A General Approach to Limiting Normality of the Product-Limit Estimator.

Abstract

Langberg, Proschan and Quinzi obtain strongly consistent estimators for the unobservable marginal distributions of interest in the competing risks problem. These estimators resemble those of Kaplan and Meier but are appropriate when (a) the risks are dependent and (b) death may result from simultaneous causes. We establish asymptotic normality of these estimators. Our result thereby extends that of Breslow and Crowley from the case of a continuous survival function to an arbitrary survival distribution. This preliminary report represents work currently in progress. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA096412

Entities

People

  • A. J. Quinzi
  • T. M. Smith

Organizations

  • Temple University

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Data Science
  • Discontinuities
  • Distribution Functions
  • Estimators
  • Gaussian Processes
  • Information Science
  • Normality
  • Probability
  • Random Variables
  • Scientific Research
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Survival
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Molecular and Cellular Biology
  • Statistical inference.