On estimation of generalized logarithmic series distribution

Anwar, Hassan and Khurshid, Mir Ahmad (2006) On estimation of generalized logarithmic series distribution. Hungarian Statistical Review, 84 (SN10). pp. 171-180. ISSN 0039-0690

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Abstract

In this paper we have studied the estimation of generalized logarithmic series distribution (GLSD) by the method of weighted discrepancies between observed and expected frequencies. The maximum likelihood, minimum chi-square and the discrimination information methods are special cases of the weighted discrepancies method. A new weighted technique, the empirical weighted rates of change (EWRC) for estimating the GLSD parameters has been obtained. We have fitted the GLSD to several zero-truncated biological data by different methods and observed that in most of the cases the GLSD provided a better fit than the usual logarithmic series distribution (LSD) by using EWRC method.

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