Optimal Grouping, Spacing, Stratification and Piecewise Constant Approximation.

Abstract

A variety of statistical problems of optimal grouping, spacing and stratification are seen to be best L sub 2 (0,1) free knot piecewise constant approximation problems. This allows for the development of conditions that insure the existence and uniqueness of solutions, a computational algorithm and simple approximate solutions. In addition this approach is seen to provide insight into the relationships between the various problems considered. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA117023

Entities

People

  • R. L. Eubank

Organizations

  • Southern Methodist University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Algorithms
  • Data Science
  • Differential Equations
  • Equations
  • Estimators
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • Normal Distribution
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Random Variables
  • Regression Analysis
  • Statistical Samples
  • Statistics
  • Stratification

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis

Technology Areas

  • Space