Order Statistics and Nonparametric Statistics.

Abstract

The research reported falls under the headings: (a) order statistics; (b) competing risks; (c) nonparametric statistics, and (d) cyclic designs. (a) Concomitants of order statistics were introduced and studied as a class, and applications in selection and double sampling provided. The robustness of various estimators of location and scale in the presence of outliers was examined and the necessary tables prepared. Characterizations of distributions by properties of order statistics were given. A text on order statistics is being revised. (b) A parametric approach to the theory of competing risks was developed and a monograph a competing risks prepared. Applications to reliability under multiple causes of failure are included. (c) A number of problems were resolved in nonparametric estimation and in the asymptotic theory of linear rank statistics, U-statistics, and quantiles. (d) Following earlier work by the author a monograph on cyclic designs was co-authored. This is in a form ready for use, with worked examples provided. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 21, 1978
Accession Number
ADA063906

Entities

People

  • Herbert A. David

Organizations

  • Iowa State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Applied Mathematics
  • Data Science
  • Distribution Theory
  • Estimators
  • Experimental Design
  • Information Science
  • Military Research
  • Nonparametric Statistics
  • Order Statistics
  • Probability
  • Probability Distributions
  • Random Variables
  • Sampling
  • Statistical Algorithms
  • Statistical Distributions
  • Statistics
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Technical Research and Report Writing.