Journal ArticleDOI
Some problems of unbiased sequential binomial estimation
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This article is published in Annals of the Institute of Statistical Mathematics.The article was published on 1975-12-01. It has received 4 citations till now. The article focuses on the topics: Binomial distribution & Best linear unbiased prediction.read more
Citations
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Journal ArticleDOI
Unbiased sequential estimation of1/p: Settlement of a conjecture
Bikas K. Sinha,Arup Bose +1 more
TL;DR: In this article, a complete characterization of the class of sampling plans providing unbiased estimation of the reciprocal of the Bernoulli parameter p is presented, which is a conjecture set forth by Sinha and Sinha (1975,Ann. Inst. Statist.
Journal ArticleDOI
On Some Aspects of Unbiased Estimation of Parameters in Quasi-Binomial Distributions
TL;DR: 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.
Journal ArticleDOI
Bernoulli Sequential Estimation of the Size of a Finite Population
Moloy De,S. Sengupta +1 more
TL;DR: In this paper, a unified approach to unbiased estimation of a finite closed population under Capture-mark-Release-Recapture (CMRR) sequential sampling procedure is provided, and a necessary and sufficient condition for unbiased estimability under an arbitrary stopping rule is given.
Journal ArticleDOI
Exact Inference in a Tetranomial Distribution
TL;DR: In this paper , an extension of the idea to parametric function estimation in a tetranomial distribution has been considered and the cell probabilities are taken to be p 2, q 2, r 2 and 2(pq+pr+qr), satisfying p, q, r, r < 0, p +q +r < 1.
References
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Journal ArticleDOI
Conditional Expectation and Unbiased Sequential Estimation
TL;DR: In this paper, it was shown that whenever there is a sufficient statistic and an unbiased estimate, not a function of $u$ only, for a parameter $\theta$, the function $E(t \mid u)$, which is a function function of u only, is an unbiased estimator with a variance smaller than that of $t.
Book ChapterDOI
Unbiased Estimates for Certain Binomial Sampling Problems with Applications
TL;DR: In this paper, a necessary and sufficient condition that p be the unique unbiased estimate for p is given. But this condition is not satisfied, and it is not known whether more than one unbiased estimate is possible.
Journal ArticleDOI
The Efficiency of Sequential Estimates and Wald's Equation for Sequential Processes
TL;DR: In this paper, it was shown that under certain regularity conditions, the lower bound given here is the same as that obtained in [2], page 480, under different conditions of regularity.
Journal ArticleDOI
Unbiased Sequential Estimation for Binomial Populations
TL;DR: In this article, the authors consider the problem of finding a sampling plan and an unbiased estimator for the binomial distribution, in some sense, at a specified value (p_0), of a given function, i.e., when the sampling plan to be used was given in advance.
Book ChapterDOI
Completeness In The Sequential Case
Erich L. Lehmann,Charles Stein +1 more
TL;DR: In this paper, Girshick, Mosteller, Savage and Wolfowitz have considered the uniqueness of unbiased estimates depending only on an appropriate sufficient statistic for sequential sampling schemes of binomial variables.