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A Note On Beta Inverse-Weibull Distribution
Communications in Statistics - Theory and Methods, 2013The inverse Weibull distribution is one of the widely applied distribution for problems in reliability theory. In this article, we introduce a generalization—referred to as the Beta Inverse-Weibull distribution—generated from the logit of a beta random variable.
Sharoon Hanook +3 more
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The Weighted Inverse Weibull Distribution
International Journal of Research and Innovation in Applied Science, 2022This paper introduces the Weighted Inverse Weibull distribution as inverse weighting of the Inverse Weibull distribution. Its various basic statistical properties were explicitly derived and the method of maximum likelihood estimation was used in estimating the model parameters.
Adetunji K. Ilori +1 more
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Modified Inverse Weibull Distribution
Journal of Statistics Applications & Probability, 2012A generalized version of four parameter modified inverse weibull distribution (MIWD) is introduced in this paper. This distribution generalizes the following distributions: (1) Modified Inverse exponential distribution, (2) Modified Inverse Rayleigh distribution, (3) Inverse weibull distribution.
Muhammad Shuaib Khan, Robert King
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Discriminating among inverse Weibull, lognormal, and inverse Gaussian distributions
Quality and Reliability Engineering International, 2023AbstractInverse Weibull, lognormal, and inverse Gaussian are some commonly used statistical distributions for modeling positively skewed failure lifetime data. These distributions share some interesting properties among themselves like they all have uni‐modal hazard rates.
Bishal Diyali +2 more
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Bivariate inverse Weibull distribution
Journal of Statistical Computation and Simulation, 2015ABSTRACTRecently it is observed that the inverse Weibull (IW) distribution can be used quite effectively to analyse lifetime data in one dimension. The main aim of this paper is to define a bivariate inverse Weibull (BIW) distribution so that the marginals have IW distributions.
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Models involving two inverse Weibull distributions
Reliability Engineering & System Safety, 2001In this paper, we look at three models (mixture, competing risk and multiplicative) involving two inverse Weibull distributions. We study the shapes of the density and failure-rate functions and discuss graphical methods to determine if a given data set can be modelled by one of these models. (C) 2001 Elsevier Science Ltd. All rights reserved.
Jiang, R., Murthy, D.N.P., Ji, P.
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On a Weibull-Inverse Exponential Distribution
Annals of Data Science, 2017In this paper we study various reliability properties of a Weibull inverse exponential distribution. The maximum likelihood and Bayes estimates of unknown parameters and reliability characteristics are obtained. Bayes estimates are obtained with respect to the squared error loss function under proper and improper prior situations.
null Chandrakant +2 more
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Modified Beta Inverse Flexible Weibull Extension Distribution
Annals of Data Science, 2021In this article, a new five parameter distribution, known as the modified beta flexible Weibull extension distribution, is derived and studied. Several properties of the distribution including the quantile function, moments, moment generating function, entropies and order statistics are derived.
Abdul Ghaniyyu Abubakari +2 more
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Parameter Estimations of Inverse Weibull Distribution
Advanced Materials Research, 2011under entropy loss function, the E-Bayes estimation and empirical bayes estimation to the parameter of inverse Weibull distribution used conjugate prior are discussed. And we prove the empirical bayes estimation is asymptotically optimal. At last, the MSE of the estimations are compared based on Monte Carlo simulation study.
Wei An Yan +3 more
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Weibull and inverse Weibull composite distribution for modeling reliability data
Model Assisted Statistics and Applications, 2010The Weibull distribution, frequently used for life data analysis, is composited with inverse Weibull distribution to obtain a computationally convenient parametric distribution for modeling reliability data. This two-parameter smooth and continuous natural composition has an inverse Weibull density up to an unknown threshold value and Weibull density ...
Cooray, Kahadawala +2 more
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