Modified Inverse Weibull Distribution

Khan, Muhammad Shuaib; King, Robert

doi:10.12785/jsap/010204

Cited by 40 publications

(27 citation statements)

References 7 publications

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“…de Gusmão et al (2011) addressed the inverse Weibull model as the limiting distribution of the largest order statistics that is also known as reciprocal Weibull distribution. In recent statistical literature modified inverse Weibull distribution have been proposed by Khan and King (2012) to present a comprehensive description of mathematical properties along with reliability behavior. The cumulative distribution function (cdf) of the modified inverse Weibull distribution is given by…”

Section: Introductionmentioning

confidence: 99%

New generalized inverse Weibull distribution for lifetime modeling

Khan

King

2016

Communications for Statistical Applications and Methods

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This paper introduces the four parameter new generalized inverse Weibull distribution and investigates the potential usefulness of this model with application to reliability data from engineering studies. The new extended model has upside-down hazard rate function and provides an alternative to existing lifetime distributions. Various structural properties of the new distribution are derived that include explicit expressions for the moments, moment generating function, quantile function and the moments of order statistics. The estimation of model parameters are performed by the method of maximum likelihood and evaluate the performance of maximum likelihood estimation using simulation.

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Section: Introductionmentioning

confidence: 99%

New generalized inverse Weibull distribution for lifetime modeling

Khan

King

2016

Communications for Statistical Applications and Methods

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“…[5] defined a three-parameter generalized inverse Weibull distribution with decreasing and unimodal failure rate. [9] proposed the modified inverse Weibull distribution and discussed its various properties. [10] introduced and studied a four-parameter distribution, so-called the beta inverse Weibull distribution and [13] introduced and studied a fourparameter Inverse Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

The Exponentiated Kumaraswamy InverseWeibull Distribution with Application in Survival Analysis

Rodrigues¹,

Silva²,

Hamedani³

2016

JSTA

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In this paper, a new distribution called the exponentiated Kumaraswamy inverse Weibull is proposed. This distribution includes as special cases the inverse exponential, inverse Weibull, inverse Rayleigh and exponentiated inverse Weibull distributions. We study the main properties of this distribution, with special emphasis on its moments and some characteristics related to reliability studies. We also discuss parameter estimation considering the methods of moments and maximum likelihood. An application reveals that the model proposed can be very useful in fitting real data.

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“…The inverse Rayleigh (IR) distribution is the special case of the modified inverse Rayleigh (MIR) distribution when α = 0 and the MIR distribution coincides with the inverse exponential distribution for β = 0. Khan and King (2012), proposed the modified inverse Weibull distribution and presented comprehensive description of the mathematical properties along with its reliability behavior. Khan The article is organized as follows, In Section 2, we present the analytical shapes of the probability density, distribution function, reliability function and hazard function of the subject model.…”

Section: Introductionmentioning

confidence: 99%

Transmuted Modified Inverse Rayleigh Distribution

Khan¹,

King²

2015

AJS

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We introduce the transmuted modified Inverse Rayleigh distribution by using quadratic rank transmutation map (QRTM), which extends the modified Inverse Rayleigh distribution. A comprehensive account of the mathematical properties of the transmuted modified Inverse Rayleigh distribution are discussed. We derive the quantile, moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, order statistics and maximum likelihood estimation The usefulness of the new model is illustrated using real lifetime data.

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Modified Inverse Weibull Distribution

Cited by 40 publications

References 7 publications

New generalized inverse Weibull distribution for lifetime modeling

New generalized inverse Weibull distribution for lifetime modeling

The Exponentiated Kumaraswamy InverseWeibull Distribution with Application in Survival Analysis

Transmuted Modified Inverse Rayleigh Distribution

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