4/2020 3:30:00 PM, 1:6, 1X2 = 106,265,259, right prediction 27. Aston Villa-Liverpool, 10/4/2020 6:15:00 PM, 7:2, 1X2 = 579,392,-217, right prediction 28. Everton-Liverpool, 10/17/2020 11:30:00 AM, 2:2, 1X2 = 321,322,-127, wrong prediction 29. Chelsea-Southampton, 10/17/2020 2:00:00 PM, 3:3, 1X2 = -172,353,449, wrong prediction 30. Manchester City-Arsenal, 10/17/2020 4:30:00 PM, 1:0, 1X2 = -185,379,467, wrong prediction 31. Newcastle-Manchester Utd, 10/17/2020 7:00:00 PM, 1:4, 1X2 = 363,319,-139, wrong prediction 32. Crystal Palace-Brighton, 10/18/2020 1:00:00 PM, 1:1, 1X2 = 212,224,146, wrong prediction 33. Tottenham-West Ham, 10/18/2020 3:30:00 PM, 3:3, 1X2 = -156,320,442, wrong prediction 34. Leicester-Aston Villa, 10/18/2020 6:15:00 PM, 0:1, 1X2 = 138,261,196, wrong prediction 35. West Ham-Manchester City, 10/24/2020 11:30:00 AM, 1:1, 1X2 = 575,415,-227, wrong prediction 36. Manchester Utd-Chelsea, 10/24/2020 4:30:00 PM, 0:0, 1X2 = 163,249,173, wrong prediction 37. Liverpool-Sheffield Utd, 10/24/2020 7:00:00 PM, 2:1, 1X2 = -455,631,1221, wrong prediction 38. Southampton-Everton, 10/25/2020 2:00:00 PM, 2:0, 1X2 = 206,259,133, right prediction 39. Wolves-Newcastle, 10/25/2020 4:30:00 PM, 1:1, 1X2 = -120,248,392, wrong prediction 40. Arsenal-Leicester, 10/25/2020 7:15:00 PM, 0:1, 1X2 = -105,256,316, right prediction 41. Burnley-Tottenham, 10/26/2020 8:00:00 PM, 0:1, 1X2 = 473,336,-172, wrong prediction 42. Wolves-Crystal Palace, 10/30/2020 8:00:00 PM, 2:0, 1X2 = 106,216,330, wrong prediction 43. Sheffield Utd-Manchester City, 10/31/2020 12:30:00 PM, 0:1, 1X2 = 981,503,-345, wrong prediction 44. Burnley-Chelsea, 10/31/2020 3:00:00 PM, 0:3, 1X2 = 463,326,-167, wrong prediction 45. Liverpool-West Ham, 10/31/2020 5:30:00 PM, 2:1, 1X2 = -233,419,611, wrong prediction 46. Aston Villa-Southampton, 11/1/2020 11:00:00 AM, 3:4, 1X2 = 159,258,171, right prediction 47. Newcastle-Everton, 11/1/2020 1:00:00 PM, 2:1, 1X2 = 240,235,127, right prediction 48. Manchester Utd-Arsenal, 11/1/2020 3:30:00 PM, 0:1, 1X2 = 100,262,291, right prediction 49. Tottenham-Brighton, 11/1/2020 6:15:00 PM, 2:1, 1X2 = -169,326,484, wrong prediction 50. Brighton-Burnley, 11/6/2020 4:30:00 PM, 0:0, 1X2 = 102,242,319, wrong prediction 51. Southampton-Newcastle, 11/6/2020 7:00:00 PM, 2:0, 1X2 = 114,248,252, wrong prediction 52. Everton-Manchester Utd, 11/7/2020 11:30:00 AM, 1:3, 1X2 = 219,266,123, wrong prediction 53. Chelsea-Sheffield Utd, 11/7/2020 4:30:00 PM, 4:1, 1X2 = -263,401,776, wrong prediction 54. Leicester-Wolves, 11/8/2020 1:00:00 PM, 1:0, 1X2 = 136,218,237, wrong prediction 55. Manchester City-Liverpool, 11/8/2020 3:30:00 PM, 1:1, 1X2 = -108,321,264, wrong prediction 56. Arsenal-Aston Villa, 11/8/2020 6:15:00 PM, 0:3, 1X2 = -154,337,401, wrong prediction 57. Newcastle-Chelsea, 11/21/2020 11:30:00 AM, 0:2, 1X2 = 612,379,-217, wrong prediction 58. Aston Villa-Brighton, 11/21/2020 2:00:00 PM, 1:2, 1X2 = 129,254,213, right prediction 59. Tottenham-Manchester City, 11/21/2020 4:30:00 PM, 2:0, 1X2 = 320,313,-123, right prediction 60. Sheffield Utd-West Ham, 11/22/2020 1:00:00 PM, 0:1, 1X2 = 213,221,147, wrong prediction 61. Liverpool-Leicester, 11/22/2020 6:15:00 PM, 3:0, 1X2 = -127,312,334, wrong prediction 62. Burnley-Crystal Palace, 11/23/2020 4:30:00 PM, 1:0, 1X2 = 168,212,193, right prediction 63. Wolves-Southampton, 11/23/2020 7:00:00 PM, 1:1, 1X2 = 135,225,231, wrong prediction 64. Crystal Palace-Newcastle, 11/27/2020 7:00:00 PM, 0:2, 1X2 = 116,220,285, wrong prediction 65. Brighton-Liverpool, 11/28/2020 11:30:00 AM, 1:1, 1X2 = 393,325,-149, wrong prediction 66. Manchester City-Burnley, 11/28/2020 2:00:00 PM, 5:0, 1X2 = -833,921,1926, wrong prediction 67. Southampton-Manchester Utd, 11/29/2020 1:00:00 PM, 2:3, 1X2 = 289,274,-105, wrong prediction 68. Chelsea-Tottenham, 11/29/2020 3:30:00 PM, 0:0, 1X2 = 100,267,277, wrong prediction 69. Arsenal-Wolves, 11/29/2020 6:15:00 PM, 1:2, 1X2 = 108,231,289, right prediction 70. West Ham-Aston Villa, 11/30/2020 7:00:00 PM, 2:1, 1X2 = 135,252,204, right prediction 71. Burnley-Everton, 12/5/2020 11:30:00 AM, 1:1, 1X2 = 278,257,104, wrong prediction 72. West Ham-Manchester Utd, 12/5/2020 4:30:00 PM, 1:3, 1X2 = 243,250,118, wrong prediction 73. Sheffield Utd-Leicester, 12/6/2020 1:15:00 PM, 1:2, 1X2 = 309,256,-104, wrong prediction 74. Tottenham-Arsenal, 12/6/2020 3:30:00 PM, 2:0, 1X2 = 121,250,237, right prediction 75. Liverpool-Wolves, 12/6/2020 6:15:00 PM, 4:0, 1X2 = -169,334,463, wrong prediction 76. Brighton-Southampton, 12/7/2020 7:00:00 PM, 1:2, 1X2 = 145,240,200, right prediction 77. Wolves-Aston Villa, 12/12/2020 11:30:00 AM, 0:1, 1X2 = 160,227,191, wrong prediction 78. Manchester Utd-Manchester City, 12/12/2020 4:30:00 PM, 0:0, 1X2 = 363,325,-139, wrong prediction 79. Everton-Chelsea, 12/12/2020 7:00:00 PM, 1:0, 1X2 = 380,329,-147, right prediction 80. Southampton-Sheffield Utd, 12/13/2020 11:00:00 AM, 3:0, 1X2 = -154,301,448, wrong prediction 81. Crystal Palace-Tottenham, 12/13/2020 1:15:00 PM, 1:1, 1X2 = 323,283,-118, wrong prediction 82. Leicester-Brighton, 12/13/2020 6:15:00 PM, 3:0, 1X2 = 104,254,280, wrong prediction 83. Arsenal-Burnley, 12/13/2020 6:15:00 PM, 0:1, 1X2 = -222,372,641, right prediction 84. Wolves-Chelsea, 12/15/2020 5:00:00 PM, 2:1, 1X2 = 442,281,-145, right prediction 85. Arsenal-Southampton, 12/16/2020 5:00:00 PM, 1:1, 1X2 = 118,254,241, wrong prediction 86. Leicester-Everton, 12/16/2020 5:00:00 PM, 0:2, 1X2 = 112,254,252, wrong prediction 87. West Ham-Crystal Palace, 12/16/2020 7:00:00 PM, 1:1, 1X2 = 116,242,254, wrong prediction 88. Liverpool-Tottenham, 12/16/2020 7:00:00 PM, 2:1, 1X2 = -120,296,326, wrong prediction 89. Aston Villa-Burnley, 12/17/2020 5:00:00 PM, 0:0, 1X2 = -118,279,332, wrong prediction 90. Sheffield Utd-Manchester Utd, 12/17/2020 7:00:00 PM, 2:3, 1X2 = 638,376,-222, wrong prediction 91. Crystal Palace-Liverpool, 12/19/2020 11:30:00 AM, 0:7, 1X2 = 437,312,-156, wrong prediction 92. Southampton-Manchester City, 12/19/2020 2:00:00 PM, 0:1, 1X2 = 512,368,-192, wrong prediction 93. Everton-Arsenal, 12/19/2020 4:30:00 PM, 2:1, 1X2 = 169,245,167, right prediction 94. Brighton-Sheffield Utd, 12/20/2020 11:00:00 AM, 1:1, 1X2 = -112,247,358, wrong prediction 95. Tottenham-Leicester, 12/20/2020 1:15:00 PM, 0:2, 1X2 = 110,250,263, right prediction 96. Burnley-Wolves, 12/21/2020 4:30:00 PM, 2:1, 1X2 = 249,209,135, right prediction 97. Chelsea-West Ham, 12/21/2020 7:00:00 PM, 3:0, 1X2 = -172,337,479, right prediction 98. Leicester-Manchester Utd, 12/26/2020 11:30:00 AM, 2:2, 1X2 = 200,259,134, wrong prediction 99. Aston Villa-Crystal Palace, 12/26/2020 2:00:00 PM, 3:0, 1X2 = -122,288,334, wrong prediction 100. Arsenal-Chelsea, 12/26/2020 4:30:00 PM, 3:1, 1X2 = 384,292,-133, right prediction 101. Sheffield Utd-Everton, 12/26/2020 7:00:00 PM, 0:1, 1X2 = 242,231,125, wrong prediction 102. Manchester City-Newcastle, 12/26/2020 7:00:00 PM, 2:0, 1X2 = -769,860,1969, wrong prediction 103. West Ham-Brighton, 12/27/2020 1:15:00 PM, 2:2, 1X2 = 137,233,218, wrong prediction 104. Wolves-Tottenham, 12/27/2020 6:15:00 PM, 1:1, 1X2 = 261,235,118, wrong prediction 105. Crystal Palace-Leicester, 12/28/2020 2:00:00 PM, 1:1, 1X2 = 239,243,122, wrong prediction 106. Chelsea-Aston Villa, 12/28/2020 4:30:00 PM, 1:1, 1X2 = -123,301,329, wrong prediction 107. Southampton-West Ham, 12/29/2020 5:00:00 PM, 0:0, 1X2 = 104,259,275, wrong prediction 108. Burnley-Sheffield Utd, 12/29/2020 5:00:00 PM, 1:0, 1X2 = 139,220,227, right prediction 109. Brighton-Arsenal, 12/29/2020 5:00:00 PM, 0:1, 1X2 = 271,249,108, wrong prediction 110. Manchester Utd-Wolves, 12/29/2020 7:00:00 PM, 1:0, 1X2 = -182,330,528, wrong prediction 111. Newcastle-Liverpool, 12/30/2020 7:00:00 PM, 0:0, 1X2 = 963,504,-357, wrong prediction 112. Everton-West Ham, 1/1/2021 4:30:00 PM, 0:1, 1X2 = 122,249,234, wrong prediction 113. Manchester Utd-Aston Villa, 1/1/2021 7:00:00 PM, 2:1, 1X2 = -143,316,380, wrong prediction 114. Crystal Palace-Sheffield Utd, 1/2/2021 2:00:00 PM, 2:0, 1X2 = 108,227,297, wrong prediction 115. Brighton-Wolves, 1/2/2021 4:30:00 PM, 3:3, 1X2 = 184,206,179, wrong prediction 116. Newcastle-Leicester, 1/3/2021 1:15:00 PM, 1:2, 1X2 = 511,309,-169, wrong prediction 117. Chelsea-Manchester City, 1/3/2021 3:30:00 PM, 1:3, 1X2 = 240,263,114, wrong prediction 118. Southampton-Liverpool, 1/4/2021 7:00:00 PM, 1:0, 1X2 = 505,384,-200, right prediction 119. Sheffield Utd-Newcastle, 1/12/2021 5:00:00 PM, 1:0, 1X2 = 135,214,242, right prediction 120. Wolves-Everton, 1/12/2021 7:15:00 PM, 1:2, 1X2 = 162,194,218, right prediction 121. Burnley-Manchester Utd, 1/12/2021 7:15:00 PM, 0:1, 1X2 = 692,391,-238, wrong prediction 122. Manchester City-Brighton, 1/13/2021 5:00:00 PM, 1:0, 1X2 = -588,685,1612, wrong prediction 123. Arsenal-Crystal Palace, 1/14/2021 7:00:00 PM, 0:0, 1X2 = -145,285,440, wrong prediction 124. West Ham-Burnley, 1/16/2021 2:00:00 PM, 1:0, 1X2 = -128,269,394, wrong prediction 125. Leicester-Southampton, 1/16/2021 7:00:00 PM, 2:0, 1X2 = -141,290,420, wrong prediction 126. Sheffield Utd-Tottenham, 1/17/2021 1:00:00 PM, 1:3, 1X2 = 384,262,-123, wrong prediction 127. Liverpool-Manchester Utd, 1/17/2021 3:30:00 PM, 0:0, 1X2 = -105,288,278, wrong prediction 128. Manchester City-Crystal Palace, 1/17/2021 6:15:00 PM, 4:0, 1X2 = -556,661,1591, wrong prediction 129. Arsenal-Newcastle, 1/18/2021 7:00:00 PM, 3:0, 1X2 = -233,378,686, wrong prediction 130. Leicester-Chelsea, 1/19/2021 7:15:00 PM, 2:0, 1X2 = 181,249,154, right prediction 131. Manchester City-Aston Villa, 1/20/2021 5:00:00 PM, 2:0, 1X2 = -323,488,883, wrong prediction 132. Liverpool-Burnley, 1/21/2021 7:00:00 PM, 0:1, 1X2 = -312,459,911, right prediction 133. Aston Villa-Newcastle, 1/23/2021 7:00:00 PM, 2:0, 1X2 = -196,363,529, wrong prediction 134. Crystal Palace-West Ham, 1/26/2021 5:00:00 PM, 2:3, 1X2 = 256,236,118, wrong prediction 135. Southampton-Arsenal, 1/26/2021 7:15:00 PM, 1:3, 1X2 = 256,271,106, wrong prediction 136. Chelsea-Wolves, 1/27/2021 5:00:00 PM, 0:0, 1X2 = -154,286,488, wrong prediction 137. Burnley-Aston Villa, 1/27/2021 5:00:00 PM, 3:2, 1X2 = 342,275,-120, right prediction 138. Manchester Utd-Sheffield Utd, 1/27/2021 7:15:00 PM, 1:2, 1X2 = -357,501,998, right prediction 139. Everton-Leicester, 1/27/2021 7:15:00 PM, 1:1, 1X2 = 220,229,139, wrong prediction 140. Tottenham-Liverpool, 1/28/2021 7:00:00 PM, 1:3, 1X2 = 261,285,100, wrong prediction 141. Everton-Newcastle, 1/30/2021 11:30:00 AM, 0:2, 1X2 = -175,311,548, right prediction 142. Crystal Palace-Wolves, 1/30/2021 2:00:00 PM, 1:0, 1X2 = 195,213,164, wrong prediction 143. Manchester City-Sheffield Utd, 1/30/2021 2:00:00 PM, 1:0, 1X2 = -556,641,1705, wrong prediction 144. Arsenal-Manchester Utd, 1/30/2021 4:30:00 PM, 0:0, 1X2 = 252,257,112, wrong prediction 145. Southampton-Aston Villa, 1/30/2021 7:00:00 PM, 0:1, 1X2 = 227,270,118, wrong prediction 146. Chelsea-Burnley, 1/31/2021 11:00:00 AM, 2:0, 1X2 = -303,430,919, wrong prediction 147. West Ham-Liverpool, 1/31/2021 3:30:00 PM, 1:3, 1X2 = 252,273,106, wrong prediction 148. Brighton-Tottenham, 1/31/2021 6:15:00 PM, 1:0, 1X2 = 227,238,131, right prediction 149. Wolves-Arsenal, 2/2/2021 5:00:00 PM, 2:1, 1X2 = 267,229,117, right prediction 150. Manchester Utd-Southampton, 2/2/2021 7:15:00 PM, 9:0, 1X2 = -222,386,600, wrong prediction 151. Newcastle-Crystal Palace, 2/2/2021 7:15:00 PM, 1:2, 1X2 = 195,231,154, wrong prediction 152. Burnley-Manchester City, 2/3/2021 5:00:00 PM, 0:2, 1X2 = 1514,606,-500, wrong prediction 153. Liverpool-Brighton, 2/3/2021 7:15:00 PM, 0:1, 1X2 = -200,363,556, right prediction 154. Aston Villa-West Ham, 2/3/2021 7:15:00 PM, 1:3, 1X2 = 136,248,208, right prediction 155. Tottenham-Chelsea, 2/4/2021 7:00:00 PM, 0:1, 1X2 = 304,250,-101, wrong prediction 156. Aston Villa-Arsenal, 2/6/2021 11:30:00 AM, 1:0, 1X2 = 198,250,142, right prediction 157. Burnley-Brighton, 2/6/2021 2:00:00 PM, 1:1, 1X2 = 267,220,121, wrong prediction 158. Newcastle-Southampton, 2/6/2021 2:00:00 PM, 3:2, 1X2 = 231,250,122, right prediction 159. Manchester Utd-Everton, 2/6/2021 7:00:00 PM, 3:3, 1X2 = -161,318,459, wrong prediction 160. Wolves-Leicester, 2/7/2021 1:00:00 PM, 0:0, 1X2 = 240,227,129, wrong prediction 161. Liverpool-Manchester City, 2/7/2021 3:30:00 PM, 1:4, 1X2 = 217,266,125, wrong prediction 162. Sheffield Utd-Chelsea, 2/7/2021 6:15:00 PM, 1:2, 1X2 = 610,332,-200, wrong prediction 163. Leicester-Liverpool, 2/13/2021 11:30:00 AM, 3:1, 1X2 = 280,289,-104, right prediction 164. Crystal Palace-Burnley, 2/13/2021 2:00:00 PM, 0:3, 1X2 = 184,215,174, wrong prediction 165. Manchester City-Tottenham, 2/13/2021 4:30:00 PM, 3:0, 1X2 = -294,478,775, wrong prediction 166. Brighton-Aston Villa, 2/13/2021 7:00:00 PM, 0:0, 1X2 = 191,237,152, wrong prediction 167. Southampton-Wolves, 2/14/2021 11:00:00 AM, 1:2, 1X2 = 127,227,249, right prediction 168. West Ham-Sheffield Utd, 2/15/2021 5:00:00 PM, 3:0, 1X2 = 102,231,313, right prediction 169. Chelsea-Newcastle, 2/15/2021 7:00:00 PM, 2:0, 1X2 = -345,487,1008, wrong prediction 170. Everton-Manchester City, 2/17/2021 7:15:00 PM, 1:3, 1X2 = 1009,487,-345, wrong prediction 171. Southampton-Chelsea, 2/20/2021 11:30:00 AM, 1:1, 1X2 = 376,279,-128, wrong prediction 172. Liverpool-Everton, 2/20/2021 4:30:00 PM, 0:2, 1X2 = -263,436,702, right prediction 173. West Ham-Tottenham, 2/21/2021 11:00:00 AM, 2:1, 1X2 = 206,244,139, wrong prediction 174. Aston Villa-Leicester, 2/21/2021 1:05:00 PM, 1:2, 1X2 = 273,271,100, wrong prediction 175. Arsenal-Manchester City, 2/21/2021 3:30:00 PM, 0:1, 1X2 = 592,359,-208, wrong prediction 176. Manchester Utd-Newcastle, 2/21/2021 6:00:00 PM, 3:1, 1X2 = -294,440,875, wrong prediction 177. Brighton-Crystal Palace, 2/22/2021 7:00:00 PM, 1:2, 1X2 = -130,249,440, right prediction 178. Manchester City-West Ham, 2/27/2021 11:30:00 AM, 2:1, 1X2 = -370,532,1022, wrong prediction 179. Newcastle-Wolves, 2/27/2021 7:00:00 PM, 1:1, 1X2 = 269,215,124, wrong prediction 180. Leicester-Arsenal, 2/28/2021 11:00:00 AM, 1:3, 1X2 = 137,236,217, wrong prediction 181. Tottenham-Burnley, 2/28/2021 1:00:00 PM, 4:0, 1X2 = -200,334,626, wrong prediction 182. Chelsea-Manchester Utd, 2/28/2021 3:30:00 PM, 0:0, 1X2 = 138,237,218, wrong prediction 183. Sheffield Utd-Liverpool, 2/28/2021 6:15:00 PM, 0:2, 1X2 = 706,437,-270, wrong prediction 184. Everton-Southampton, 3/1/2021 7:00:00 PM, 1:0, 1X2 = 114,250,250, right prediction 185. Manchester City-Wolves, 3/2/2021 7:00:00 PM, 4:1, 1X2 = -455,557,1374, wrong prediction 186. Sheffield Utd-Aston Villa, 3/3/2021 5:00:00 PM, 1:0, 1X2 = 264,244,112, right prediction 187. Burnley-Leicester, 3/3/2021 5:00:00 PM, 1:1, 1X2 = 289,216,116, wrong prediction 188. Crystal Palace-Manchester Utd, 3/3/2021 7:15:00 PM, 0:0, 1X2 = 662,368,-222, wrong prediction 189. Liverpool-Chelsea, 3/4/2021 7:15:00 PM, 0:1, 1X2 = 121,252,233, wrong prediction 190. Burnley-Arsenal, 3/6/2021 11:30:00 AM, 1:1, 1X2 = 394,266,-128, wrong prediction 191. Sheffield Utd-Southampton, 3/6/2021 2:00:00 PM, 0:2, 1X2 = 281,238,110, wrong prediction 192. Aston Villa-Wolves, 3/6/2021 4:30:00 PM, 0:0, 1X2 = 162,216,194, wrong prediction 193. Brighton-Leicester, 3/6/2021 7:00:00 PM, 1:2, 1X2 = 154,220,204, right prediction 194. Manchester City-Manchester Utd, 3/7/2021 3:30:00 PM, 0:2, 1X2 = -200,346,579, right prediction 195. Tottenham-Crystal Palace, 3/7/2021 6:15:00 PM, 4:1, 1X2 = -185,316,568, wrong prediction 196. Chelsea-Everton, 3/8/2021 5:00:00 PM, 2:0, 1X2 = -159,293,512, wrong prediction 197. Manchester City-Southampton, 3/10/2021 5:00:00 PM, 5:2, 1X2 = -556,644,1648, wrong prediction 198. Newcastle-Aston Villa, 3/12/2021 7:00:00 PM, 1:1, 1X2 = 272,236,112, wrong prediction 199. Everton-Burnley, 3/13/2021 4:30:00 PM, 1:2, 1X2 = 100,234,326, wrong prediction 200. Southampton-Brighton, 3/14/2021 12:00:00 PM, 1:2, 1X2 = 223,221,141, right prediction 201. Leicester-Sheffield Utd, 3/14/2021 2:00:00 PM, 5:0, 1X2 = -189,307,646, wrong prediction 202. Arsenal-Tottenham, 3/14/2021 4:30:00 PM, 2:1, 1X2 = 167,237,177, wrong prediction 203. Manchester Utd-West Ham, 3/14/2021 7:15:00 PM, 1:0, 1X2 = -123,261,390, wrong prediction 204. Wolves-Liverpool, 3/15/2021 8:00:00 PM, 0:1, 1X2 = 476,294,-156, wrong prediction 205. Brighton-Newcastle, 3/20/2021 8:00:00 PM, 3:0, 1X2 = -139,258,474, wrong prediction 206. West Ham-Arsenal, 3/21/2021 3:00:00 PM, 3:3, 1X2 = 254,250,114, wrong prediction 207. Aston Villa-Tottenham, 3/21/2021 7:30:00 PM, 0:2, 1X2 = 211,245,137, wrong prediction 208. Leicester-Manchester City, 4/3/2021 4:30:00 PM, 0:2, 1X2 = 442,298,-147, wrong prediction 209. Arsenal-Liverpool, 4/3/2021 7:00:00 PM, 0:3, 1X2 = 190,264,140, right prediction 210. Southampton-Burnley, 4/4/2021 11:00:00 AM, 3:2, 1X2 = 102,241,304, wrong prediction 211. Newcastle-Tottenham, 4/4/2021 1:05:00 PM, 2:2, 1X2 = 448,289,-147, wrong prediction 212. Manchester Utd-Brighton, 4/4/2021 6:30:00 PM, 2:1, 1X2 = -152,295,450, wrong prediction 213. Everton-Crystal Palace, 4/5/2021 5:00:00 PM, 1:1, 1X2 = -119,248,384, wrong prediction 214. Wolves-West Ham, 4/5/2021 7:15:00 PM, 2:3, 1X2 = 189,219,164, wrong prediction 215. Liverpool-Aston Villa, 4/10/2021 2:00:00 PM, 2:1, 1X2 = -213,373,611, wrong prediction 216. Crystal Palace-Chelsea, 4/10/2021 4:30:00 PM, 1:4, 1X2 = 652,325,-200, wrong prediction 217. Burnley-Newcastle, 4/11/2021 11:00:00 AM, 1:2, 1X2 = 127,234,236, wrong prediction 218. West Ham-Leicester, 4/11/2021 1:05:00 PM, 3:2, 1X2 = 221,229,137, right prediction 219. Tottenham-Manchester Utd, 4/11/2021 3:30:00 PM, 1:3, 1X2 = 195,257,141, wrong prediction 220. Sheffield Utd-Arsenal, 4/11/2021 6:00:00 PM, 0:3, 1X2 = 463,288,-152, wrong prediction 221. Brighton-Everton, 4/12/2021 7:15:00 PM, 0:0, 1X2 = 114,249,252, wrong prediction 222. Everton-Tottenham, 4/16/2021 7:00:00 PM, 2:2, 1X2 = 254,249,114, wrong prediction 223. Newcastle-West Ham, 4/17/2021 11:30:00 AM, 3:2, 1X2 = 246,242,120, right prediction 224. Wolves-Sheffield Utd, 4/17/2021 7:15:00 PM, 1:0, 1X2 = -127,246,430, wrong prediction 225. Manchester Utd-Burnley, 4/18/2021 3:00:00 PM, 3:1, 1X2 = -278,428,777, wrong prediction 226. Chelsea-Brighton, 4/20/2021 7:15:00 PM, 0:0, 1X2 = -147,274,476, wrong prediction 227. Tottenham-Southampton, 4/21/2021 5:00:00 PM, 2:1, 1X2 = -116,283,326, right prediction 228. Aston Villa-Manchester City, 4/21/2021 7:15:00 PM, 1:2, 1X2 = 883,436,-294, wrong prediction 229. Arsenal-Everton, 4/23/2021 7:00:00 PM, 0:1, 1X2 = 104,259,277, right prediction 230. Liverpool-Newcastle, 4/24/2021 11:30:00 AM, 1:1, 1X2 = -455,631,1170, wrong prediction 231. West Ham-Chelsea, 4/24/2021 4:30:00 PM, 0:1, 1X2 = 421,299,-145, wrong prediction 232. Sheffield Utd-Brighton, 4/24/2021 7:00:00 PM, 1:0, 1X2 = 535,298,-167, right prediction 233. Wolves-Burnley, 4/25/2021 11:00:00 AM, 0:4, 1X2 = 135,212,248, wrong prediction 234. Leicester-Crystal Palace, 4/26/2021 7:00:00 PM, 2:1, 1X2 = -233,368,714, wrong prediction 235. Southampton-Leicester, 4/30/2021 7:00:00 PM, 1:1, 1X2 = 316,281,-114, wrong prediction 236. Crystal Palace-Manchester City, 5/1/2021 11:30:00 AM, 0:2, 1X2 = 901,447,-294, wrong prediction 237. Everton-Aston Villa, 5/1/2021 7:00:00 PM, 1:2, 1X2 = -103,278,281, right prediction 238. Newcastle-Arsenal, 5/2/2021 1:00:00 PM, 0:2, 1X2 = 281,266,100, wrong prediction 239. Tottenham-Sheffield Utd, 5/2/2021 6:15:00 PM, 4:0, 1X2 = -303,450,897, wrong prediction 240. Burnley-West Ham, 5/3/2021 7:15:00 PM, 1:2, 1X2 = 204,257,134, wrong prediction 241. Leicester-Newcastle, 5/7/2021 7:00:00 PM, 2:4, 1X2 = -250,392,765, right prediction 242. Sheffield Utd-Crystal Palace, 5/8/2021 2:00:00 PM, 0:2, 1X2 = 197,222,159, wrong prediction 243. Manchester City-Chelsea, 5/8/2021 4:30:00 PM, 1:2, 1X2 = 104,239,305, right prediction 244. Liverpool-Southampton, 5/8/2021 7:15:00 PM, 2:0, 1X2 = -323,500,859, wrong prediction 245. Wolves-Brighton, 5/9/2021 11:00:00 AM, 2:1, 1X2 = 292,231,108, right prediction 246. Aston Villa-Manchester Utd, 5/9/2021 1:05:00 PM, 1:3, 1X2 = 348,300,-127, wrong prediction 247. West Ham-Everton, 5/9/2021 3:30:00 PM, 0:1, 1X2 = 114,254,248, right prediction 248. Manchester Utd-Leicester, 5/11/2021 5:00:00 PM, 1:2, 1X2 = 273,257,108, wrong prediction 249. Southampton-Crystal Palace, 5/11/2021 7:15:00 PM, 3:1, 1X2 = -112,282,309, right prediction 250. Chelsea-Arsenal, 5/12/2021 7:15:00 PM, 0:1, 1X2 = -106,242,342, right prediction 251. Aston Villa-Everton, 5/13/2021 5:00:00 PM, 0:0, 1X2 = 202,234,147, wrong prediction 252. Manchester Utd-Liverpool, 5/13/2021 7:15:00 PM, 2:4, 1X2 = 179,274,145, right prediction 253. Newcastle-Manchester City, 5/14/2021 7:00:00 PM, 3:4, 1X2 = 778,484,-303, wrong prediction 254. Brighton-West Ham, 5/15/2021 7:00:00 PM, 1:1, 1X2 = 254,258,110, wrong prediction 255. Crystal Palace-Aston Villa, 5/16/2021 11:00:00 AM, 3:2, 1X2 = 213,252,129, right prediction 256. Tottenham-Wolves, 5/16/2021 1:05:00 PM, 2:0, 1X2 = -182,353,492, wrong prediction 257. Everton-Sheffield Utd, 5/16/2021 6:00:00 PM, 0:1, 1X2 = -278,416,809, right prediction 258. Brighton-Manchester City, 5/18/2021 6:00:00 PM, 3:2, 1X2 = 631,368,-217, right prediction 259. Chelsea-Leicester, 5/18/2021 7:15:00 PM, 2:1, 1X2 = -143,286,434, wrong prediction 260. Tottenham-Aston Villa, 5/19/2021 5:00:00 PM, 1:2, 1X2 = -161,350,423, right prediction 261. Newcastle-Sheffield Utd, 5/19/2021 5:00:00 PM, 1:0, 1X2 = -119,276,338, wrong prediction 262. Everton-Wolves, 5/19/2021 5:00:00 PM, 1:0, 1X2 = -127,272,386, wrong prediction 263. Crystal Palace-Arsenal, 5/19/2021 6:00:00 PM, 1:3, 1X2 = 484,312,-164, wrong prediction 264. Burnley-Liverpool, 5/19/2021 7:15:00 PM, 0:3, 1X2 = 877,531,-345, wrong prediction 265. Aston Villa-Chelsea, 5/23/2021 3:00:00 PM, 2:1, 1X2 = 598,388,-217, right prediction 266. Leicester-Tottenham, 5/23/2021 3:00:00 PM, 2:4, 1X2 = -123,324,313, right prediction 267. Wolves-Manchester Utd, 5/23/2021 3:00:00 PM, 1:2, 1X2 = 136,229,225, right prediction 268. Manchester City-Everton, 5/23/2021 3:00:00 PM, 5:0, 1X2 = -333,520,872, wrong prediction 269. Sheffield Utd-Burnley, 5/23/2021 3:00:00 PM, 1:0, 1X2 = 183,250,154, right prediction 270. West Ham-Southampton, 5/23/2021 3:00:00 PM, 3:0, 1X2 = -127,287,359, right prediction 271. Liverpool-Crystal Palace, 5/23/2021 3:00:00 PM, 2:0, 1X2 = -625,771,1567, wrong prediction 272. Arsenal-Brighton, 5/23/2021 3:00:00 PM, 2:0, 1X2 = -145,320,394, wrong prediction Total bets 272 Right predictions 78 Total betting amount $27200, $100 per game The ending balance, the amount obtained or lost (lost when negative) $5462.32 Winning to betting amount ratio 0.20
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