Summary
A two-parameter family of discrete distributions developed by Katz (1963) is extended to three- and four-parameter families whose probability generating functions involve hypergeometric functions. This extension contains other distributions appearing in the literature as particular cases. Various methods of estimating the parameters are investigated and their asymptotic efficiency relative to maximum likelihood estimators compared.
This research was supported in part by the Wisconsin Alumni Research Foundation and by the Air Force Office of Scientific Research, AFOSR 72-236 3B.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Gurland, J., Tripathi, R. (1975). Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1842-5_6
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DOI: https://doi.org/10.1007/978-94-010-1842-5_6
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