Research Article

Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications

Volume: 12 Number: 1 July 31, 2019
  • Joseph Thomas *
  • Samuel Chiabom Zelibe
  • Eferhonore Eyefia
EN

Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications

Abstract

This study introduced a new distribution from the alpha power inverted exponential family of distributions
called Kumaraswamy Alpha Power Inverted Exponential distribution (KAPIE). We provide some of the statistical properties of this distribution; such as hazard rate function, quantile function, skewness, kurtosis, and order statistics.
The parameters of the distribution are obtained by a method of maximum likelihood approach. The empirical importance
and flexibility of this new distribution in modeling with real-life dataset applications was carefully examined and competes favourably well with other distributions.

Keywords

References

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  3. Aryal, G. R. and Yousof, H. M. (2017). The exponentiated generalized-G Poisson family of distributions. Economic Quality Control, 32(1), 1-17.
  4. Barreto-Souza, W., and Simas, A.B. (2013). The exp-G family of probability distributions. Brazilian Journal of Probability and Statistics 27:84-109.
  5. Bourguignon M., Silva R. B., and Cordeiro G. M. (2014). The Weibull-G Family of Probability Distributions, Journal of Data Science, 12, 53-68.
  6. Cordeiro, G. M., Ortega, E. M. and da Cunha, D. C. C. (2013). The exponentiated generalized class of distributions. Journal of Data Science, 11, 1-27.
  7. Cordeiro, G.M., Hashimoto, E. M. and Ortega, E. M. M. (2014). The McDonald Weibull model. Statistics: A Journal of Theoretical and Applied Statistics, 48, 256-278.
  8. Cordeiro, G.M., Ortega, E. M. M. and Nadarajah, S. (2010). The Kumaraswamy Weibull distribution with application to failure data. Journal of the Franklin Institute, 347, 1317-1336.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Joseph Thomas * This is me
0000-0001-8986-753X
Nigeria

Samuel Chiabom Zelibe This is me
Nigeria

Eferhonore Eyefia This is me
Nigeria

Publication Date

July 31, 2019

Submission Date

March 20, 2019

Acceptance Date

December 12, 2019

Published in Issue

Year 2019 Volume: 12 Number: 1

APA
Thomas, J., Zelibe, S. C., & Eyefia, E. (2019). Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications. Istatistik Journal of The Turkish Statistical Association, 12(1), 35-48. https://izlik.org/JA26BT87MF
AMA
1.Thomas J, Zelibe SC, Eyefia E. Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications. IJTSA. 2019;12(1):35-48. https://izlik.org/JA26BT87MF
Chicago
Thomas, Joseph, Samuel Chiabom Zelibe, and Eferhonore Eyefia. 2019. “Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications”. Istatistik Journal of The Turkish Statistical Association 12 (1): 35-48. https://izlik.org/JA26BT87MF.
EndNote
Thomas J, Zelibe SC, Eyefia E (July 1, 2019) Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications. Istatistik Journal of The Turkish Statistical Association 12 1 35–48.
IEEE
[1]J. Thomas, S. C. Zelibe, and E. Eyefia, “Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications”, IJTSA, vol. 12, no. 1, pp. 35–48, July 2019, [Online]. Available: https://izlik.org/JA26BT87MF
ISNAD
Thomas, Joseph - Zelibe, Samuel Chiabom - Eyefia, Eferhonore. “Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications”. Istatistik Journal of The Turkish Statistical Association 12/1 (July 1, 2019): 35-48. https://izlik.org/JA26BT87MF.
JAMA
1.Thomas J, Zelibe SC, Eyefia E. Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications. IJTSA. 2019;12:35–48.
MLA
Thomas, Joseph, et al. “Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications”. Istatistik Journal of The Turkish Statistical Association, vol. 12, no. 1, July 2019, pp. 35-48, https://izlik.org/JA26BT87MF.
Vancouver
1.Joseph Thomas, Samuel Chiabom Zelibe, Eferhonore Eyefia. Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications. IJTSA [Internet]. 2019 Jul. 1;12(1):35-48. Available from: https://izlik.org/JA26BT87MF