The Weak Representation of Intermediate Order Statistics.

Abstract

It is shown that under certain conditions a sample intermediate order statistic of a sequence of random variables has a representation in terms of the empirical distribution function and a remainder which is stochastically of small order. The methods employed yield readily to the general setting of sequences which are m-dependent and not necessarily identicially distributed. Under the assumptions it follows from the representation that the sequence of intermediate order statistics is asymptotically normal. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1977
Accession Number
ADA052315

Entities

People

  • Vernon Watts

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Computing-Related Activities
  • Convergence
  • Data Science
  • Distribution Functions
  • Information Science
  • Interdisciplinary Science
  • Military Research
  • Notation
  • Numbers
  • Order Statistics
  • Probability
  • Random Variables
  • Real Numbers
  • Sequences
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.