I.I.D. Representations for the Bivariate Product Limit Estimators and the Bootstrap Versions.

Abstract

It is the purpose of this paper to further investigate the path dependent bivariate (multivariate) PL-estimator of (C&F)(1982) (Horvath (1983)). For simplicity, we shall focus on the bivariate case. The multivariate case can be dealt with similarly. Two path-dependent PL-estimators are introduced in Section 2 of (C&F)(1982). We shall consider only one of them in this paper as the other can be treated with symmetric argument. While this paper deals only with the multivariate random censoring model, it is possible to extend the results to the multivariate competing risk models.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA171859

Entities

People

  • Jane-ling Wang
  • Shaw-hwa Lo

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Convergence
  • Covariance
  • Data Science
  • Distribution Functions
  • Estimators
  • Gaussian Processes
  • Information Science
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Inference
  • Statistics
  • Stochastic Processes
  • Tightness
  • Two Dimensional
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Statistical inference.