A NEW GENERALIZATION OF THE LOGARITHMIC SERIES DISTRIBUTION

作者：Mishra A^*

来源：Studia Scientiarum Mathematicarum Hungarica, 2014, 51(1): 41-49.

DOI：10.1556/SScMath.51.2014.1.1257

• Zero- truncated negative binomial distribution
• limiting case
• quasi logarithmic series distribution
• moments
• goodness of fit

A new generalization of the logarithmic series distribution has been obtained as a limiting case of the zero-truncated Mishra's [10] generalized negative binomial distribution (GNBD). This distribution has an advantage over the Mishra's [9] quasi logarithmic series distribution (QLSD) as its moments appear in compact forms unlike the QLSD. This makes the estimation of parameters easier by the method of moments. The first four moments of this distribution have been obtained and the distribution has been fitted to some well known data-sets to test its goodness of fit.

• 出版日期2014-3