PERCENTILE POINTS OF ORDER STATISTICS IN SAMPLES FROM BETA, NORMAL, CHI (1 D.F.) POPULATIONS

Abstract

If p(a,i,N) denotes the ath probability point of ith smallest order statistic in random samples of size N drawn from the Beta distribution, p(a,i,N) is computed accurate to eight decimal places for N = 1(1)30(5)60, i = 1(1) 1+(N/2) and a = 0.01, 0.025, 0.10, 0.25, 0.50, 0.75, 0.90, 0.975, 0.99. Also, the 25th, 50th and 75th percentile points of the Beta distribution for N = 65(5) 100, i = 1(1) 1+(N/2) are computed with the same accruacy. Using the above values the percentile points of the normal, chi (1 d.f.) and Weibull order statistics in samples of sizes up to and including 30 are computed accurate to 4 or 5 decimal places.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1962
Accession Number
AD0410083

Entities

People

  • Nicholas W. Hubacker
  • Zakkula Govindarajulu

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Fields of Study

  • Mathematics

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  • Analytical Mechanics
  • Regression Analysis.