Improving Hall’s Accelerated Sequential Procedure: Generalized Multistage Fixed-Width Confidence Intervals for a Normal Mean

Jun, Hu

doi:10.1007/s11009-020-09786-x

Cited by 5 publications

(1 citation statement)

References 16 publications

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“…Chattopadhyay (2000) and Chattopadhyay and Sengupta (2006) have developed accelerated sequential procedures for the parameters of exponential and normal populations under asymmetric loss structures. Recently, Hu (2021) provided an improved accelerated sequential procedure to tackle the problem of fixed-width confidence interval estimation of an unknown normal mean in the absence of any knowledge about the variance. Similar procedures to deal with some other estimation problems have been developed and studied by numerous authors.…”

Section: Introductionmentioning

confidence: 99%

A class of accelerated sequential procedures with applications to estimation problems for some distributions useful in reliability theory

Joshi

Bapat²,

Shukla

2021

CSAM

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This paper deals with developing a general class of accelerated sequential procedures and obtaining the associated second-order approximations for the expected sample size and 'regret' (difference between the risks of the proposed accelerated sequential procedure and the optimum fixed sample size procedure) function. We establish that the estimation problems based on various lifetime distributions can be tackled with the help of the proposed class of accelerated sequential procedures. Extensive simulation analysis is presented in support of the accuracy of our proposed methodology using the Pareto distribution and a real data set on carbon fibers is also analyzed to demonstrate the practical utility. We also provide the brief details of some other inferential problems which can be seen as the applications of the proposed class of accelerated sequential procedures.

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Section: Introductionmentioning

confidence: 99%