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SPEAKER: |
Dr. Mei Ling Huang, Brock University |
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TITLE: |
"On the D Numbers and the D Compound Distribution" |
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DAY: |
Wednesday, October 8, 1997 |
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TIME: |
3:30 p.m. [Coffee in BSB-202 at 3:00 p.m.] |
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PLACE: |
BSB-108 |
Many authors have studied inference for truncated Poisson data. But a minimum variance unbiased estimator (MVUE) does not exist for the right truncated case. In this talk we consider a model with the structure
where Y is a Poisson random variable with parameter b, and the X_i's are independent identically distributed double truncated Poisson random variables with parameters (N,M) and l, independent of Y. We say that (Z,Y) has a D compound Poisson distribution. The properties of the D compound Poisson distribution are studied. A MVUE of the probability function of the D compound Poisson distribution is obtained. It is interesting to observe that this UMVUE depends on only three D numbers. The talk will end with an example of the applications of the D compound distribution.
Dr. Huang is an Associate Professor in the Department of Mathematics at Brock University. Her research interests include Distribution Theory, Nonparametric Statistical Inference, Quantile and Density Estimation, Limiting Theory and Time Series Analysis. She is a member of the American Statistical Association, the Institute of Mathematical Statistics and the Statistical Society of Canada. Dr. Huang's publications have appeared in a variety of journals including Sankhya, Communications in Statistics, Statistische Hefte, Statistics and Probability Letters and Illinois Journal of Mathematics.
The following articles have been placed on reserve at Thode Library (STATS 770: Statistics Seminar). They have been provided by Dr. Mei Ling Huang to be used as background for her talk on Wednesday, October 8.
[1] Huang, M.L. & Fung, K.Y. (1993) "D-Distribution and Its Applications," STATISTICAL PAPERS 34, pp. 143-159.
[2] Huang, M.L. & Fung, K.Y. (1993) "The D Compound Poisson Distribution," STATISTICAL PAPERS 34, pp. 319-338.