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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| Format: | Others |
| Language: | en_US |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/93313328389897433151 |
| Summary: | 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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