Research Article

Exponentiated Weibull-logistic distribution

Volume: 4 Number: 2 September 30, 2020
EN

Exponentiated Weibull-logistic distribution

Abstract

In this paper, exponentiated Weibull-logistic distribution is introduced. The main functions of proposed distribution are derived and plotted for different parameter values. Besides, skewness and kurtosis measures of proposed distribution are presented. Then, by finding moment generating function, expected value and variance are derived. A simulation study is given for showing performance of exponentiated Weibull-logistic distribution by the maximum likelihood estimation approach. Finally, applications based on real datasets are presented and proved that, exponentiated Weibull-logistic distribution is better than existing distributions in literature.

Keywords

References

  1. Reference1: Ahmad, Z., Elgarhy, M., Hamedani, G. G. (2018). A new Weibull-X family of distributions: properties, characterizations and applications. Journal of Statistical Distributions and Applications, 5(5).
  2. Reference2: Alizadeh, M., Rasekhi, M., Haitham M. Y., Hamedani, G. G. (2018). The transmuted Weibull-G family of distributions. Hacettepe Journal of Mathematics and Statistics, 47(6), 1671-1689.
  3. Reference3: Bourguignon, M., Silva, R. B., Cordeiro, G. M. (2014). The Weibull-G family of probability distributions. Journal of Data Science, 12, 53-68.
  4. Reference4: Bursa, N., Özel, G. (2017). The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics, 46(2), 277-292.
  5. Reference5: Cordeiro, G. M., Ortega, E. M. M., Ramires, T. G. (2015). A new generalized Weibull family of distributions: mathematical properties and applications. Journal of Statistical Distributions and Applications, 2(13).
  6. Reference6: Cordeiro, G. M., Afify, A. Z., Haitham M. Y., Pescim, R. R., Aryal, G. R. (2017). The exponentiated Weibull-H family of distributions: theory and applications. Mediterranean Journal of Mathematics, 14(4), 155.
  7. Reference7: Elgarhy, M., Shakil, M., Kibria, B.M.G. (2017). Exponentiated Weibull-exponential distribution with applications. Communications Series A1: Mathematics and Statistics, 12(2), 710-725.
  8. Reference8: Gurvich, M. R., DiBenedetto, A. T., Ranade, S. V. (1997). A new statistical distribution for characterizing the random strength of brittle materials. Journal of Materials Science, 32, 2559-2564.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

September 30, 2020

Submission Date

March 29, 2020

Acceptance Date

September 21, 2020

Published in Issue

Year 2020 Volume: 4 Number: 2

APA
Murat, U., & Özel, G. (2020). Exponentiated Weibull-logistic distribution. Bilge International Journal of Science and Technology Research, 4(2), 55-62. https://izlik.org/JA32EN67MA
AMA
1.Murat U, Özel G. Exponentiated Weibull-logistic distribution. bilgesci. 2020;4(2):55-62. https://izlik.org/JA32EN67MA
Chicago
Murat, Uğur, and Gamze Özel. 2020. “Exponentiated Weibull-Logistic Distribution”. Bilge International Journal of Science and Technology Research 4 (2): 55-62. https://izlik.org/JA32EN67MA.
EndNote
Murat U, Özel G (September 1, 2020) Exponentiated Weibull-logistic distribution. Bilge International Journal of Science and Technology Research 4 2 55–62.
IEEE
[1]U. Murat and G. Özel, “Exponentiated Weibull-logistic distribution”, bilgesci, vol. 4, no. 2, pp. 55–62, Sept. 2020, [Online]. Available: https://izlik.org/JA32EN67MA
ISNAD
Murat, Uğur - Özel, Gamze. “Exponentiated Weibull-Logistic Distribution”. Bilge International Journal of Science and Technology Research 4/2 (September 1, 2020): 55-62. https://izlik.org/JA32EN67MA.
JAMA
1.Murat U, Özel G. Exponentiated Weibull-logistic distribution. bilgesci. 2020;4:55–62.
MLA
Murat, Uğur, and Gamze Özel. “Exponentiated Weibull-Logistic Distribution”. Bilge International Journal of Science and Technology Research, vol. 4, no. 2, Sept. 2020, pp. 55-62, https://izlik.org/JA32EN67MA.
Vancouver
1.Uğur Murat, Gamze Özel. Exponentiated Weibull-logistic distribution. bilgesci [Internet]. 2020 Sep. 1;4(2):55-62. Available from: https://izlik.org/JA32EN67MA