Results 1 to 10 of about 8,513,926 (380)
Matrix‐variate beta distribution [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We propose matrix‐variate beta type III distribution. Several properties of this distribution including Laplace transform, marginal distribution and its relationship with matrix‐variate beta type I and type II distributions are also studied.
Arjun K. Gupta, Daya K. Nagar
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The Beta-Gompertz Distribution
Revista Colombiana de Estadística, 2014 In this paper, we introduce a new four-parameter generalized version of the Gompertz model which is called Beta-Gompertz (BG) distribution. It includes some well-known lifetime distributions such as beta-exponential and generalized Gompertz distributions
Alizadeh, Morad +2 more
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The Beta Generalized Exponential Distribution [PDF]
Journal of Statistical Computation and Simulation, 2008 We introduce the beta generalized exponential distribution that includes the beta exponential and generalized exponential distributions as special cases. We provide a comprehensive mathematical treatment of this distribution.
Alessandro H.S. Santos +6 more
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Inflated beta distributions [PDF]
Statistical Papers, 2008 This paper considers the issue of modeling fractional data observed in the interval [0,1), (0,1] or [0,1]. Mixed continuous-discrete distributions are proposed. The beta distribution is used to describe the continuous component of the model since its density can have quite diferent shapes depending on the values of the two parameters that index the ...
Silvia Ferrari, Raydonal Ospina
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Beta trigonometric distributions [PDF]
Portuguese Economic Journal, 2006 Beta distributions are popular models for economic data. In this paper, six new distributions are introduced which generalize the standard beta distribution. These distributions involve the trigonometric functions, sine and cosine. Expressions are derived for their analytical shapes, nth moments, method of moments estimators, maximum likelihood ...
Nadarajah, Saralees, Kotz, Samuel
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The beta Gumbel distribution [PDF]
Mathematical Problems in Engineering, 2004 The Gumbel distribution is perhaps the most widely applied statistical distribution for problems in engineering. In this paper, we introduce a generalization—referred to as the beta Gumbel distribution—generated from the logit of a beta random variable. We provide a comprehensive treatment of the mathematical properties of this new distribution.
Nadarajah, Saralees, Kotz, Samuel
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The beta power distribution [PDF]
Brazilian Journal of Probability and Statistics, 2012 The power distribution is defined as the inverse of the Pareto distribution. We study in full detail a distribution so-called the beta power distribution. We obtain analytical forms for its probability density and hazard rate functions. Explicit expressions are derived for the moments, probability weighted moments, moment generating function, mean ...
Moutinho Cordeiro, Gauss +1 more
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Convolution of beta prime distribution
Transactions of the American Mathematical Society, 2022 We establish some identities in law for the convolution of a beta prime distribution with itself, involving the square root of beta distributions. The proof of these identities relies on transformations on generalized hypergeometric series obtained via Appell series of the first kind and Thomae’s relationships for
Ferreira, Rui, Simon, Thomas
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Beta Bessel distributions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Three new distributions on the unit interval [0, 1] are introduced which generalize the standard beta distribution. These distributions involve the Bessel function. Expression is derived for their shapes, particular cases, and the nth moments. Estimation by the method of maximum likelihood and Bayes estimation are discussed.
Arjun K. Gupta, Saralees Nadarajah
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The Beta‐Half‐Cauchy Distribution [PDF]
Journal of Probability and Statistics, 2011 On the basis of the half‐Cauchy distribution, we propose the called beta‐half‐Cauchy distribution for modeling lifetime data. Various explicit expressions for its moments, generating and quantile functions, mean deviations, and density function of the order statistics and their moments are provided.
Gauss M. Cordeiro, Artur J. Lemonte
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