Testing Whether New is Better than Used with Randomly Censored Data.

Abstract

A life distribution F (a distribution function (d.f.) such that F(x) = 0 for x < 0), with survival function the superior limit of F is approximately 1-F is new better than used (NBU). The dual notion of a new worse than used (NWU) life d.f. is defined by reversing the inequality. The boundary members of the NBU and NWU classes, obtained by insisting an equality, are the exponential d.f.'s. The NBU class of life distributions has proved to be very useful in performing analyses of lifelengths. These d.f.'s provide readily interpretable models for describing wearout, play a fundamental role in studies of replacement policies (Marshall, Proschan, 1972), and shock models (Esary, Marshall, And Proschan, 1973), and have desirable closure properties (c.f. Barlow and Proschan, 1975).

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA089687

Entities

People

  • Myles Hollander
  • Naftali A. Langberg
  • Yuan-yan Chen

Organizations

  • Florida State University

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Convergence
  • Data Analysis
  • Data Mining
  • Data Science
  • Distribution Functions
  • Estimators
  • Gaussian Processes
  • Information Science
  • Normal Distribution
  • Observation
  • Probability
  • Prostate Cancer
  • Random Variables
  • Statistical Algorithms
  • Statistics
  • Survival

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.