Maximum Likelihood Estimation of a Distribution Function with Monotone Failure Rate Based on Censored Observations.

Abstract

The maximum likelihood estimator of a distribution function with monotone failure rate is derived based on a set of observations subject to arbitrary right censorship. This estimator is defined everywhere on the positive real line while the Kaplan-Meier estimator may not be. The small sample properties of this estimator are indicated by results of a Monte Carlo study for the Weibull distribution. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA077459

Entities

People

  • L. J. Wei
  • William J. Padgett

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Computer Science
  • Data Science
  • Distribution Functions
  • Estimators
  • Information Science
  • Mathematics
  • Maximum Likelihood Estimation
  • Monte Carlo Method
  • New York
  • Observation
  • Probability
  • Random Variables
  • South Carolina
  • Statistical Algorithms
  • Statistics
  • Survival

Fields of Study

  • Mathematics

Readers

  • Statistical inference.