A LOGICAL ALTERNATIVE FOR THE BURR PROBABILITY DISTRIBUTIONS-Reference-Cited by-同舟云学术

A LOGICAL ALTERNATIVE FOR THE BURR PROBABILITY DISTRIBUTIONS

Published:2023-02-10 Issue:2 Volume:XX Page:1-15
ISSN:2304-716X
Container-title:Applied Sciences
language:en
Short-container-title:NEDJR

Author:

Ranjbaran Abdolrasoul¹,Ranjbaran Mohammad²,Ranjbaran Fatema³,Falamaki Masoud⁴,Hashemi Shamsedin²,Rousta Ali Mohammad²

Affiliation:

1. Shiraz University, Shiraz, Iran

2. Yasouj University, Yasouj, Iran

3. Amirkabir University, Tehran, Iran

4. RMS Construction and Consultancy Services Pty Ltd, Australia

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.

Publisher

NED University of Engineering and Technology

Subject

Artificial Intelligence,Applied Mathematics,Computer Science Applications,General Engineering,Materials Science (miscellaneous)

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