The Bivariate Generalized Rayleigh Distribution
This paper introduces a new bivariate distribution named the bivariate generalized Rayleigh distribution (BVGR). The proposed distribution is of type of Marshall-Olkin (MO) distribution.
Ammar Sarhan
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Topp-Leone generalized Rayleigh distribution and its applications [PDF]
A new three-parameter lifetime distribution called the Topp-Leone generalized Rayleigh (TLGR) distribution obtained by the Topp-Leone generator based on the generalized Rayleigh (GR) distribution is proposed.
Pimwarat Nanthaprut +2 more
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Properties and Inference for a New Class of Generalized Rayleigh Distributions with an Application [PDF]
In the present paper, we introduce a new form of generalized Rayleigh distribution called the Alpha Power generalized Rayleigh (APGR) distribution by following the idea of extension of the distribution families with the Alpha Power transformation.
Biçer Hayrinisa Demirci
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A New Generalization of the Generalized Inverse Rayleigh Distribution with Applications [PDF]
In this article, a new four-parameter lifetime model called the beta generalized inverse Rayleigh distribution (BGIRD) is defined and studied. Mixture representation of this model is derived. Curve’s behavior of probability density function, reliability function, and hazard function are studied.
Rana Ali Bakoban +1 more
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STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE GENERALIZED RAYLEIGH DISTRIBUTION [PDF]
In the present paper, statistical inference problem is considered for the geometric process (GP) by assuming the distribution of the first arrival time is generalized Rayleigh with the parameters $\alpha$ and $\lambda$. We use the maximum likelihood method for obtaining the ratio parameter of the GP and distributional parameters of the generalized ...
Biçer, Cenker +3 more
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Poisson generalized Rayleigh distribution with properties and application [PDF]
In this study, we have established a new three-parameter Poisson generalized Rayleigh distribution using the Poisson-Generating family of distribution. Some important mathematical and statistical properties of the proposed distribution including probability density function, cumulative distribution function, reliability function, hazard rate function ...
Ramesh Kumar Joshi, Vijay Kumar
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The Rayleigh Birnbaum Saunders Distribution: A General Fading Model [PDF]
A new compound non-symmetric distribution for modeling arbitrary fading-shadowing wireless channels is introduced and studied here. This distribution has some advantages in front of other well-known non-symmetric fading distributions such as the Rayleigh–lognormal distribution and the K distribution especially in the tails.
Emilio Gómez-Déniz, Luis Gómez 0001
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Some Methods to Estimate the Parameters of Generalized Exponential Rayleigh Model by Simulation
This paper shews how to estimate the parameter of generalized exponential Rayleigh (GER) distribution by three estimation methods. The first one is maximum likelihood estimator method the second one is moment employing estimation method (MEM), the third
Rehab Noori Shalan +1 more
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Cubic Transmuted Rayleigh Distribution: Theory and Application
In this paper, the Rayleigh distribution is generalized using the cubic transmuted (CT) family studied by Rahman et al. (in EJPAM, 12(3), 1106-1121, 2019) to propose a cubic transmuted Rayleigh distribution.
Md. Mahabubur Rahman
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HALF CAUCHY GENERALIZED RAYLEIGH DISTRIBUTION: THEORY AND APPLICATION
We develop a new three parameter distribution using the half-Cauchy family of distributions, called the half-Cauchy generalized Rayleigh distribution. Some statistical properties and characteristics of the proposed distribution are provided and obtained, including the explicit expressions for the survival function, median, hazard function, mode ...
Sapkota, Laxmi Prasad, Kumar, Vijay
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