Transmuted New Modified Weibull Distribution

Year 2016, , 125 - 135, 15.04.2016

R. Vishnu Vardhan , S. Balaswamy

https://doi.org/10.36753/mathenot.421421

Cited By: 3

Abstract

In statistical and reliability theory, the transmuted distributions are the present day researcher’s
interest because these distributions will fit the data in a better manner by
involving a new parameter namely transmuted parameter. This paper aims to produce
another transmuted distribution based on the new modified weibull distribution using
the quadratic rank transmutation map. Further, the properties such as moments, moment
generating function, Estimation of parameters, order statistics are derived for the
proposed distribution along with the hazard and survival functions.

Keywords

New Modified Weibull Distribution, Transmuted Distributions, Maximum Likelihood Estimation, Reliability Function, Moment Generating Function

References

• [1] Abd El Hady N. Ebraheim., Exponentiated Transmuted Weibull Distribution - A Generalization of the Weibull Distribution. International Journal of Mathematical, Computational, Statistical, Natural and Physical Engineering, 8 (2014), no.6, 901-909.
• [2] Almalki Saad J. and Yuan Jingsong. A new modified weibull distribution. Reliability Engineering and System Safety 111 (2013), 164-170.
• [3] Bain L.J. Analysis for the linear failure-rate life-testing distribution. Technometrics 16 (1974), no. 4, 551-559.
• [4] Elbatal Ibrahim and Aryal Gokarna., On the transmuted additive weibull distribution. Austrian Journal of Statistics 42 (2013), no. 2, 117-132.
• [5] Faton Merovci., Transmuted Exponentiated Exponential Distribution. Mathematical Sciences And Applications E-Notes, 1 (2013), no. 2, 112-122.
• [6] Faton Merovci., Transmuted Rayleigh Distribution. Austrian Journal of Statistics, 42 (2013), no. 1, 21-31.
• [7] Faton Merovci., Transmuted Generalized Rayleigh Distribution. Journal of Statistics Applications and Probability, 3 (2014), no. 1, 9-20.
• [8] Faton Merovci, Ibrahim Elbatal, and Alaa Ahmed., Transmuted Generalized Inverse Weibull Distribution. 2013, arXvi:1309.3268v1 [stat.ME].
• [9] Gokarna R. Aryal and Chris P. Tsokos., Transmuted weibull distribution: A generalization of the weibull probability distribution. European Journal of Pure and Applied Mathematics 4 (2011), no. 2, 89-102.
• [10] Ibrahim Elbatal., Transmuted modified inverse weibull distribution: A generalization of the modified inverse weibull probability distribution. International Journal of Mathematical Archive 4 (2013), no. 8, 117-129.
• [11] Manisha Pal and Montip Tiensuwan., The Beta Transmuted Weibull Distribution. Austrian Journal of Statistics, 43 (2014), no. 2, 133-149.
• [12] Muhammad Shuaib Khan and Robert King. Transmuted modified weibull distribution: A generalization of the modified weibull probability distribution. European Journal of Pure and Applied Mathematics 6 (2013), no. 1, 66-88.
• [13] Muhammad Shuaib Khan and Robert King. Transmuted Modified Inverse Rayleigh Distribution. Austrian Journal of Statistics 44 (2015), 17-29.
• [14] Sarhan A.M. and Zaindin M., Modified weibull distribution. Austrian Journal of Statistics, 11 (2009), 123-136.
• [15] Shaw W.T. and Buckley I.R.C. The alchemy of probability distributions: beyond gramcharlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. 2007, arXiv preprint, page arXiv:0901.0434.