摘要:

In a multinomial setting with a fixed number k of cells. the problem of screening out cells to find the "best" cell, i.e., the one with the smallest cell probability, or looking for a (small) subset of cells containing the best cell is revisited. An inverse sampling procedure is used, unlike past work on this problem ([l], [2], [3], and [4]). Finding the cell with the smallest cell probability is clearly more difficult than finding the one with the argest cell probability. The proposed procedure takes one observation at a time (as usual) and igns a zero to all those (and only those) k - 1 cells into which the observation does not fall Sampling continues sequentially and stops as soon as any one cell has accumulated r zeros.

ISSN:0747-4946    

DOI:10.1080/07474949408836303

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We consider the sequential procedures for estimating the variance of a normal population in certain class of estimators when the loss function is squared error plus sampling cost. In this paper some sequential estimators are applied and compared in terms of the bias and the risk.

ISSN:0747-4946    

DOI:10.1080/07474949408836304

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

By using a new approach for specifying the alternative distribution, we obtain a new eliminating procedure for selecting the best one ofkexperimental categories when the measurements from each category have a one-dimensional Koopman-Darmois distribution. When thekpopulations are normal with a common known variance, a modification of this approach results in a new closed eliminating procedure for selecting the population with the greatest mean. The Monte Carlo results summarized in Tables I and II indicate the new procedures lead to a reduction in the average total sample size when compared to the other available sequential procedures. We also obtain a sequential procedure for the case when the "best" experimental category is only preferred when it is better than a specified standard.

ISSN:0747-4946    

DOI:10.1080/07474949408836305

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We consider a process X whose paths are right-continuous and have limits from the left, and denote byPits law. IfP0andP1are two given probability measures, we show that under some conditions, Wald's sequential procedure for testingH0: P = P0versusH1: P = P1is optimal among a certain class of decision rules, in the sense that it minimizes the Kullback informations under both probability measures. As a conclusion,we give some applications of this result.

ISSN:0747-4946    

DOI:10.1080/07474949408836306

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

Repeated likelihood ratio tests for the transition probabilities of finite Markov chains are studied By means of non-linear Markov renewal theorems containing the first-passage timesand excess,expressions for asymptotic values of the powers of tests are obtained.

ISSN:0747-4946    

DOI:10.1080/07474949408836307

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

A piecewise sequential methodology and its merits have been recently discussed in Mukhopadhyay and Sen (1993), in the context of certain estimation problems. In the present paper, we examine the role and applicability of the theory of general multistage piecewise sampling methodologies in the area of estimation as well as selection and ranking. In each problem, second-order asymptotic characteristics of piecewise multistage methodologies are indicated.

ISSN:0747-4946    

DOI:10.1080/07474949408836308

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0747-4946    

DOI:10.1080/07474949408836302

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor