A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions

Çiğdem Topçu Gülöksüz; Nuri Çelik

doi:10.17776/csj.1037935

EN

A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions

Abstract

In this paper, generating extension forms for continuous probability distribution functions is studied. The considered transformer function is applied to three well-known probability distributions- Normal, Kumaraswamy, Weibull- and new extensions of these distributions are obtained. The related functions of the new extensions are defined, random samples are generated from the new extensions and the results are presented. Parameter estimation procedures of the extensions are studied, and likelihood equations are obtained. To demonstrate the modeling performance of the extensions, three different data sets are considered, separately. Each data set is modeled by both the corresponding probability distribution and its extensions. The new extensions give the best fit to the corresponding data over the well-known probability distributions.

Keywords

Extensions of probability distributions, Transformer function, Quantile function, Maximum likelihood estimation, Skewness.

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Çiğdem Topçu Gülöksüz ^*
0000-0002-7433-1297
Türkiye

Nuri Çelik
0000-0002-4234-2389
Türkiye

Publication Date

June 29, 2022

Submission Date

December 17, 2021

Acceptance Date

April 28, 2022

Published in Issue

Year 2022 Volume: 43 Number: 2

DOI

https://doi.org/10.17776/csj.1037935

IZ

https://izlik.org/JA87RF35SW

APA

Topçu Gülöksüz, Ç., & Çelik, N. (2022). A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. Cumhuriyet Science Journal, 43(2), 351-357. https://doi.org/10.17776/csj.1037935

AMA

1.Topçu Gülöksüz Ç, Çelik N. A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. CSJ. 2022;43(2):351-357. doi:10.17776/csj.1037935

Chicago

Topçu Gülöksüz, Çiğdem, and Nuri Çelik. 2022. “A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions”. Cumhuriyet Science Journal 43 (2): 351-57. https://doi.org/10.17776/csj.1037935.

EndNote

Topçu Gülöksüz Ç, Çelik N (June 1, 2022) A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. Cumhuriyet Science Journal 43 2 351–357.

IEEE

[1]Ç. Topçu Gülöksüz and N. Çelik, “A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions”, CSJ, vol. 43, no. 2, pp. 351–357, June 2022, doi: 10.17776/csj.1037935.

ISNAD

Topçu Gülöksüz, Çiğdem - Çelik, Nuri. “A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions”. Cumhuriyet Science Journal 43/2 (June 1, 2022): 351-357. https://doi.org/10.17776/csj.1037935.

JAMA

1.Topçu Gülöksüz Ç, Çelik N. A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. CSJ. 2022;43:351–357.

MLA

Topçu Gülöksüz, Çiğdem, and Nuri Çelik. “A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions”. Cumhuriyet Science Journal, vol. 43, no. 2, June 2022, pp. 351-7, doi:10.17776/csj.1037935.

Vancouver

1.Çiğdem Topçu Gülöksüz, Nuri Çelik. A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. CSJ. 2022 Jun. 1;43(2):351-7. doi:10.17776/csj.1037935

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions

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Keywords

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