A Weighted Likelihood Ratio of Two Related Negative Hypergeomeric Distributions |
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Authors: | Email author" target="_blank">Titi?ObiladeEmail author |
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Institution: | (1) Department of Mathematics, Obafemi Awolowo University, Obafemi Awolowo, Nigeria |
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Abstract: | Abstract
In this paper we consider some related negative hypergeometric distributions arising from the problem of sampling without
replacement from an urn containing balls of different colours and in different proportions but stopping only after some specific
number of balls of different colours have been obtained. With the aid of some simple recurrence relations and identities we
obtain in the case of two colours the moments for the maximum negative hypergeometric distribution, the minimum negative hypergeometric
distribution, the likelihood ratio negative hypergeometric distribution and consequently the likelihood proportional negative
hypergeometric distributiuon. To the extent that the sampling scheme is applicable to modelling data as illustrated with a
biological example and in fact many situations of estimating Bernoulli parameters for binary traits within a finite population,
these are important first-step results. |
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Keywords: | Maximum minimum weighted likelihood ratio negative hypergeometric |
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