MAXIMUM LIKELIHOOD ESTIMATION FOR DISTRIBUTIONS WITH NONOTONE FAILURE RATE

Abstract

Using the idea of maximum likelihood, we derive an estimator for a distribution function possessing an increasing (decreasing) failure rate and also obtain corresponding estimators for the density and the failure rate. We show that these estimators are consistent.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1964
Accession Number
AD0432990

Entities

People

  • Albert W. Marshall
  • Frank Proschan

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Consistency
  • Data Science
  • Discrete Distribution
  • Distribution Functions
  • Equations
  • Estimators
  • Government Procurement
  • Inequalities
  • Mathematics
  • Maximum Likelihood Estimation
  • Observation
  • Order Statistics
  • Probability
  • Random Variables
  • Scientific Research
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.