Common nearly best linear estimates of location and scale parameters: normal And logistic distributions
Abstract
Common nearly best linear estimates of location and scale parameters
of normal and logistic distributions, which are based on complete
samples, are considered. Here the population from which the samples
are drawn is either normal or logistic population or a fusion of both
distributions and the estimates are computed when it is not yet known
which of the two populations (between the normal and logistic) is true.
The problem discussed-in this paper involves two possible population
types in a given sample. Samples of sizes n = 5, 6, 8, 10 and 20 are used
.to validate these estimates and a comparison of their variances is made
with those of the best linear unbiased estimators (BLUEs) for normal
and logistic distributions.
Citation
Far East J. Thea. Stat. 18(2) (2006), 161-178Publisher
Pushpa Publishing House Department of Mathematics University of Nairobi, Nairobi, Kenya