Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament
碩士 === 輔仁大學 === 應用統計學研究所 === 97 === In this study we consider that a special case of Markov chain is a stationary at each two-step and will stop at some time. After modifying our function, it will converge on the only absorbing state. Its transition probability matrix will be expanded by square matr...
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ndltd-TW-096FJU005060152016-05-06T04:11:48Z http://ndltd.ncl.edu.tw/handle/93535302532144211835 Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament 不平穩馬可夫鏈及其應用-以2008澳洲網球公開賽為例 Sheng-ming Lee 李勝明 碩士 輔仁大學 應用統計學研究所 97 In this study we consider that a special case of Markov chain is a stationary at each two-step and will stop at some time. After modifying our function, it will converge on the only absorbing state. Its transition probability matrix will be expanded by square matrix, andthe mean absorption time will be calculated by the fundamental matrix method. We use the example of the final four male singles in the 2008 Australian open tennis tournament. We estimate the service state distribution, return transition probability matrix, and mean return time. Finally, we can use those data to analyze player’s characteristic and to simulate tennis games. Jeng-fu Liu 劉正夫 2009 學位論文 ; thesis 50 zh-TW |
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碩士 === 輔仁大學 === 應用統計學研究所 === 97 === In this study we consider that a special case of Markov chain is a stationary at each two-step and will stop at some time. After modifying our function, it will converge on the only absorbing state. Its transition probability matrix will be expanded by square matrix, andthe mean absorption time will be calculated by the fundamental matrix method. We use the example of the final four male singles in the 2008 Australian open tennis tournament. We estimate the service state distribution, return transition probability matrix, and mean return time. Finally, we can use those data to analyze player’s characteristic and to simulate tennis games.
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author2 |
Jeng-fu Liu |
author_facet |
Jeng-fu Liu Sheng-ming Lee 李勝明 |
author |
Sheng-ming Lee 李勝明 |
spellingShingle |
Sheng-ming Lee 李勝明 Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
author_sort |
Sheng-ming Lee |
title |
Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
title_short |
Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
title_full |
Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
title_fullStr |
Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
title_full_unstemmed |
Non-stationary Markov chain with applications in the 2008 Australian open tennis tournament |
title_sort |
non-stationary markov chain with applications in the 2008 australian open tennis tournament |
publishDate |
2009 |
url |
http://ndltd.ncl.edu.tw/handle/93535302532144211835 |
work_keys_str_mv |
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