NED University Journal of Research
ISSN 2304-716X
E-ISSN 2706-5758




A LOGICAL ALTERNATIVE FOR THE BURR PROBABILITY DISTRIBUTIONS

Author(s): Abdolrasoul Ranjbaran1, Mohammad Ranjbaran2, Fatema Ranjbaran3, Masoud Falamaki4, Shamsedin Hashemi5, Ali Mohammad Rousta6
1 Associate Professor, Department of Civil Engineering, Shiraz University, Shiraz, Iran, Ph. +98 917 314 5501, Fax: +98 711 6473161, Email: ranjbarn@shirazu.ac.ir.
2 Assistant Professor, Department of Chemical Engineering, Yasouj University, Yasouj, Iran, Email: mranjbaran24@gmail.com.
3 Postgraduate student, Department of Mechanical Engineering, Amirkabir University, Tehran, Iran, Email: narvan.m31@gmail.com.
4 Direct, RMS Construction and Consultancy Services Pty Ltd, Australia, Email: drfalamaki@gmail.com.
5 Assistant Professor, Department of Civil Engineering, Yasouj University, Yasouj, Iran, Email: shamsodin@gmail.com.
6 Assistant Professor, Department of Civil Engineering, Yasouj University, Yasouj, Iran, Email: arousta@mail.yu.ac.ir.

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


Volume: XX

No. 2

Pages: 1-15

Date: August 2023

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.