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On Some New Families of Power Series Distributions| Chapter 11 | Current Topics on Mathematics and Computer Science Vol. 8

The power series distributions (PSD) class is used to investigate several general mathematical features of the new family of distributions in a coherent manner. In a random number with a power series distribution, a new cumulative distribution function and probability density are obtained for continuous type random variables that reflect the maximum or minimum in a succession of independent and identically distributed random variables. The Poisson Limit Theorem is used to develop and assess an asymptotic result. The simulation strategies for various family distributions are proposed in this chapter. Balkema and de Haan (1974), Bryson (1974), Ahsanullah (1991), Balakrishnan and Ahsanullah (1994), Childs and others (2001), Al Awadhi and Ghitany (2001, 2007), Zahrani and Harbi (2013), Leahu, Munteanu and Cataranciuc (2013), Al-Zahrani and Sagor (2014), MH Tahir, GM Cordeiro (2016). The Eclipse SDK programming environment was used to implement the aforementioned algorithm.

 

Author (S) Details

Bogdan Gheorghe Munteanu
Departament of Fundamental Sciences, “Henri Coanda” Air Force Academy of Brasov, Romania.

View Book:-  https://stm.bookpi.org/CTMCS-V8/article/view/3075

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