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Statistical properties of negative binomial distribution under impressive observation


Ajibola Akeem Adepoju;Usman Mohammed;Safiya Sada Sani;Kabiru Adamu;Kabiru Tukur;Aliyu Ismail Ishaq

JOURNAL: Journal of Nigerian Statistical Association Vol.31 2019
YEAR: 2019


It is observed that some random variables are measured with uncertainty. In this paper, we intend to generate some properties of negative binomial distribution under imprecise measurement. These properties include fuzzy mean, fuzzy variance, fuzzy moment and fuzzy moment generating function. The uncertainty in the observations may not be addressed with the classical approach to probability distribution; therefore, fuzzy set theory helps to modify the classical approach.


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