LINEAR ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF THE WEIBULL AND GAMMA PROBABILITY DISTRIBUTIONS BY THE USE OF ORDER STATISTICS.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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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 0.5.252.00.54.0 with a sample size of 2115 for the two-order-statistic estimators and a sample size of 2110 for the M-order -statistic estimators. For the Gamma distribution, the shape parameter equals 116 and the sample size equals 2115 for both estimators. Author
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems