PARAMETER-FREE AND NONPARAMETRIC TOLERANCE LIMITS: THE EXPONENTIAL CASE.

Abstract

Exact parameter-free tolerance intervals based on the first r ordered observations from a sample of size n from an exponential distribution are developed. Various criteria for goodness of tolerance intervals are examined, and certain optimum properties of these intervals are demonstrated. The asymptotic behavior of these intervals is studied. Comparisons are made between these intervals and nonparametric tolerance intervals. Finally, the effect of assuming an exponential distribution, when in fact the distribution is a mixture of two exponentials, is discussed briefly. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0616369

Entities

People

  • Albert Madansky
  • Leo A. Goodman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Cooperation
  • Data Science
  • Information Science
  • Intervals
  • Observation
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.