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A new family of alpha power-G using cosine function with applications and regression modeling. [PDF]

Sci Rep
Alghamdi AS, ALoufi SF.
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Modifications of the Weibull distribution: A review

Reliability Engineering and System Safety, 2014
Abstract 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
exaly   +2 more sources

Weibull distributions

WIREs Computational Statistics, 2011
AbstractThe basic Weibull distribution is considered the most fundamental and basic lifetime distribution. Various extensions of the Weibull distribution have been proposed since the 1970s and are useful in the modeling of complex lifetime data that are beyond the capability of the basic Weibull. This article reviews the properties of the basic Weibull
Lai, C.D., Murthy, D.N.P., Xie, M.
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On The Weibull MGF

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 flexible Weibull extension

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, Chin-Diew Lai, Ricardas Zitikis   +2 more
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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), 2015
At 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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A derivation for the Weibull distribution

Journal of Theoretical Biology, 1979
Abstract The Weibull distribution is increasingly finding application in the biological sciences, notably in forestry, where it has given good fits to tree-diameter frequency distribution. Interest among foresters is currently focused on improving the interpretation for the two parameters of this distribution, resulting in better understanding of ...
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Generalization of the Weibull distribution: the odd Weibull family

Statistical Modelling, 2006
A 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, 2010
The 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, Sumith Gunasekera, Malwane M. A. Ananda   +2 more
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