LINEAR ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF THE WEIBULL AND GAMMA PROBABILITY DISTRIBUTIONS BY THE USE OF ORDER STATISTICS.
Abstract
The least squares method of linear estimation can be applied to order statistics of certain continuous distributions. With the shape parameter known, this method is applied to the estimation of the location and scale parameters of the Weibull and Gamma distributions. Coefficients of estimation using the first M-order statistics and the best two-order statistics from a small sample, were calculated and tabled. For the Weibull distribution, the tabled coefficients are for the shape parameter equal to 0.5(.25)2.0(0.5)4.0 with a sample size of 2(1)15 for the two-order-statistic estimators and a sample size of 2(1)10 for the M-order -statistic estimators. For the Gamma distribution, the shape parameter equals 1(1)6 and the sample size equals 2(1)15 for both estimators. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1965
- Accession Number
- AD0630811
Entities
People
- Thomas A. Musson
Organizations
- Air Force Institute of Technology