Invariance Principles for Jackknifing U-Statistics for Finite Population Sampling and Some Applications.

Abstract

For simple random sampling (without replacement) from a finite population, suitable stochastic processes are constructed from the entire sequence of jackknife estimators based on functions of U-statistics and these are approximated in distribution by some Brownian bridge processes. Strong convergence of the Tukey estimator of the variance of jackknife U-statistics has also been established. Some applications of these results in sequential analysis relating to finite population sampling are also considered. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA059014

Entities

People

  • Hiranmay Majumdar
  • Pranab Kumar Sen

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Convergence
  • Data Science
  • Estimators
  • Information Science
  • Probability
  • Random Variables
  • Sampling
  • Sequences
  • Sequential Analysis
  • Statistical Algorithms
  • Statistical Sampling
  • Statistics
  • Stochastic Processes
  • Surveys
  • Theorems
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Statistical inference.