ESTIMATION OF THE SCALE PARAMETER OF THE GAMMA DISTRIBUTION BY USE OF L ORDER STATISTICS.
Abstract
A technique is developed for estimating the scale parameter of a gamma distribution with known shape parameter using 'L' order statistics. A best linear unbiased estimate may be computed by applying tabulated multipliers to 'L' of the first 'M' ordered observations. The variance of an estimator using all 'M' of the observations and the efficiencies of the L-order-statistic -estimators are given. Tabled ranges include shape parameters of alpha = 1(1)6 for sample sizes of N = 1(1)15. A method of obtaining the multipliers when the shape parameter is not an integer is also shown. Estimation by the use of L-order-statistics is particularly useful, for highly efficient estimators relative to the M-order-statistic-estimators may be obtained with a significant reduction in computational effort. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1965
- Accession Number
- AD0630810
Entities
People
- Thomas D. Hill
Organizations
- Air Force Institute of Technology