Making an appropriate decision in the selection of sustainable club from other clubs studied involves the use of right statistical approach, hence the need for stochastic and game theory analysis of English premier league scoreline. The following clubs Manchester United (MU), Chelsea (C), Arsenal (A), Manchester City (MC), Liverpool (LP), Tottenham (T) and Everton (E) were studied for both home and away matches for the period of 2010/2011 to 2019/2020 season. The optimal strategy and overall optimal strategy for MR G and MR B were obtained for each season and the 10 seasons respectively. The result showed that Manchester United has the highest probability (0.29) of being selected by MR B and Liverpool has the probability of 0.27 of being selected by MR G. The matrix of flow was also obtained when Manchester United played against Liverpool, given that Manchester United is home, as WWWLWWDWDD, and when Manchester United is away and Liverpool home, as WDLWLLDDWW. The two and four step transition matrix was also used to predict the future matches and their probabilities obtained given the probabilities of the previous game. The limiting distribution of the transition probability matrix obtained showed that Manchester United has a 67% chance of winning Liverpool while Liverpool has a 33% chance of winning Manchester United, this shows that Manchester United is stronger at home. Thus, the two most sustainable clubs out of the seven clubs studied are Manchester United and Liverpool.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 10, Issue 3) |
| DOI | 10.11648/j.ajtas.20211003.11 |
| Page(s) | 136-145 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2021. Published by Science Publishing Group |
Game Theory, Stochastic Model, English Premier League, Probability, Optimal Strategy, Linear Programming
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APA Style
Ngonadi Lilian Oluebube, Ezemma George Chijioke, Etaga Harrison Oghenekevwe, Ugoh Christogonus Ifeanyichukwu. (2021). English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach. American Journal of Theoretical and Applied Statistics, 10(3), 136-145. https://doi.org/10.11648/j.ajtas.20211003.11
ACS Style
Ngonadi Lilian Oluebube; Ezemma George Chijioke; Etaga Harrison Oghenekevwe; Ugoh Christogonus Ifeanyichukwu. English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach. Am. J. Theor. Appl. Stat. 2021, 10(3), 136-145. doi: 10.11648/j.ajtas.20211003.11
AMA Style
Ngonadi Lilian Oluebube, Ezemma George Chijioke, Etaga Harrison Oghenekevwe, Ugoh Christogonus Ifeanyichukwu. English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach. Am J Theor Appl Stat. 2021;10(3):136-145. doi: 10.11648/j.ajtas.20211003.11
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author = {Ngonadi Lilian Oluebube and Ezemma George Chijioke and Etaga Harrison Oghenekevwe and Ugoh Christogonus Ifeanyichukwu},
title = {English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {10},
number = {3},
pages = {136-145},
doi = {10.11648/j.ajtas.20211003.11},
url = {https://doi.org/10.11648/j.ajtas.20211003.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20211003.11},
abstract = {Making an appropriate decision in the selection of sustainable club from other clubs studied involves the use of right statistical approach, hence the need for stochastic and game theory analysis of English premier league scoreline. The following clubs Manchester United (MU), Chelsea (C), Arsenal (A), Manchester City (MC), Liverpool (LP), Tottenham (T) and Everton (E) were studied for both home and away matches for the period of 2010/2011 to 2019/2020 season. The optimal strategy and overall optimal strategy for MR G and MR B were obtained for each season and the 10 seasons respectively. The result showed that Manchester United has the highest probability (0.29) of being selected by MR B and Liverpool has the probability of 0.27 of being selected by MR G. The matrix of flow was also obtained when Manchester United played against Liverpool, given that Manchester United is home, as WWWLWWDWDD, and when Manchester United is away and Liverpool home, as WDLWLLDDWW. The two and four step transition matrix was also used to predict the future matches and their probabilities obtained given the probabilities of the previous game. The limiting distribution of the transition probability matrix obtained showed that Manchester United has a 67% chance of winning Liverpool while Liverpool has a 33% chance of winning Manchester United, this shows that Manchester United is stronger at home. Thus, the two most sustainable clubs out of the seven clubs studied are Manchester United and Liverpool.},
year = {2021}
}
TY - JOUR T1 - English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach AU - Ngonadi Lilian Oluebube AU - Ezemma George Chijioke AU - Etaga Harrison Oghenekevwe AU - Ugoh Christogonus Ifeanyichukwu Y1 - 2021/05/31 PY - 2021 N1 - https://doi.org/10.11648/j.ajtas.20211003.11 DO - 10.11648/j.ajtas.20211003.11 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 136 EP - 145 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20211003.11 AB - Making an appropriate decision in the selection of sustainable club from other clubs studied involves the use of right statistical approach, hence the need for stochastic and game theory analysis of English premier league scoreline. The following clubs Manchester United (MU), Chelsea (C), Arsenal (A), Manchester City (MC), Liverpool (LP), Tottenham (T) and Everton (E) were studied for both home and away matches for the period of 2010/2011 to 2019/2020 season. The optimal strategy and overall optimal strategy for MR G and MR B were obtained for each season and the 10 seasons respectively. The result showed that Manchester United has the highest probability (0.29) of being selected by MR B and Liverpool has the probability of 0.27 of being selected by MR G. The matrix of flow was also obtained when Manchester United played against Liverpool, given that Manchester United is home, as WWWLWWDWDD, and when Manchester United is away and Liverpool home, as WDLWLLDDWW. The two and four step transition matrix was also used to predict the future matches and their probabilities obtained given the probabilities of the previous game. The limiting distribution of the transition probability matrix obtained showed that Manchester United has a 67% chance of winning Liverpool while Liverpool has a 33% chance of winning Manchester United, this shows that Manchester United is stronger at home. Thus, the two most sustainable clubs out of the seven clubs studied are Manchester United and Liverpool. VL - 10 IS - 3 ER -
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