Extensions of a Characterization of an Exponential Distribution Based on a Censored Ordered Sample.

Abstract

Dufour gave a conjecture on a characterization of an arbitrary exponential distribution based on a right-censored ordered sample. The conjecture was shown to be true by Leslie and van Eeden (1993) in the case when the number of censored observations is no larger than (1/3)n - 1, and by Xu and Yang (1995) and Rao and Shanbhag (1995) when the number is less than or equal to max?O,n - 5!, where n (greater than or equal to 3) is the sample size. In the present paper we give extended Versions of the results concerning the Dufour conjecture.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1996
Accession Number
ADA313614

Entities

People

  • Calyampudi Radhakrishna Rao
  • D. N. Shanbhag

Organizations

  • Pennsylvania State University

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Fields of Study

  • Mathematics

Readers

  • Statistical inference.