MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS

Authors

  • Hauwau Yusuf
  • Abubakar Usman
  • Abukakar Yahaya
  • Ibrahim Abubakar Sadiq
  • Olalekan Akanji Bello
  • Saudat Aliyu Adamu

Keywords:

Kumaraswamy distribution, Inverted Kumaraswamy distribution, Quantile function, Reliability function, Maximum likelihood, Order Statistics

Abstract

In the area of distribution theory, statisticians have proposed and developed new models for generalizing the existing ones to make them more flexible and to aid their application in a variety of fields. In this article, we present a new distribution called the Modified Inverted Kumaraswamy Distribution Using Inverse Power Function with three positive parameters, which extends the Inverted Kumaraswamy distribution with two parameters. Some statistical properties of the MIK distribution, such as explicit expressions for the quantile function, probability-weighted moments, moments, generating function, Reliability function, hazard function, and order statistics are discussed. A maximum likelihood estimation technique is employed to estimate the model parameters and the simulation study is presented. The superiority of the new distribution is illustrated with an application to a real data set. The results showed that the new distribution fits better in the real data set amongst the range of distributions considered.

Dimensions

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Published

31-01-2025

How to Cite

MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 234-239. https://doi.org/10.33003/fjs-2025-0901-3177

Issue

Vol. 9 No. 1 (2025): FUDMA Journal of Sciences - Vol. 9 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 234-239. https://doi.org/10.33003/fjs-2025-0901-3177

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