On the Completeness of Minimal Sufficient Statistics with Censored Observations.

Abstract

The property of completeness, for the minimal sufficient statistics, is investigated in the context of life testing when the set of observations is censored at a fixed time or at a fixed order statistic. Nonparametric families are shown to retain completeness for the observed order statistics and some implications regarding unbiased estimator and similar tests are presented. Most of the common parametric models fail to possess completeness of minimal sufficient statistics under censored sampling in the one-sample, two-sample and regression situations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA027693

Entities

People

  • G. K. Bhattacharyya
  • K. G. Mehrotra
  • Richard A. Johnson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Estimators
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Observation
  • Order Statistics
  • Sampling
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.