HALF CAUCHY GENERALIZED RAYLEIGH DISTRIBUTION: THEORY AND APPLICATION
South East Asian J. of Mathematics and Mathematical Sciences, 2023 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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STATISTICAL INFERENCE FOR GEOMETRIC PROCESS WITH THE GENERALIZED RAYLEIGH DISTRIBUTION [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 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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Some Methods to Estimate the Parameters of Generalized Exponential Rayleigh Model by Simulation
Iraqi Journal for Computer Science and Mathematics, 2023 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
Austrian Journal of Statistics, 2022 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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A New Generalization of the Generalized Inverse Rayleigh Distribution with Applications [PDF]
Symmetry, 2021 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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Modified Generalized Rayleigh Distribution: Model and Properties
Pravaha, 2022 This article is based on formulation of a new three parameters continuous distribution. Some important properties are discussed here. Different methods of estimation are used for parameter estimation. Validity of the model is tested using different information criteria as well as some graphical plots.
null Lal Babu Sah Telee +1 more
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Scattering statistics of rock outcrops: Model-data comparisons and Bayesian inference using mixture distributions [PDF]
, 2019 The probability density function of the acoustic field amplitude scattered by the seafloor was measured in a rocky environment off the coast of Norway using a synthetic aperture sonar system, and is reported here in terms of the probability of false ...
Anthony P. Lyons +16 more
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Bayesian Generalized Self Method to Estimate Scale Parameter of Invers Rayleigh Distribution
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 The purposes of this study are to estimate the scale parameter of Invers Rayleigh distribution under MLE and Bayesian Generalized square error loss function (SELF).
Ferra Yanuar +2 more
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Modified generalized linear failure rate distribution: Properties and reliability analysis [PDF]
, 2014 This paper introduces a new comprehensive four-parameter distribution called the modified generalized linear failure rate (MGLFR) distribution. The method generalizes some well-known and most commonly used distributions in reliability such as exponential,
Ezzatallah Baloui Jamkhaneh
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Properties and Inference for a New Class of Generalized Rayleigh Distributions with an Application
Open Mathematics, 2019 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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