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Structural properties of zero-one-inflated negative-binomial crack distribution

Author Affiliations

  • 1University of Botswana, Gaborone, Botswana
  • 2University of Botswana, Gaborone, Botswana

Res. J. Mathematical & Statistical Sci., Volume 7, Issue (3), Pages 38-42, September,12 (2019)

Abstract

In modeling of discrete data, common discrete distributions sometimes fail to fit the observed data due to over dispersion resulting from excessive zero counts. In those situations, Zero Inflated models act as best alternative models to handle that kind of data. When the data contains both high frequencies of zero and one counts, Zero-Inflated models can also perform poorly. As a result, this paper aimed at developing a new alternative model titled the Zero-One Inflated Negative Binomial Crack (ZOINBCR) distribution that would account for excessive zeroes and ones in dataset. Properties and generalizations of ZOINBCR distribution were provided. Its parameters were also obtained based on the Method of Moments procedure and the Maximum Likelihood estimation procedure.

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