A Bayesian Nonparametric Estimator of Survival Probability Assuming Increasing Failure Rate.

Abstract

Bayesian nonparametric estimators of the survival function, the failure rate function, and the density function are obtained using jump processes as prior distributions on the space of increasing failure rate functions. The jump processes are more appealing intuitively than previously used Dirichlet processes, integral gamma process, and processes neutral to the right and have a meaningful physical interpretation. Examples are given and the estimates are compared with the maximum likelihood estimates. In addition, the Bayesian nonparametric estimators are presented for arbitrarily right-censored observations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1979
Accession Number
ADA077458

Entities

People

  • L. J. Wei
  • William J. Padgett

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Censorship
  • Computers
  • Computing-Related Activities
  • Data Science
  • Equations
  • Estimators
  • Information Science
  • Integrals
  • Interdisciplinary Science
  • Intervals
  • Mathematics
  • Observation
  • South Carolina
  • Statistics
  • Survival

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • Space