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Home / Journal of Computational and Theoretical Nanoscience, Volume 12, Number 12

Pearson III Distribution and Its Applications to Stochastic Activity Networks

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Authors: Shawky, A. I 1 ; Abdelkader, Y. H 2 ; Badr, M. M 3 ; 

Source: Journal of Computational and Theoretical Nanoscience, Volume 12, Number 12, December 2015, pp. 5125-5132(8)

Publisher: American Scientific Publishers

DOI: https://doi.org/10.1166/jctn.2015.4486

Explicit expressions are derived for the kth moment of the rth order statistics arising from independent and nonidentically distributed Pearson III random variables. Applications to reliability analysis and stochastic activity networks are given. An upper and lower bound estimate for the network completion times when activity times follow Pearson III as well as the gamma random variables is presented. Mathematica 7 codes to perform the calculations are also given.

Keywords: Moments; Order Statistics; Pearson III Distribution; Project Planning; Reliability

Document Type: Research Article

Affiliations: 1: Department of Statistics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 2: Department of Mathematics, Faculty of Science, Alexandria University, Moharram Bey 21511, Egypt 3: Department of Statistics, Faculty of Science for Girls, King Abdulaziz University, P.O. Box 70973, Jeddah 21577, Saudi Arabia

Publication date: 01 December 2015

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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