Small Sample Properties of Two Survival Function Estimators Based on Incomplete Data.

Abstract

For estimating an underlying survival distribution, we consider two estimators based on a randomly right-censored sample: The traditional Product Limit Estimator (PLE), introduced by Kaplan and Meier (1958), and a competitor, the Piecewise Exponential Estimator (PEXE), introduced by Kitchin, Langberg, and Proschan (1980a). Under a proportional hazards model we present formulas for the mean and variance of the PLE and find upper and lower bounds for mean and variance of the PEXE. These new expressions for finite sample sizes are compared with known asymptotic results. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1980
Accession Number
ADA089656

Entities

People

  • Myles Hollander
  • Naftali A. Langberg
  • Yuan-yan Chen

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Computations
  • Data Science
  • Estimators
  • Gaussian Processes
  • Information Science
  • Intervals
  • Mathematics
  • Numbers
  • Probability
  • Random Variables
  • Scientific Research
  • Security
  • Statistics
  • Survival
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Statistical inference.