Weak Convergence of Some Quantile Processes Arising in Progressively Censored Tests,

Abstract

For progressive censoring schemes pertaining to a general class of (parametric as well as nonparametric) testing situations, one encounters a (partial) sequence of linear combinations of functions of order statistics where the coefficients are themselves stochastic variables. Weak convergence of such a quantile process to an appropriate Gaussian function is studied here, and the same is incorporated in the formulation of suitable (time -) sequential tests based on these quantile processes. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1976
Accession Number
ADA036392

Entities

People

  • Pranab Kumar Sen

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Brownian Motion
  • Civil Engineering
  • Coefficients
  • Convergence
  • Data Science
  • Information Science
  • Invariance
  • North Carolina
  • Numbers
  • Order Statistics
  • Permutations
  • Probability
  • Random Variables
  • Sequences
  • Statistics
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.