Research Article

A new lifetime distribution: transmuted exponential power distribution

Volume: 70 Number: 1 June 30, 2021
EN

A new lifetime distribution: transmuted exponential power distribution

Abstract

In this study, a new statistical distribution called as Transmuted Exponential Power distribution using the quadratic rank transmutation map introduced by Shaw and Buckley [23,24] is suggested. The various mathematical and statistical properties of this distribution are examined. The method of maximum likelihood estimation has been used to estimate the unknown parameters of this distribution. Moreover,  real data analysis is used to compare this new distribution with other some distributions using some goodness of fit measures.

Keywords

References

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  2. Al-Babtain, A., Fattah, A. A., Ahmed, A. H. N., Merovci, F., The Kumaraswamy-transmuted exponentiated modified Weibull distribution, Communications in Statistics-Simulation and Computation, 46 (2017), 3812-3832.
  3. Aryal, G. R., Tsokos, C. P., Transmuted Weibull distribution: A generalization of the Weibull probability distribution, European Journal of Pure and Applied Mathematics 4 (2011), 89-102.
  4. Aryal, G. R., Tsokos, C. P., On the transmuted extreme value distribution with application, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), 1401-1407.
  5. Ashour, S. K., Eltehiwy, M. A., Transmuted exponentiated Lomax distribution, Aust J Basic Appl Sci, 7 (2013), 658-667.
  6. Ashour, S. K., Eltehiwy, M. A., Transmuted lomax distribution, American Journal of Applied Mathematics and Statistics, 1 (2013), 121-127.
  7. Barriga, G. D., Louzada-Neto, F., Cancho, V. G. The complementary exponential power lifetime model, Computational statistics and data analysis, 55(3) (2011), 1250-1259.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

February 18, 2019

Acceptance Date

October 26, 2020

Published in Issue

Year 2021 Volume: 70 Number: 1

APA
Saraçoğlu, B., & Tanış, C. (2021). A new lifetime distribution: transmuted exponential power distribution. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(1), 1-14. https://doi.org/10.31801/cfsuasmas.528306
AMA
1.Saraçoğlu B, Tanış C. A new lifetime distribution: transmuted exponential power distribution. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):1-14. doi:10.31801/cfsuasmas.528306
Chicago
Saraçoğlu, Buğra, and Caner Tanış. 2021. “A New Lifetime Distribution: Transmuted Exponential Power Distribution”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (1): 1-14. https://doi.org/10.31801/cfsuasmas.528306.
EndNote
Saraçoğlu B, Tanış C (June 1, 2021) A new lifetime distribution: transmuted exponential power distribution. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 1 1–14.
IEEE
[1]B. Saraçoğlu and C. Tanış, “A new lifetime distribution: transmuted exponential power distribution”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 1, pp. 1–14, June 2021, doi: 10.31801/cfsuasmas.528306.
ISNAD
Saraçoğlu, Buğra - Tanış, Caner. “A New Lifetime Distribution: Transmuted Exponential Power Distribution”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/1 (June 1, 2021): 1-14. https://doi.org/10.31801/cfsuasmas.528306.
JAMA
1.Saraçoğlu B, Tanış C. A new lifetime distribution: transmuted exponential power distribution. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:1–14.
MLA
Saraçoğlu, Buğra, and Caner Tanış. “A New Lifetime Distribution: Transmuted Exponential Power Distribution”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 1, June 2021, pp. 1-14, doi:10.31801/cfsuasmas.528306.
Vancouver
1.Buğra Saraçoğlu, Caner Tanış. A new lifetime distribution: transmuted exponential power distribution. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Jun. 1;70(1):1-14. doi:10.31801/cfsuasmas.528306

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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