Inference on Overlapping Coefficients in Two Exponential Populations Using Ranked Set Sample

Hani Samawi, Mohammad F. Al-Saleh

Research output: Contribution to journalArticlepeer-review

Abstract

We consider using ranked set sampling methods to draw inference about the three well-known measures of overlap, namely Matusita's measure , Morisita's measure and Weitzman's measure . Two exponential populations with different means are considered. Due to the difficulties of calculating the precision or the bias of the resulting estimators of overlap measures, because there are no closed-form exact formulas for their variances and their exact sampling distributions, Monte Carlo evaluations are used. Confidence intervals for those measures are also constructed via the bootstrap method and Taylor series approximation.

Original languageAmerican English
JournalCommunication of the Korean of Statistics Society
Volume15
DOIs
StatePublished - Jan 1 2008

Disciplines

  • Biostatistics
  • Community Health
  • Public Health

Keywords

  • Bootstrap Method
  • Matusita's Measure
  • Morisita's Measure
  • Overlap Coefficients
  • Ranked Set Sampling
  • Taylor Expansion
  • Weitzman's Measure

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