BEST LINEAR UNBIASED ESTIMATION OF LOCATION AND SCALE PARAMETERS OF WEIBULL DISTRIBUTION USING ORDERED OBSERVATIONS
Abstract
Best linear unbiased estimation of location and scale parameters of the Weibull distributions using ordered observations of a random sample is considered. It is assumed that the shape parameter of the Weibull distribution is known. For sample sizes up to and including five, all possible censoring is considered. For sample sizes greater than five, one-sided censoring (that is, large values of the sample are missing) is considered. The coefficients are presented in tabular form. For each sample size and the value of the shape parameter, the first row of coefficients in the table correspond to the best linear unbiased of the location parameter and the second row of coefficients correspond to the best estimation of the scale parameter. The accuracy of these coefficients is to four or more decimal places for sample sizes less than or equal to 5, to three or more decimal places for sample sizes 6 to 9 and to two or more decimal places for sample sizes 10 to 12.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1962
- Accession Number
- AD0409685
Entities
People
- Madhukar Joshi
- Zkkula Govindarajulu