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Biometrika 1966 53(3-4):565-570; doi:10.1093/biomet/53.3-4.565
© 1966 by Biometrika Trust
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Estimation of the parameters of the logistic distribution

SHANTI S. GUPTA and MRUDULLA GNANADESIKAN *

Purdue University

Three different methods of estimation are studied for estimating the parameters of the logistic distribution. The best linear unbiased estimators based on sample quantiles proposed by Ogawa (1951) are obtained and the determination of the optimum spacing of the sample quantiles is discussed. Estimators proposed by Blom (1958) and Jung (1955), which are linear functions of order statistics, are discussed together with the relative efficiencies of them estimators with respect to the corresponding best linear unbiased estimators of Lloyd (1952).


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