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




PERSIAN PROBABILITY FUNCTION: AN ALTERNATIVE TO CLASSICAL PROBABILITY FUNCTION

Author(s): Abdolrasoul Ranjbaran1, Mohammad Ranjbaran2, Fatema Ranjbaran3, Shamsodin Hashemi4, Ali Mohammad Rousta5
1 Associate Professor, Department of Civil and Environmental Engineering, Shiraz University, Iran, Ph. +98 917 314 5501, Fax: +98 711 6473161, Email: ranjbarn@shirazu.ac.ir.
2 Assistant Professor, Department of Chemical Engineering, Yasouj University, Iran, E-mail: mranjbaran24@gmail.com.
3 Postgraduate student, Department of Mechanical Engineering, Amirkabir University, Iran, E-mail: narvan.m31@gmail.com.
4 Assistant Professor, Department of Civil Engineering, Yasouj University, Iran, E-mail: shamsodin@gmail.com.
5 Assistant Professor, Department of Civil Engineering, Yasouj University, Iran, E-mail: arousta@mail.yu.ac.ir.

https://doi.org/10.35453/NEDJR-ASCN-2021-0026R1


Volume: XIX

No. 2

Pages: 19-37

Date: March 2022

Abstract:
This paper presents the details of an analytical investigation which was carried out to propose Persian curve. The curve provides an alternative of probability functions to define the state of a system. The Persian curves are super functions of the state variable which includes state functions and two control parameters. The state variable is a scaled identification parameter of a system. The state functions are two specific functions of the state variable. The control parameters are determined from the real-world data. Since the Persian curve has the basic properties of the probability function, it is called the Persian probability function. It is concluded that all natural phenomena are certain and the lack of knowledge has led the humans to divide the phenomena into certain and stochastic categories. The proposed Persian curve was validated by analysing the probability data from different fields of study.