Journal ArticleDOI
On Some Aspects of Unbiased Estimation of Parameters in Quasi-Binomial Distributions
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In this article, an attempt has been made to settle the question of existence of an unbiased estimator of the key parameter p of the quasi-binomial distributions of Type I (QBD I) and of Type II(QBD II), with/without any knowledge of the other parameter φ appearing in the expressions for probability functions of the QBD's.Abstract:
In this article, an attempt has been made to settle the question of existence of unbiased estimator of the key parameter p of the quasi-binomial distributions of Type I (QBD I) and of Type II (QBD II), with/without any knowledge of the other parameter φ appearing in the expressions for probability functions of the QBD's. This is studied with reference to a single observation, a random sample of finite size m as also with samples drawn by suitably defined sequential sampling rules.read more
Citations
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Urn models and their applications: an approach to modern discrete probability theory, by Norman L. Johnson and Samuel Kotz. Pp xiii, 402. £16·45. 1977. SBN 0 471 44630 0 (Wiley)
Journal ArticleDOI
Boundary Crossing Random Walks, Clinical Trials, and Multinomial Sequential Estimation
Enrico Bibbona,Alessandro Rubba +1 more
TL;DR: In this paper, a sufficient condition for the uniqueness of multinomial sequential unbiased estimators is provided generalizing a classical result for binomial samples and applied to infer the parameters of multidimensional or multiinomial random walks that are observed until they reach a boundary.
Journal ArticleDOI
Boundary crossing Random Walks, clinical trials and multinomial sequential estimation
Enrico Bibbona,Alessandro Rubba +1 more
TL;DR: In this article, a sufficient condition for the uniqueness of multinomial sequential unbiased estimators is provided generalizing a classical result for binomial samples, and an application to clinical trials is presented.
References
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Journal ArticleDOI
Sequential Bernoulli Sampling Plans Re-Examined:
Arup Bose,Bikas K. Sinha +1 more
TL;DR: In this article, connections between efficient and inefficient sampling plans are explored via the concept of sufficiency of statistical experiments, and the problem of comparison of two arbitrary sampling plans is also taken up.
Journal ArticleDOI
On some properties of a class of weighted quasi-binomial distributions
TL;DR: A class of weighted quasi-binomial distributions has been derived as weighted distribution of QBD I (Sankhyā 36 (Ser. Statist. B, Part 4) 391).
Journal ArticleDOI
Some problems of unbiased sequential binomial estimation
Posted Content
A Family of Abel Series Distributions of Order K
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