A modified Weibull distribution

By Chin Diew Lai, Min Xie, D. Murthy. IEEE Transactions on Reliability, 2003

668 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/bd1303b2b040966cfcd00c699208a4383e9681d0

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Citations in the corpus

The Kumaraswamy-Log-Logistic Distribution (2012, background): “…presented by Xie and Lai (1995), the extended Weibull distribution (Xie et al. 2002), the modified Weibull (MW) distribution proposed by Lai et al. (2003), the beta exponential (BE) distribution introduced by Nadarajah and Kotz (2006), the extended flexible Weibull distribution defined…”
The exponentiated generalized gamma distribution with application to lifetime data (2011, background): “Another important characteristic of the distribution is that it contains, as special sub-models, the Weibull, EW [6,7], exponentiated exponential (EE) [13,14], MW [9] and generalized Rayleigh (GR) [15] distributions, among some other distributions.”
A General Transmuted Family of Distributions (2018, methodology): “The MLEs of θ, λ1 and λ2 are obtained by maximizing (15).”
General results for the beta-modified Weibull distribution (2011, methodology): “This generalization contains as special sub-models several distributions such as the EW [6,7], exponentiated exponential (EE) [15,16], MW [10], generalized Rayleigh (GR) [17] and GMW distributions, among several others.”
The Marshall-Olkin additive Weibull distribution with variable shapes for the hazard rate (2018, neutral): “[6] 3 MOLFR α 2 γ 1 δ New 4 MOW 0 β γ − δ – 5 MOR 0 2 γ − δ – 6 MOE α − 0 1 δ – 7 MW α β γ 1 1 Sarhan and Zaindin [25] 8 LFR α 2 γ 1 1 – 9 W 0 β γ − 1 Weibull [26] 10 R 0 2 γ − 1 Rayleigh [23] 11 E α − 0 1 1 – Abbreviations: A = Additive, M = Modified, W = Weibull, E = Exponential, MO = Marshall-Olk”
The Kumaraswamy Burr XII distribution: theory and practice (2013, methodology): “Many models were proposed in the literature to extend the Weibull distribution such as the exponentiated Weibull [10,11], additive Weibull [12], extended Weibull [13], modified Weibull [14], beta exponential [15], beta Weibull (BW) [16], extended flexible Weibull [17], generalized modified Weibull [”
A new alpha power transformed family of distributions: properties and applications to the Weibull model (2018, neutral): “[16] G (x) = 1 − e e , x,α, θ,γ > 0; 3.”
A generalized modified Weibull distribution for lifetime modeling (2008, positive): “We introduce a four parameter lifetime distribution called ''a generalized modified Weibull (GMW) distribution'' which is a simple extension of the modified Weibull distribution (Lai et al., 2003).”
The Kumaraswamy modified Weibull distribution: theory and applications (2014, methodology): “Among these models, we point out the exponentiated Weibull (EW) [5,6], additive Weibull [7], extended Weibull [8], modified Weibull (MW) [9], extended flexible Weibull [10] and beta MW [11] distributions.”