Bivariate non-central negative binomial distribution: Another generalisation |
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Authors: | S H Ong P A Lee |
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Institution: | (1) Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia |
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Abstract: | Summary Another bivariate generalisation (Type V) of the non-central negative binomial distribution is considered. This generalisation is constructed (i) as a latent structure model; (ii) as an extension of an accident proneness model investigated by Edwards/Gurland (1961); and (iii) as a reversible stochastic counter model. The third construction gives, as a result, an apparently new formulation of the Edwards/Gurland model. The probabilities, moments, recurrence formulas and some properties are given. An application to the data used by Holgate (1966) is considered. |
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