Far East Journal of Theoretical Statistics
Volume 18, Issue 2, Pages 161 - 178
(March 2006)
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COMMON NEARLY BEST LINEAR ESTIMATES OF LOCATION AND SCALE
PARAMETERS: NORMAL AND LOGISTIC DISTRIBUTIONS
Patrick G. O. Weke (Kenya)
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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
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. |
Keywords and phrases: estimation, order statistics, unbiased and nearly unbiased
estimators. |
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