A logical alternative for the burr probability distributions

Abdolrasoul Ranjbaran; Mohammad Ranjbaran; Fatema Ranjbaran; Masoud Falamaki; Shamsedin Hashemi; Ali Mohammad Rousta

doi:10.35453/NEDJR-ASCN-2022-0023.R4

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A logical alternative for the burr probability distributions

Author(s)

Abdolrasoul Ranjbaran Department of Civil Engineering, Shiraz University,Shiraz,Iran,

Mohammad Ranjbaran Department of Chemical Engineering, Yasouj University, Yasouj, Iran,

Fatema Ranjbaran Department of Mechanical Engineering, Amirkabir University, Tehran, Iran,

Masoud Falamaki RMS Construction and Consultancy Services Pty Ltd, Australia,

Shamsedin Hashemi Department of Civil Engineering, Yasouj University, Yasouj, Iran,

Ali Mohammad Rousta Department of Civil Engineering, Yasouj University, Yasouj, Iran,

Abstract

The analysis of real-world data in classical statistics is commenced by deriving a density function which requires a lengthy function selection and parameter estimation process. The process is supported by difficult integration to obtain the cumulative frequency function. In view of the difficulties in the existing methods, a super function called the Persian Probability Curve is proposed in this paper. This function is based on logical reasoning and mathematical concepts to overcome the shortcomings of the classical method. It is shown that the Persian probability is equivalent to that of the Burr in the governing differential equation. The validity of the work has been verified by comparing the obtained results with those of others.

Publication Details

Page(s) 1-15

DOI 10.35453/NEDJR-ASCN-2022-0023.R4

Published Journal: NED University Journal of Research, Volume: 20, Issue: 2, Year: 2023

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Keywords

logical reasoning, eal-world data, Burr probability distributions

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