Accession Number:

AD0621150

Title:

BEST LINEAR UNBIASED ESTIMATORS OF THE PARAMETERS OF THE LOGISTIC DISTRIBUTION USING ORDER STATISTICS.

Descriptive Note:

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

Report Date:

1965-08-01

Pagination or Media Count:

43.0

Abstract:

Let X sub l, n or x sub 2, n or . . . or x sub n, n be the n order statistics from a logistic distribution with mean m and standard deviation s, respectively. The best linear estimators of the type a sub i, n x sub i, n and b sub i, n x sub i, n where the extends from r sub 1 1 to n-r sub 2 and where r sub 1 and r sub 2 are the missing observations in the beginning and at the end i.e. censored case. Tables of a sub i, n and b sub i, n are given for n2125 for selected values of r sub 1 and r sub 2. The variances and covariances of these estimators are also given and relative efficiencies are evaluated. A table of the covariances of these estimators are also given and relative efficiencies are evaluated. A table of the covariances for n11125 of all order statistics is also provided. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE