The efficiency of stratified double percentile ranked set sample for estimating the population mean

Mahmoud Ibrahim Syam, Kamarulzaman Ibrahim, Amer Ibrahim Al-Omari

Research output: Contribution to journalArticle

Abstract

In this article, we suggest a new estimator to estimating the population mean using stratified double percentile ranked set sampling (SDPRSS). Theoretically, we show that SDPRSS estimator is an unbiased of the population mean. The SDPRSS is compared with the simple random sampling (SRS), stratified ranked set sampling (SRSS) and stratified simple random sampling (SSRS). It is found that SDPRSS is more efficient than SRS, SRSS and SSRS. In addition, by SDPRSS, we can increase the efficiency of mean estimator for specific value of the sample size.

Original languageEnglish
Pages (from-to)157-177
Number of pages21
JournalFar East Journal of Mathematical Sciences
Volume73
Issue number1
Publication statusPublished - Feb 2013

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Ranked Set Sample
Ranked Set Sampling
Percentile
Simple Random Sampling
Stratified Random Sampling
Stratified Sampling
Estimator
Sample Size

Keywords

  • Double percentile ranked set sample
  • Perce ntile ranked set sampling
  • Ranked set sampling
  • Relative efficiency
  • Stratified

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The efficiency of stratified double percentile ranked set sample for estimating the population mean. / Syam, Mahmoud Ibrahim; Ibrahim, Kamarulzaman; Al-Omari, Amer Ibrahim.

In: Far East Journal of Mathematical Sciences, Vol. 73, No. 1, 02.2013, p. 157-177.

Research output: Contribution to journalArticle

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