On the Performance Characteristics of a Closed Adaptive Sequential Procedure for Selecting the Best Bernoulli Population.

Bechhofer, Robert E.; Kulkarni, Radhika V.

doi:10.21236/ada115219

Cited by 11 publications

(12 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Table 3 shows that E{N} decreases as the pl,,( 1 5 i 5 5) increase; this is highly desirable in vendor selection where most of the pl,,( 1 5 i 5 5) tend to be large. The results cited in these tables are typical of those given in the tables of Bechhofer-Kulkami [3] and Bechhofer-Frisardi [ 11.…”

Section: Performance Of Psupporting

confidence: 71%

An optimal sequential procedure for selecting the best bernoulli process—a review

Bechhofer

1985

Naval Research Logistics

Self Cite

View full text Add to dashboard Cite

This article describes a new closed adaptive sequcntial procedure proposed by Bechhofer and Kulkarnit for selecting the Bernoulli population which has the largest success probability. It can be used effectively for selecting the production proccss with the largest proportion of conforming items. and thus is applicable in vendor selection situations. The performance of this procedure is compared to that of thc Sobel-Huyettf single-stage procedure, and to a curtailed version of the single-stage procedure. all of which guarantee the same probability of a correct selection. Optimal properties of the Bechhofer-Kulkarni procedure are stated; quantitative assessments of important performance characteristics of the procedure are given. These demonstrate conclusively the superiority of the new procedure over that of the competing procedures. Relevant arcas of application (including clinical trials) are described. Appropriate literature references are provided.

show abstract

Section: Performance Of Psupporting

confidence: 71%

An optimal sequential procedure for selecting the best bernoulli process—a review

Bechhofer

1985

Naval Research Logistics

Self Cite

View full text Add to dashboard Cite

show abstract

“…The book by Bechhofer et al (1995) (BSG) discusses the legacy of the BKS procedure in greater detail. Chapter 7.3 of BSG describes a closed adaptive sequential procedure, due to Bechhofer and Kulkarni (1982), which is adaptive in the sense that earlier outcomes are used to decide which treatment is to be sampled next. However, it has the same probability of correct selection as the corresponding single-stage Sobel-Huyett procedure (see Sobel and Huyett, 1957), which is a fixed-sample-size procedure where the treatment with the highest number of successes among an equal number of allocations to each arm emerges as the winner.…”

Section: Sobel's Work On the Selection Problem: A Brief Appraisalmentioning

confidence: 99%

Contribution of Milton Sobel in Selection Problem Following Ethical Allocation

Biswas

2006

Sequential Analysis

View full text Add to dashboard Cite

In his research career of nearly six decades, Milton Sobel has made substantial contributions in several areas of statistics and mathematics. In this present discussion, I focus on the contribution of Sobel to a specific aspect of the selection problem, namely, selection following a sequential adaptive allocation. Follow-up works by Sobel himself and other researchers are also discussed in detail. The scope for further research in this area is indicated. This is only a small part of the vast contribution of Milton Sobel.

show abstract

“…A modification of the stopping rule in Bechhofer and Kulkarni (1981) is considered and the play the clear winner rule in Arkles and Srinivasan (1979) is also discussed. The problem has been discussed in Bechhofer and Kulkarni (1982), Bechhofer and Frisardi (1982) and Jennison (1984), and a formal optimal decision theoretic formulation has been given in Jones and Madhi (1985).…”

Section: Introductionmentioning

confidence: 99%

“…The problem has been discussed in Bechhofer and Kulkarni (1982), Bechhofer and Frisardi (1982) and Jennison (1984), and a formal optimal decision theoretic formulation has been given in Jones and Madhi (1985).…”

Section: Introductionmentioning

confidence: 99%

“…Single sequential, group sequential and fixed sample size schemes are compared under criteria such as the probability of correct selection, expected sample size and expected number of observations on the poorer population which are obtained by Monte Carlo simulation. A modification of a rule due to Bechhofer and Kulkarni (1981) and the play the clear winner rule are also considered. …”

mentioning

confidence: 99%

See 1 more Smart Citation

A simulation study of some suboptimal bayesian sequential sampling schemes for choosing the better of two binomial populations

Jones

Madhi

1986

Journal of Statistical Computation and Simulation

View full text Add to dashboard Cite

Bayesian sequential schemes which use the posterior estimates of the unknown probabilities for choosing the better of two binomial populations are studied. Single sequential, group sequential and fixed sample size schemes are compared under criteria such as the probability of correct selection, expected sample size and expected number of observations on the poorer population which are obtained by Monte Carlo simulation. A modification of a rule due to Bechhofer and Kulkarni (1981) and the play the clear winner rule are also considered.

show abstract

On the Performance Characteristics of a Closed Adaptive Sequential Procedure for Selecting the Best Bernoulli Population.

Cited by 11 publications

References 3 publications

An optimal sequential procedure for selecting the best bernoulli process—a review

An optimal sequential procedure for selecting the best bernoulli process—a review

Contribution of Milton Sobel in Selection Problem Following Ethical Allocation

A simulation study of some suboptimal bayesian sequential sampling schemes for choosing the better of two binomial populations

Contact Info

Product

Resources

About