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A modified Weibull distribution [PDF]
A new lifetime distribution capable of modeling a bathtub-shaped hazard-rate function is proposed. The proposed model is derived as a limiting case of the Beta Integrated Model and has both the Weibull distribution and Type I extreme value distribution as special cases.
C D Lai, Min Xie, D N P Murthy
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IEEE Transactions on Communications, 2007
A closed-form expression is derived for the moment generating function of the Weibull distribution when its shape parameter is a rational number.
Saralees Nadarajah, Samuel Kotz
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A closed-form expression is derived for the moment generating function of the Weibull distribution when its shape parameter is a rational number.
Saralees Nadarajah, Samuel Kotz
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Reliability Engineering & System Safety, 2007
We propose a new two-parameter ageing distribution which is a generalization of the Weibull and study its properties. It has a simple failure rate (hazard rate) function. With appropriate choice of parameter values, it is able to model various ageing classes of life distributions including IFR, IFRA and modified bathtub (MBT).
Mark Bebbington +2 more
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We propose a new two-parameter ageing distribution which is a generalization of the Weibull and study its properties. It has a simple failure rate (hazard rate) function. With appropriate choice of parameter values, it is able to model various ageing classes of life distributions including IFR, IFRA and modified bathtub (MBT).
Mark Bebbington +2 more
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Modifications of the Weibull distribution: A review
Reliability Engineering and System Safety, 2014Abstract It is well known that the Weibull distribution is the most popular and the most widely used distribution in reliability and in analysis of lifetime data. Unfortunately, its hazard function cannot exhibit non-monotonic shapes like the bathtub shape or the unimodal shape.
Saralees Nadarajah
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Analytical and numerical estimates of the Weibull/M/1 and Weibull/Weibull/1 queues efficiency
2015 IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW), 2015At the present time network communication is an important issue where erratic human behavior plays a major role, so the problem of network server efficiency analysis comes up. However, traditional models with Poisson arrival jobs flow are not accurate enough for such cases, so G/M/1 or G/G/1 models with non-exponential distribution of inter-arrival ...
Araik Tamazian, Mikhail Bogachev
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Generalization of the Weibull distribution: the odd Weibull family
Statistical Modelling, 2006A three-parameter generalization of the Weibull distribution is presented to deal with general situations in modeling survival process with various shapes in the hazard function. This generalized Weibull distribution will be referred to as the odd Weibull family, as it is derived by considering the distributions of the odds of the Weibull and inverse ...
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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 ...
Kahadawala Cooray +2 more
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SKEWNESS FOR THE WEIBULL FAMILY
Statistica Neerlandica, 1986Abstract. The skewness of the Weibull family of distributions is discussed for all values of the shape parameter. This class includes unimodal probability densities for which the coefficient of skewness μ3/o3 is positive, but the order of the mean, median and mode is μ < m < M. For values of the shape parameter used in practice the distributions
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