SIZE-BIASED SAMPLING.

Abstract

Sampling components which are operating in a system at a fixed time and then observing the lifelengths of these components leads one to a length-biased sample. This concept is generalized to size-biased sampling, which often occurs when sampling multi-sized units such as particles. Estimators of average unit size are presented for the cases in which the underlying size distribution is gamma, Weibull or log-normal. These estimators, when specialized to the length-biased case, are shown to be improvements over some estimators already presented in the literature. Also, the problem of estimating mean life from backward recurrence times is discussed and some improved estimators are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0710223

Entities

People

  • R. L. Scheaffer

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Collecting Methods
  • Estimators
  • Literature
  • Particles
  • Sampling

Fields of Study

  • Mathematics

Readers

  • Statistical inference.