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Slashed generalized Rayleigh distribution
Communications in Statistics - Theory and Methods, 2016ABSTRACTWe introduce a new family of distributions suitable for fitting positive data sets with high kurtosis which is called the Slashed Generalized Rayleigh Distribution. This distribution arises as the quotient of two independent random variables, one being a generalized Rayleigh distribution in the numerator and the other a power of the uniform ...
Yuri A. Iriarte +3 more
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CHARACTERIZATIONS THROUGH THE GENERALIZED INVERTED RAYLEIGH DISTRIBUTION
Far East Journal of Theoretical Statistics, 2016Summary: In this article, the generalized inverted Rayleigh distribution (GIRD) is presented and some of the statistical properties of this distribution are obtained. First, we studied the shape of hazard function. Next, we derived the quantile function, median, mode, moments, harmonic mean, skewness and kurtosis.
Bakoban, R. A., Abubaker, M. I.
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Transmuted Generalized Rayleigh Distribution
Journal of Statistics Applications & Probability, 2014In 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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Generalized Rayleigh distribution: different methods of estimations
Computational Statistics & Data Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kundu, Debasis, Raqab, Mohammad Z.
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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), 2002Synthetic 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, 1999Fully 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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