Inference on Overlapping Coefficients in Two Exponential Populations

Mohammad F. Al-Saleh, Hani Samawi

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Three measures of overlap, namely Matusita's measure ρ, Morisita's measure λ and Weitzman's measure A are investigated in this article for two exponential populations with different means. It is well that the estimators of those measures of overlap are biased. The bias is of these estimators depends on the unknown overlap parameters. There are no closed-form, exact formulas, for those estimators variances or their exact sampling distributions. Monte Carlo evaluations are used to study the bias and precision of the proposed overlap measures. Bootstrap method and Taylor series approximation are used to construct confidence intervals for the overlap measures.

Original languageAmerican English
JournalJournal of Modern Applied Statistical Methods
Volume6
DOIs
StatePublished - Nov 1 2007

Keywords

  • Bootstrap method
  • Matusita’s measure
  • Morisita’s measure
  • Overlap coefficients
  • Taylor expansion
  • Weitzman’s measure

DC Disciplines

  • Public Health
  • Biostatistics
  • Community Health

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