BEST LINEAR UNBIASED ESTIMATION OF LOCATION AND SCALE PARAMETERS OF WEIBULL DISTRIBUTION USING ORDERED OBSERVATIONS

Best linear unbiased estimation of the location and scale parameters of the Weibull distribution is considered. Best linear unbiased coefficients for the ordered observations in censored and uncensored sample are presented in Table 1. The expected values and variances of the Weibull order statistics are presented in Table 2. The product moments and the covariances of the Weibull order statistics are given in Table 3. The sample sizes considered are up to and including 12. Throughout, values of practical interest for the S shape parameter of the Weibull distribution are considered. Qualified requestors may obtain ccpies of this report from the ASTIA Document Service Center, Arlington Hall Station, Arlington 12, Virginia,WDepartment of Defense contractors must be established for ASTIA services or have their "need-to-know " certified by the cognizant military agency S of their project or contract