Search Results - "Bekker, Andriette"
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Enhancing wind direction prediction of South Africa wind energy hotspots with Bayesian mixture modeling
Published in Scientific reports (06-07-2022)“…Wind energy production depends not only on wind speed but also on wind direction. Thus, predicting and estimating the wind direction for sites accurately will…”
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A theoretical framework for Landsat data modeling based on the matrix variate mean-mixture of normal model
Published in PloS one (09-04-2020)“…This paper introduces a new family of matrix variate distributions based on the mean-mixture of normal (MMN) models. The properties of the new matrix variate…”
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A dependent circular-linear model for multivariate biomechanical data: Ilizarov ring fixator study
Published in Statistical methods in medical research (01-09-2024)“…Biomechanical and orthopaedic studies frequently encounter complex datasets that encompass both circular and linear variables. In most cases (i) the circular…”
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A Semi-parametric Density Estimation with Application in Clustering
Published in Journal of classification (01-04-2023)“…The idea behind density-based clustering is to associate groups to the connected components of the level sets of the density of the data to be estimated by a…”
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Beta regression in the presence of outliers – A wieldy Bayesian solution
Published in Statistical methods in medical research (01-12-2019)“…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…”
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Uncovering a generalised gamma distribution: From shape to interpretation
Published in Results in applied mathematics (01-05-2024)“…In this paper, we introduce the flexible interpretable gamma (FIG) distribution, with origins in Weibulisation, power weighting, and a stochastic…”
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Evaluating prediction of COVID-19 at provincial level of South Africa: a statistical perspective
Published in Environmental science and pollution research international (01-03-2022)“…What is the impact of COVID-19 on South Africa? This paper envisages to assist researchers in battling of the COVID-19 pandemic focusing on South Africa. This…”
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Skew Generalized Normal Innovations for the AR(p) Process Endorsing Asymmetry
Published in Symmetry (Basel) (01-08-2020)“…The assumption of symmetry is often incorrect in real-life statistical modeling due to asymmetric behavior in the data. This implies a departure from the…”
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Flexible Factor Model for Handling Missing Data in Supervised Learning
Published in Communications in mathematics and statistics (01-06-2023)“…This paper presents an extension of the factor analysis model based on the normal mean–variance mixture of the Birnbaum–Saunders in the presence of…”
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Wishart distributions: Advances in theory with Bayesian application
Published in Journal of multivariate analysis (01-03-2017)“…In this paper, we generalize the Wishart distribution utilizing a fresh approach that leads to the hypergeometric Wishart generator distribution with the…”
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High-Dimensional Precision Matrix Estimation through GSOS with Application in the Foreign Exchange Market
Published in Mathematics (Basel) (01-11-2022)“…This article studies the estimation of the precision matrix of a high-dimensional Gaussian network. We investigate the graphical selector operator with…”
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Series representations for densities functions of a family of distributions—Application to sums of independent random variables
Published in Mathematical methods in the applied sciences (30-11-2019)“…Series representations for several density functions are obtained as mixtures of generalized gamma distributions with discrete mass probability weights, by…”
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Tsallis and Other Generalised Entropy Forms Subject to Dirichlet Mixture Priors
Published in Symmetry (Basel) (01-06-2022)“…Entropy indicates a measure of information contained in a complex system, and its estimation continues to receive ongoing focus in the case of multivariate…”
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A gamma-mixture class of distributions with Bayesian application
Published in Communications in statistics. Simulation and computation (26-11-2017)“…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…”
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15
Mastering the Body and Tail Shape of a Distribution
Published in Mathematics (Basel) (01-11-2021)“…The normal distribution and its perturbation have left an immense mark on the statistical literature. Several generalized forms exist to model different…”
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Alternative Dirichlet Priors for Estimating Entropy via a Power Sum Functional
Published in Mathematics (Basel) (01-07-2021)“…Entropy is a functional of probability and is a measurement of information contained in a system; however, the practical problem of estimating entropy in…”
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17
A Bivariate Beta from Gamma Ratios for Determining a Potential Variance Change Point: Inspired from a Process Control Scenario
Published in Mathematical and computational applications (01-08-2022)“…Within statistical process control (SPC), normality is often assumed as the underlying probabilistic generator where the process variance is assumed equal for…”
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Compositional Data Modeling through Dirichlet Innovations
Published in Mathematics (Basel) (01-10-2021)“…The Dirichlet distribution is a well-known candidate in modeling compositional data sets. However, in the presence of outliers, the Dirichlet distribution…”
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Coming Together of Bayesian Inference and Skew Spherical Data
Published in Frontiers in big data (08-02-2022)“…This paper presents Bayesian directional data modeling via the skew-rotationally-symmetric Fisher-von Mises-Langevin (FvML) distribution. The prior…”
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Capturing a Change in the Covariance Structure of a Multivariate Process
Published in Symmetry (Basel) (01-01-2022)“…This research is inspired from monitoring the process covariance structure of q attributes where samples are independent, having been collected from a…”
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