Generalized Rayleigh distribution: different methods of estimations

By Debasis Kundu, Mohammad Z. Raqab. Computational Statistics & Data Analysis, 2005

407 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/92bb88ee442630f44359eeef4494ce53f58ddbfb

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Citations in the corpus

Comparison of estimation methods for the Weibull distribution (2013, methodology): “Comprehensive comparisons of estimation methods for other less prominent distributions have been performed in the literature: see Kundu and Raqab 35 for generalized Rayleigh distributions and Alkasasbeh and Raqab 36 for generalized logistic distributions.”
Time truncated acceptance sampling plans for generalized exponential distribution (2010, background): “For example the generalized Rayleigh (scaled Burr Type X) distribution, introduced by Surles and Padgett [16], see also Kundu and Raqab [13], can be easily converted to generalized exponential distribution.”
The Kumaraswamy modified Weibull distribution: theory and applications (2014, background): “Another important characteristic of this model is that it contains, as special sub-models, the Weibull, exponentiated exponential (EE) [17,18], EW [5,6], generalized Rayleigh (GR) [19], MW [9], Kumaraswamy Weibull (Kw-W), Kumaraswamy exponential (KwE), among several other distributions.”
Likelihood estimation for a general class of inverse exponentiated distributions based on complete and progressively censored data (2014, background): “This family of distributions includes the exponentiated exponential distribution 3 4 , exponentiated Rayleigh distribution 5 6 , and exponentiated Pareto distribution 7 .”
Transmuted Generalized Rayleigh Distribution (2014, unknown): “(6) Especially we have E(X) = αβ−1 √ π ∞ ∑ j=0 (−1) j( j+1)− 3 2 j! [ (1+λ )Γ (α) 2Γ (α − j) − λΓ (2α) Γ (2α − j) ]”
Statistical properties and different methods of estimation of Gompertz distribution with application (2018, methodology): “Different estimation methods were compared for generalized Rayleigh distributions by Kundu and Raqab (2005); for generalized logistic distributions by Alkasasbeh and Raqab (2009); for the Weibull distribution by Teimouri et al. (2013) and Dey et al. (2014, 2015, 2016, 2017a, 2017b, 2017c, 2017d,…”
The Kumaraswamy generalized gamma distribution with application in survival analysis (2011, background): “If τ = 2 in addition to k = ϕ = 1 , the special case becomes the generalized Rayleigh ( GR ) distribution ( Kundu and Raqab , 2005 ) .”
Weighted exponential distribution: properties and different methods of estimation (2015, methodology): “Gupta and Kundu [15] and Kundu and Raqab [3] used the percentile-based estimators and compared with the other estimators for generalized exponential distribution and generalized Rayleigh distribution, respectively.”
Parameter estimation of generalized Rayleigh distribution based on ranked set sample (2018, methodology): “Estimation of parameters in SRS This section presents the ML equations of GR(α, λ) given by Kundu and Raqab [5] when both parameters are unknown.”
A generalized modified Weibull distribution for lifetime modeling (2008, unknown): “Further, if γ = 2 in addition to λ = 0, Kundu and Rakab (2005) observed that the moments of the generalized Rayleigh distribution cannot be expressed in a nice form but they showed that E(T 2 ) = α −2 {ψ(β + 1) − ψ(1)} and Var(T 2 ) = α −4 {ψ (1) − ψ (β + 1)}.”
Estimation of Reliability in Multicomponent Stress-strength Based on Generalized Exponential Distribution (2014, unknown): “The GRD has been studied extensively by Kundu and Raqab (2005) and Raqab and Kundu (2005).”