Weighted Distributions Arising Out of Methods of Ascertainment.

Abstract

The concept of weighted distributions can be traced to the study of the effects of methods of ascertainment upon the estimation of frequencies by Fisher in 1934, and it was formulated in general terms by the author in a paper presented at the first International Symposium on Classical and Contagious Distributions held in Montreal in 1963. Since then, a number of papers have appeared on the subject. This paper reviews some previous work, points out, through appropriate examples, some situations where weighted distributions arise and discusses the associated methods of statistical analysis. The importance of specification of the class of underlying probability distributions (or stochastic model) in data analysis based on a detailed knowledge of how data are obtained is emphasized. Failure to take into account the conditions of ascertainment of data can lead to wrong conclusions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1984
Accession Number
ADA145615

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Data Analysis
  • Data Mining
  • Data Science
  • Families (Human)
  • Family Size
  • Frequency
  • Information Science
  • New York
  • Probability
  • Probability Distributions
  • Random Variables
  • Sampling
  • Specifications
  • Statistical Analysis
  • Statistical Inference
  • Statistical Samples
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Polar and Arctic Studies
  • Systems Analysis and Design