Polynomial Families of Distributions

Abstract

It is often necessary to estimates the population distribution of a random variate from a sample of observed values. Standard parametric families may not provide satisfactory fit to the data. A polynomial family is constructed by assuming that the distribution function G is a constrained polynomial of the cumulative distribution F of a convenient parametric family. Polynomial families offer great flexibility in data fitting, while retaining the important feature of parametric families that information in the data is condensed into a moderate number of values.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA263873

Entities

People

  • D. R. Divgi

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Chi Square Test
  • Coefficients
  • Computations
  • Data Science
  • Demography
  • Distribution Functions
  • Equations
  • Information Science
  • Knowledge Management
  • Maximum Likelihood Estimation
  • Monte Carlo Method
  • Normal Distribution
  • Numerical Analysis
  • Polynomials
  • Standards
  • Statistical Algorithms
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design