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Year 2015, Volume: 44 Issue: 6, 1553 - 1568, 01.12.2015

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The modified beta Weibull distribution

Year 2015, Volume: 44 Issue: 6, 1553 - 1568, 01.12.2015

Abstract




A new five-parameter model called the modified beta Weibull probability distribution is being introduced in this paper. This model turns
out to be quite flexible for analyzing positive data and has bathtub and
upside down bathtub hazard rate function.


Our main objectives are to obtain representations of certain statistical
functions and to estimate the parameters of the proposed distribution.
As an application, the probability density function is utilized to model
two actual data sets. The new distribution is shown to provide a better
fit than related distributions.


The proposed distribution may serve as a viable alternative to other
distributions available in the literature for modeling positive data arising in various fields of scientific investigation such as reliability theory,
hydrology, medicine, meteorology, survival analysis and engineering. 




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There are 1 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

Muhammad Nauman Khan

Publication Date December 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 6

Cite

APA Khan, M. N. (2015). The modified beta Weibull distribution. Hacettepe Journal of Mathematics and Statistics, 44(6), 1553-1568. https://izlik.org/JA52PL25LA
AMA 1.Khan MN. The modified beta Weibull distribution. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1553-1568. https://izlik.org/JA52PL25LA
Chicago Khan, Muhammad Nauman. 2015. “The Modified Beta Weibull Distribution”. Hacettepe Journal of Mathematics and Statistics 44 (6): 1553-68. https://izlik.org/JA52PL25LA.
EndNote Khan MN (December 1, 2015) The modified beta Weibull distribution. Hacettepe Journal of Mathematics and Statistics 44 6 1553–1568.
IEEE [1]M. N. Khan, “The modified beta Weibull distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, pp. 1553–1568, Dec. 2015, [Online]. Available: https://izlik.org/JA52PL25LA
ISNAD Khan, Muhammad Nauman. “The Modified Beta Weibull Distribution”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 1, 2015): 1553-1568. https://izlik.org/JA52PL25LA.
JAMA 1.Khan MN. The modified beta Weibull distribution. Hacettepe Journal of Mathematics and Statistics. 2015;44:1553–1568.
MLA Khan, Muhammad Nauman. “The Modified Beta Weibull Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, Dec. 2015, pp. 1553-68, https://izlik.org/JA52PL25LA.
Vancouver 1.Khan MN. The modified beta Weibull distribution. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Dec. 1;44(6):1553-68. Available from: https://izlik.org/JA52PL25LA