On the Logarithms of High Order Spacings.

Abstract

The sum of the logarithms of the gaps between order statistics of order m+n and n for n=0 to n+1-m is studied as a test for uniformity on the unit interval, given a sample of size N. Exact means and variances and asymptotic normality are shown in the null case for this problem and that on the circle. Power studies of the test for local alternatives show that the Pitman efficiency is proportional to m.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADA023716

Entities

People

  • Noel Cressie

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Computing-Related Activities
  • Data Science
  • Efficiency
  • Information Science
  • Interdisciplinary Science
  • Intervals
  • Normality
  • Order Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster