A new trigonometric distribution with bounded support and an application

Authors

  • Ahmed Abd El-Bar Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
  • Hassan S. Bakouch Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
  • Shovan Chowdhury Quantitative Methods and Operations Management Area, Indian Institute of Management Kozhikode, Kerala, India

DOI:

https://doi.org/10.33044/revuma.1872

Abstract

 In this paper, we introduce a new bounded distribution by using trigonometric functions, named the cosine-sine distribution. A comprehensive study of its statistical properties is presented along with an application to a unit-interval data set, namely firms risk management cost-effectiveness data. The proposed distribution has increasing, bathtub and v hazard rate shapes. Further, we show that the distribution can be viewed as a truncated exponential sine distribution.

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Published

2021-12-21

Issue

Vol. 62 No. 2 (2021)

Section

Article

License

Copyright (c) 2022 Ahmed Abd El-Bar, Hassan S. Bakouch, Shovan Chowdhury

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