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Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression

Author

Listed:
  • Suleman Nasiru
  • Abdul Ghaniyyu Abubakari
  • Irene Dekomwine Angbing

Abstract

In this paper, we introduce a new three‐parameter distribution defined on the unit interval. The density function of the distribution exhibits different kinds of shapes such as decreasing, increasing, left skewed, right skewed, and approximately symmetric. The failure rate function shows increasing, bathtub, and modified upside‐down bathtub shapes. Six different frequentist estimation procedures were proposed for estimating the parameters of the distribution and their performance assessed via Monte Carlo simulations. Applications of the distribution were illustrated by analyzing two datasets and its fit compared to that of other distributions defined on the unit interval. Finally, we developed a regression model for a response variable that follows the new distribution.

Suggested Citation

  • Suleman Nasiru & Abdul Ghaniyyu Abubakari & Irene Dekomwine Angbing, 2021. "Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9955657
    DOI: 10.1155/2021/9955657
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    References listed on IDEAS

    as
    1. Min-Tsai Lai, 2013. "Optimum number of minimal repairs for a system under increasing failure rate shock model with cumulative repair-cost limit," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 7(2), pages 95-107.
    2. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
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