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Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme

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  • Mahdi Doostparast
  • Mahdi Emadi

Abstract

In this paper, the likelihood ratio approach is applied for measuring evidence provided by record data in favor of a hypothesis against an alternative under a random sampling scheme. Explicit expressions for probabilities of observing strong and weak evidences are derived. Asymptotic behaviors of these probabilities are investigated in a greater detail. Optimal sample size in which the substantial evidence reaches a desired level is determined. An illustrative example concerning records of times between consecutive telephone calls to a company’s switchboard is also analyzed. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Mahdi Doostparast & Mahdi Emadi, 2014. "Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(1), pages 41-50, March.
    • Handle: RePEc:spr:stmapp:v:23:y:2014:i:1:p:41-50
    DOI: 10.1007/s10260-012-0228-x
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    References listed on IDEAS

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    1. Mahdi Doostparast, 2009. "A note on estimation based on record data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 69(1), pages 69-80, January.
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