Ranked set sampling with unequal samples for skew distributions

Research output: Contribution to journalArticle

Abstract

A ranked set sampling procedure with unequal samples for positively skew distributions (RSSUS) is proposed and used to estimate the population mean. The estimators based on RSSUS are compared with the estimators based on ranked set sampling (RSS) and median ranked set sampling (MRSS) procedures. It is observed that the relative precisions of the estimators based on RSSUS are higher than those of the estimators based on RSS and MRSS procedures.

Original languageEnglish (US)
Pages (from-to)676-681
Number of pages6
JournalJournal of Statistical Computation and Simulation
Volume86
Issue number4
DOIs
StatePublished - Mar 3 2016

Fingerprint

Ranked Set Sampling
Unequal
Skew
Sampling
Estimator
Relative Precision
Estimate

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Keywords

  • Pareto distribution
  • Weibull distribution
  • heavy right tail distributions
  • log-normal distribution
  • mean square error
  • median rankedset sampling
  • positively skew distribution
  • relative precision
  • unbiased estimator

Cite this

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title = "Ranked set sampling with unequal samples for skew distributions",
abstract = "A ranked set sampling procedure with unequal samples for positively skew distributions (RSSUS) is proposed and used to estimate the population mean. The estimators based on RSSUS are compared with the estimators based on ranked set sampling (RSS) and median ranked set sampling (MRSS) procedures. It is observed that the relative precisions of the estimators based on RSSUS are higher than those of the estimators based on RSS and MRSS procedures.",
keywords = "Pareto distribution, Weibull distribution, heavy right tail distributions, log-normal distribution, mean square error, median rankedset sampling, positively skew distribution, relative precision, unbiased estimator",
author = "Bhoj, {Dinesh S.} and Debashis Kushary",
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Ranked set sampling with unequal samples for skew distributions. / Bhoj, Dinesh S.; Kushary, Debashis.

In: Journal of Statistical Computation and Simulation, Vol. 86, No. 4, 03.03.2016, p. 676-681.

Research output: Contribution to journalArticle

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