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Transmuted Generalized Rayleigh Distribution

Journal of Statistics Applications & Probability, 2014
In this article, we generalize the generalized Rayleigh distribution using the qu adratic rank transmutation map studied by Shaw et al. (9) to develop a transmuted generalized Rayleigh distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behav ior.
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Half Logistic Generalized Rayleigh Distribution for Modeling Hydrological Data

Annals of Data Science
Adebisi A. Ogunde   +2 more
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Modelling SAR images with a generalisation of the Rayleigh distribution

Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers (Cat. No.00CH37154), 2002
Synthetic aperture radar (SAR) imagery has found important applications due to its clear advantages over optical satellite imagery one of them being able to operate in various weather conditions. However, due to the physics of the radar imaging process, SAR images contain unwanted artifacts in the form of a granular look which is called speckle.
Kuruoglu EE, Zerubia J
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Generation of non-Rayleigh speckle distributions using marked regularity models

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1999
Fully developed speckle patterns observed in coherent imagery are characterized by a Rayleigh-distributed envelope amplitude. Non-Rayleigh distributions are observed in many cases, such as when the number of scatterers in a resolution cell is small or scatterers are organized with some periodicity.
R M, Cramblitt, K J, Parker
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ON THE PROPERTIES OF GENERALIZED RAYLEIGH DISTRIBUTION WITH APPLICATIONS

2023
In this study, a new three-parameter lifetime distribution called the generalized Rayleigh distribution was introduced. The new model is an extension of classical Rayleigh distribution. An extension of density of the generalized Rayleigh distribution was derived from which some of the statistical and mathematical properties were derived.
Sule Omeiza Bashiru   +2 more
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Parameter Estimation of Generalized Rayleigh Distribution

Journal of Statistical Theory and Practice
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalized Gompertz-Rayleigh model as a survival distribution

Mathematical Biosciences, 1984
Abstract A generalized Gompertz-Rayleigh distribution is proposed as a potential survival distribution for the case of modeling dual components of risk acting on a population. The hazard function is expressed as the sum of two risks. The early risk component allows for either a high initial death rate that can decrease rapidly or an initial death ...
Dorothy H. Bradley   +2 more
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Discriminating between the generalized Rayleigh and Weibull distributions

Journal of Applied Statistics, 2013
Generalized Rayleigh (GR) and Weibull (WE) distributions are used quite effectively for analysing skewed lifetime data. In this paper, we consider the problem of selecting either GR or WE distribution as a more appropriate fitting model for a given data set.
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A new lifetime model: the Kumaraswamy generalized Rayleigh distribution

Journal of Statistical Computation and Simulation, 2012
The generalized Rayleigh (GR) distribution [V.G. Vodǎ, Inferential procedures on a generalized Rayleigh variate, I, Appl. Math. 21 (1976), pp. 395–412; V.G. Vodǎ, Inferential procedures on a generalized Rayleigh variate, II, Appl. Math. 21 (1976), pp.
Antonio E. Gomes   +3 more
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Generalization of Rayleigh Probability Distribution and its Application

Journal of Ship Research, 1978
The Rayleigh probability distribution has been used extensively for statistical prediction of ocean waves, responses of ships, and marine structures in a seaway. However, the Rayleigh distribution cannot be used for statistical prediction of non-Gaussian random processes, a typical example of which is ship rolling motion with nonlinear characteristics.
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