Optimum group limits for estimation in scaled log-logistic distribution from a grouped data

The well known logistic distribution is considered. A transformation of the logistic variate in terms of exponential function results in a new distribution called log-logistic distribution suggested by Balakrishnan et al (1987). Estimation of its scale parameter from a grouped data is presented. Opt...

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Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2005-07, Vol.46 (3), p.359-377
Main Authors: Kantam, R. R. L., Roa, A. Vasudeva, Roa, G. Srinivasa
Format: Article
Language:English
Subjects:
Distribution
Exponential functions
Mathematical models
Optimization
Studies
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Summary:The well known logistic distribution is considered. A transformation of the logistic variate in terms of exponential function results in a new distribution called log-logistic distribution suggested by Balakrishnan et al (1987). Estimation of its scale parameter from a grouped data is presented. Optimal group limits in the case of equispaced as well as unequispaced groupings so as to have a maximum asymptotic relative efficiency are worked out. The grouping correction in the case of equispaced grouped dta with a mid pint type estimator is also suggested. The results are explained by an example. [PUBLICATION ABSTRACT]
ISSN:0932-5026
1613-9798
DOI:10.1007/BF02762839