On the Stable Poisson Convergence for Integer-valued Random Variables
碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this thesis, we obtain some stable Poisson Convergence Theorems for arrays of integer-valued dependent random variables. The limiting distribution is a mixture of Poisson distribution when conditional second moments of the sequence converge to some positive ran...
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2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/93313328389897433151 |
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ndltd-TW-099NCUE54790032016-04-11T04:22:19Z http://ndltd.ncl.edu.tw/handle/93313328389897433151 On the Stable Poisson Convergence for Integer-valued Random Variables 關於整數值隨機變數的穩定卜瓦松收斂 Shun-Yi Yang 楊舜億 碩士 國立彰化師範大學 數學系所 99 In this thesis, we obtain some stable Poisson Convergence Theorems for arrays of integer-valued dependent random variables. The limiting distribution is a mixture of Poisson distribution when conditional second moments of the sequence converge to some positive random variable. Moreover, we apply the main results to the indicator functions of rowise interchangeable events and obtain some interesting stable Poisson convergence theorems. Tsung-Lin Cheng 鄭宗琳 2011 學位論文 ; thesis 27 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this thesis, we obtain some stable Poisson Convergence Theorems for arrays of integer-valued dependent random variables. The limiting distribution is a mixture of Poisson distribution when conditional second moments of the sequence converge to some positive random variable. Moreover, we apply the main results to the indicator functions of rowise interchangeable events and obtain some interesting stable Poisson convergence theorems.
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| author2 |
Tsung-Lin Cheng |
| author_facet |
Tsung-Lin Cheng Shun-Yi Yang 楊舜億 |
| author |
Shun-Yi Yang 楊舜億 |
| spellingShingle |
Shun-Yi Yang 楊舜億 On the Stable Poisson Convergence for Integer-valued Random Variables |
| author_sort |
Shun-Yi Yang |
| title |
On the Stable Poisson Convergence for Integer-valued Random Variables |
| title_short |
On the Stable Poisson Convergence for Integer-valued Random Variables |
| title_full |
On the Stable Poisson Convergence for Integer-valued Random Variables |
| title_fullStr |
On the Stable Poisson Convergence for Integer-valued Random Variables |
| title_full_unstemmed |
On the Stable Poisson Convergence for Integer-valued Random Variables |
| title_sort |
on the stable poisson convergence for integer-valued random variables |
| publishDate |
2011 |
| url |
http://ndltd.ncl.edu.tw/handle/93313328389897433151 |
| work_keys_str_mv |
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