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The bivariate logarithmic series distribution |
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| Authors: | Subrahmaniam Kocherlakota Kathleen Kocherlakota |
| Affiliation: | Department of Statistics , University of Manitoba , Winnipeg, R3T 2N2, Canada |
| Abstract: | The bivariate logarithmic series distribution was introduced by Subrahmaniam (1966) as a Fisher-limit to the bivariate negative binomial distribution. The present paper considers the properties of the distribution along with various models giving rise to it. Problems of estimation and the goodness-of-fit are examined. Methods for simulating the distribution are developed and illusuated. |
| Keywords: | bivariate negative binomial distribution bivariate logarithmic series distribution compounding Fisher-limit goodness-of-fit tests modified logarithmic series distribution probability generating function Neyman' C(α) test Rao's efficient score test simulation |