A Density-Quantile Function Approach to Choosing Order Statistics for the Estimation of Location and Scale Parameters.

Abstract

It has been shown that the estimation of location and scale parameters by linear systematic statistics may be formulated as a problem in regression analysis of a smoothed sample quantile process. In this dissertation, a general approach to optimal spacings selection is presented that utilizes design techniques for continuous parameter time series regression. This methodology is applied to several common distributions. The problems of optimal order statistic selection for estimation in censored samples, for quantile estimation and for the summarization of large data sets are also considered.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA073270

Entities

People

  • Randall Lester Eubank

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Analysis
  • Data Science
  • Data Sets
  • Distribution Functions
  • Equations
  • Estimators
  • Information Science
  • Normal Distribution
  • Notation
  • Order Statistics
  • Probability
  • Regression Analysis
  • Statistical Algorithms
  • Statistics
  • Theorems
  • Theses
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Space