• RecordNumber
    3935
  • Author

    Zolfaghari, Parisa

  • Crop_Body
    Parisa Zolfaghari, Rahim Chinipardaz, and Jafar Esmaily
  • Title of Article

    Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability

  • Title Of Journal
    خبرنامه انجمن آمار ايران (JIRSS)
  • PublishInfo
    تهران :انجمن آمار ايران
  • Publication Year
    2020
  • Volum
    19
  • Issue Number
    2
  • Page
    101-117
  • Keywords
    Completely Monotone , Exponential Family of Distributions. , Non Regular Family of Distributions , P-values , Posterior Probability
  • Abstract
    In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-value and posterior probability are achieved. However, in the exponential family of distributions, this agreement is based on the complete monotonicity of a function of hazard rate.
    • Link To Document
    https://math.iranlibs.ir/dl/search/default.aspx?Term=3935&Field=0&DTC=14