ON TWO-STAGE NON-PARAMETRIC ESTIMATION

Abstract

A two-sample, two-stage non-parametric estimation problem is studied. The parameter phi phi(F, G) under consideration is estimable (i.e., there exists an unbiased estimator which is a function of independent observations from two populations with cumulative distribution functions F(X) and G(Y). (Hence, it is called a two-sample problem.) The functions F(X) and G(Y) will be restricted to be members of a specified class, D, of pairs of cumulative distribution functions, described in the context. The total number of observations from the two populations X and Y will be a fixed number, N. The estimation procedure is carried out in two stages. First, take M observations from each of the populations; then, allocate the remaining N - 2M observations to the same populations. The method of allocation utilizes the information from the first stage observations.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0406713

Entities

People

  • Elizabeth Y. Yen

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Data Science
  • Discrete Distribution
  • Distribution Functions
  • Estimators
  • Experimental Design
  • Heuristic Methods
  • Inequalities
  • Information Science
  • Normal Distribution
  • North Carolina
  • Notation
  • Numbers
  • Observation
  • Probability
  • Random Variables
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Operations Research
  • Regression Analysis.