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Browsing Research Articles (Statistics) by UP Author "Bekker, Andriette, 1958-"
Now showing items 1-20 of 49
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Ferreira, Johannes Theodorus; Bekker, Andriette, 1958-; Arashi, Mohammad (National Statistical Institute of Portugal, 2020-07)This paper paves the way when the assumption of normality is challenged within the wireless communications systems arena. Innovative results pertaining to the distributions of quadratic forms and their associated eigenvalue ...
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Mostert, P.J.; Bekker, Andriette, 1958-; Roux, Jacobus J.J. (South African Statistical Association, 2016)Based on a type II censored sample, Bayesian estimation for the scale parameter of the Rayleigh model is carried out under the assumption of the squared error loss function. A generalised hypergeometric distribution with ...
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Van Niekerk, Janet; Bekker, Andriette, 1958- (South African Statistical Association, 2012-11)The estimation of a location parameter of the normal distribution has been widely discussed and applied in various situations. The Bayes estimators under Linear Exponential (LINEX) loss are functions of the moment ...
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Van Niekerk, Janet; Bekker, Andriette, 1958- (South African Statistical Journal, 2012-11)Please read abstract in article.
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Van Niekerk, Janet; Bekker, Andriette, 1958-; Arashi, Mohammad (Sage, 2019-12)Real phenomena often leads to challenges in data. One of these is outliers or influential values. Especially in a small sample, these values can have a major influence on the modeling process. In the beta regression ...
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Bekker, Andriette, 1958-; Roux, Jacobus J.J.; Ehlers, Rene; Arashi, Mohammad (Routledge, 2011-11)In this article, the bimatrix variate beta Type IV distribution is derived from independent Wishart distributed matrix variables. We explore specific properties of this distribution which is then used to derive the exact ...
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Van den Berg, J.; Roux, Jacobus J.J.; Bekker, Andriette, 1958- (Routledge, 2013)In this article, a bivariate generalisation of the gamma distribution is proposed by using an unsymmetrical bivariate characteristic function; an extension to the non central case also receives attention. The probability ...
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Ferreira, Johannes Theodorus; Bekker, Andriette, 1958-; Arashi, Mohammad (South African Statistical Association, 2016)This paper enriches the existing literature of bivariate noncentral distributions by proposing bivariate noncentral generalised chi-square and F distributions via the employment of the compounding method with Poisson ...
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Bekker, Andriette, 1958-; Ferreira, Johannes Theodorus; Arashi, Mohammad; Rowland, B.W. (Taylor and Francis, 2020)Some characteristics of the normal distribution may not be ideal to model in many applications. We develop a skew generalized normal (SGN) distribution by applying a skewing method to a generalized normal distribution, and ...
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Pauw, J.; Bekker, Andriette, 1958-; Roux, Jacobus J.J. (South African Statistical Association, 2010)The Weibullized generalized gamma distribution, which is a very exible distribution due to it richness in parameter structure, is derived by introducing the Weibullizing constant to the generalized gamma distribution. In ...
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Bekker, Andriette, 1958-; Roux, Jacobus J.J.; Ehlers, Rene; Arashi, Mohammad (Elsevier, 2012-03)The product moments of existing and new noncentral bimatrix variate beta distributions with bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained by using the Mellin ...
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Ferreira, Johannes Theodorus; Bekker, Andriette, 1958-; Marques, F.; Laidlaw, M. (Hindawi Publishing, 2020-04-25)This paper introduces an enriched α − μ distribution which may act as fading model with its origins via the scale mixture construction. The distribution’s characteristics are visited and its feasibility as a fading candidate ...
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Van Niekerk, Janet; Bekker, Andriette, 1958-; Arashi, Mohammad; De Waal, Duan J.31cca2cb-0f0b-4ea7-a9c1-9711569804a7 (South African Statistical Association, 2016)The problem of estimation within the matrix variate elliptical model is addressed. In this paper a subjective Bayesian approach is followed to derive new estimators for the parameters of the matrix variate elliptical ...
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Bekker, Andriette, 1958-; Roux, Jacobus J.J.; Arashi, Mohammad (Elsevier, 2011-03)The study of the noncentral matrix variate beta type distributions has been sidelined because the final expressions for the densities depend on an integral that has not been resolved in an explicit way. We derive an exact ...
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Nakale, S.; Coetsee, Judy; Arashi, Mohammad; Bekker, Andriette, 1958- (South African Statistical Association, 2013-11)In this paper we investigate the finite sample risk performance of feasible generalised least squares estimators applied in models with serially correlated error terms. The risk functions of the ordinary least squares, ...
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Hashemi, Farzane; Naderi, Mehrdad; Jamalizadeh, Ahad; Bekker, Andriette, 1958- (Elsevier, 2021-05)Factor analysis is a statistical technique for data reduction and structure detection that traditionally relies on the normality assumption for factors. However, due to the presence of non-normal features such as asymmetry ...
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Van Niekerk, Janet; Bekker, Andriette, 1958-; Arashi, Mohammad (Taylor and Francis, 2017-05)In this article, a subjective Bayesian approach is followed to derive estimators for the parameters of the normal model by assuming a gamma-mixture class of prior distributions, which includes the gamma and the noncentral ...
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Adamski, Karien; Human, Schalk William; Bekker, Andriette, 1958- (Springer, 2012)In Statistical Process Control (SPC) there exists a need to model the runlength distribution of a Q-chart that monitors the process mean when measurements are from an exponential distribution with an unknown parameter. ...
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Kheyri, Azam; Bekker, Andriette, 1958-; Arashi, Mohammad (MDPI, 2022-11-12)This article studies the estimation of the precision matrix of a high-dimensional Gaussian network. We investigate the graphical selector operator with shrinkage, GSOS for short, to maximize a penalized likelihood function ...
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Arashi, Mohammad; Bekker, Andriette, 1958-; Loots, Mattheus Theodor; Roux, Jacobus J.J. (Routledge, 2015-04)In this paper, an integral representation for the density of a matrix variate quaternion elliptical distribution is proposed. To this end, a weight func- tion is used, based on the inverse Laplace transform of a function ...
Now showing items 1-20 of 49