On a Generalization of the Classical Random Sampling Scheme and Unbiased Estimation

2007

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DOI 10.1080/03610920601033793
Data confidence 70 medium
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Abstract

A generalization of the classical random sampling scheme is suggested. Based on the proposed generalization one can derive many new minimum variance unbiased estimators for probabilities, as well as for other functions of unknown parameters, for the multivariate Pólya, the multivariate negative Pólya, the multinomial, the multivariate hypergeometric, the multivariate Poisson, and the Wishart probability distributions.