Weighted and Clouded Distributions

Abstract

The concept of weighted distributions can be traced to the study of effects of methods of ascertainment upon the estimation of frequencies by Fisher in 1934. 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 article reviews the previous work and the current developments with some examples. Weighted distributions occur in a natural way when adjustments have to be made in the original probability distribution due to deviations from simple random sampling in collecting data, as when the events that occur do not have the same change of coming into the sample. The examples include: p.p.s (probability proportional to size) sampling in sample surveys, damage models, visibility bias in quadrat sampling in ecological studies, sampling through effected individuals in genetic studies, waiting time paradox and so on. Keywords: Statistical inference, Truncation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1988
Accession Number
ADA198321

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Data Mining
  • Data Science
  • Families (Human)
  • Family Size
  • Frequency
  • Information Science
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Analysis
  • Statistical Data
  • Statistical Inference
  • Students
  • Surveys
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Biotechnology