Estimating Dependent Life Lengths, with Applications to the Theory of Competing Risks

Abstract

In the classical theory of competing risks (as well as in many reliability models and incomplete data problems) it is assumed that the risks (i.e., the random variables of interest) are independent and that death does not result from simultaneous causes. Employing the probabilistic solution to a related problem in probability modelling, strongly consistent estimators are obtained for the unobservable marginal distributions of interest. These estimators are appropriate when the assumptions of independence and no simultaneous causes of death fail to hold. These methods can be used to unify and simplify the nonparametric approach toward estimation in the competing risks model.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1977
Accession Number
ADA050970

Entities

People

  • A. J. Quinzi
  • Frank Proschan
  • N. Langberg

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Consistency
  • Discontinuities
  • Discrete Distribution
  • Distribution Functions
  • Estimators
  • Intervals
  • Observation
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Scientific Research
  • Step Functions
  • Survival
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Theoretical Analysis.