On the Applications of Transmuted Inverted Weibull Distribution
moments, bathtub failure rate, shape parameters
Abstract
In this paper, we introduce a new distribution called transmuted inverted Weibull distribution (TIWD).The new distribution was used in analyzing bathtub failure rates lifetime data.We consider the standard transmuted inverted Weibull distribution (TIWD) that generalizes the standard inverted Weibull distribution (IWD), the new distribution has two shape parameters. The moments, median, survival function, hazard function, maximum likelihood estimators, leastsquares estimators, fisher information matrix and asymptotic confidence intervals were obtained. A real data set is analyzed and it is observed that the (TIWD) distribution can provide a better fitting than (IWD) distribution.
Downloads
How to Cite
References
H Flair, E Elsalloukh, M Mendi, Milanova (2012) The exponentiated inverted Weibull Distribution. 6(2), 167-171.
Govind Mudholkar, Deo Srivastava, Marshall Freimer (1995) The Exponentiated Weibull Family: A Reanalysis of the Bus-Motor-Failure Data. 37(4), 436-445.
Govind Mudholkar, Alan Hutson (1996) The exponentiated weibull family: some properties and a flood data application. 25(12), 3059-3083.
G Aryal, Ch Tsokos (2011) Transmuted Weibull Distribution: A Generalization of the Weibull probability distribution. 4(2), 89-102.
W Shaw, I Buckley (2009) The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map.
Faton Merovci (2013) Transmuted Rayleigh Distribution. 42(1), 21-31.
Muhammad Khan, Robert King, Irene Hudson (2013) Transmuted Modified Weibull distribution: Properties and Application. 11(2), 362-374.
S Ashour, M Eltehiwy (2013) Transmuted Lomax Distribution. 1(6), 121-127.
Faton Merovci, L Puka (2014) Transmuted Generalized Rayleigh Distribution. 3(1), 9-20.
I Elbatal, L S. Diab, N A. Abdul Alim (2013) Transmuted Generalized Linear Exponential Distribution. 83(17), 29-37.
M Khan, G Pasha, A Pasha (2008) Theoretical analysis of inverse Weibull distribution. 7, 2.
D Andrews, A Herzberg (1985) Data: A Collection of Problems from Many Fields for the Student and Research Worker.
Published
2017-11-08
Issue
Section
License
Copyright (c) 2017 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.