PERSIAN PROBABILITY FUNCTION: AN ALTERNATIVE TO CLASSICAL PROBABILITY FUNCTION

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.