Research Article

Transmuted complementary exponential power distribution: properties and applications

Volume: 41 Number: 2 June 25, 2020
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Transmuted complementary exponential power distribution: properties and applications

Abstract

In this study, we introduce a new lifetime distribution by using quadratic rank transmutation map. The some properties of this new distribution is provided. Furthermore, the parameters of this new distribution are estimated by the maximum likelihood method. The performances of the estimates are examined according to bias and mean squared errors (MSEs) criteria through a Monte Carlo simulation study. Finally, two applications with real data are presented to evaluate the fits of introduced distribution. 

Keywords

References

  1. [1] 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.
  2. [2] Smith, R. M., Bain, L. J. An exponential power life-testing distribution. Communications in Statistics-Theory and Methods, 4 (5) (1975) 469-481.
  3. [3] Shaw, W. T., Buckley, I. R. The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. (2009) arXiv preprint arXiv:0901.0434
  4. [4] Aryal, G. R. Transmuted log-logistic distribution. Journal of Statistics Applications and Probability, (2013), 2-1 11-20.
  5. [5] Aryal, G. R., Tsokos, C. P. Transmuted Weibull distribution: A generalization of theWeibull probability distribution. European Journal of Pure and Applied Mathematics, 4 (2) (2011) 89-102.
  6. [6] Khan, M. S., King, R., Hudson, I. L. Transmuted Kumaraswamy Distribution. Statistics in Transition new series, 17 (2) (2016) 183-210.
  7. [7] Merovci, F. Transmuted exponentiated exponential distribution. Mathematical Sciences and Applications E-Notes, 1-2, (2013) 112-122.
  8. [8] Gradshteyn, I., Ryzhik, I. M. Table of integrals, series, and products. Academic Press, San Diego, 6th edition, 2000.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

June 25, 2020

Submission Date

December 25, 2019

Acceptance Date

March 24, 2020

Published in Issue

Year 2020 Volume: 41 Number: 2

DOI

https://doi.org/10.17776/csj.664757

IZ

https://izlik.org/JA32AR83MT

Cite

RIS / Bibtex
APA
Tanış, C., Saraçoğlu, B., Kuş, C., & Pekgör, A. (2020). Transmuted complementary exponential power distribution: properties and applications. Cumhuriyet Science Journal, 41(2), 419-432. https://doi.org/10.17776/csj.664757

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