TABLES FOR THE MOMENTS OF GAMMA ORDER STATISTICS

Abstract

Let x1,. . ., xn be n independent and identically distributed gamma variables and let the probability density function of each be given by g (subscript theta) (x) = (exponential to the minus x power)(exponential to the (theta-1) power)/Gamma(theta). Gupta (Technometrics, Vol. 2(1960), 243-262) gave tables for the first four moments of different gamma order statistics when n = 1(1)15 and theta = 1(1)5. In this paper, the first four moments of the gamma order statistics when n = 1(1)16 and theta = 0.5(1)5.5(.5)10.5 are tabulated.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0659167

Entities

People

  • M. C. Breiter
  • Paruchuri R. Krishnaiah

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Applied Mathematics
  • Asymptotic Series
  • Data Science
  • Error Analysis
  • Errors
  • Gaussian Quadrature
  • Information Science
  • Mathematics
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Regression Analysis.