Prof Andriëtte Bekker

Tel: 012 420 2523

Email: [email protected]

Position: Professor and Head of Department

Focus Area Coordinator: Statistical Theory and Applied Statistics (see link), Centre of Excellence in Mathematical and Statistical Sciences, University of the Witwatersrand

Current NRF Rating: C1

Academic qualifications: BSc, BSc Hons, HDE, MSc (UJ), PhD (UNISA)

Research interests:

statistical distribution theory, Bayesian statistics and theory, matrix variate distributions, multivariate analysis

Current subjects to be lectured:

MVA 710, MVA 720 (multivariate analysis)

Current postgraduate students:

PhD: S Makgai, P Nagar, V Bilankulu, C Geldenhuys

Various masters and honours students currently under my supervision

Previous postgraduate students:

PhD (past 8 years): R Ehlers, K Adamski, J Kleyn, J van Niekerk, MT Loots, JT Ferreira

Various masters and honours students successfully completed

Awards and scientific/scholarly recognition:

Elected member of the International Statistical Institute (ISI)

2001-2006: NRF L rating

From 2007: NRF C2 rating.

From 2019: NRF C1 rating

ASSOCIATE EDITOR for Communications in Statistics-Theory and Methods (LSTA)/Simulation and Computation (LSSP).

Guest editor for the STATISTICS, OPTIMIZATION AND INFORMATION COMPUTING journal for the Special Issue on Computational Techniques in Theoretical and Applied Statistics, Vol. 6, September 2018.

Guest editor for MATHEMATICAL PROBLEMS IN ENGINEERING Special Issue on Recent Trends in Statistical Methodologies within Communications and Systems Engineering, Submissions deadline 4 October 2019.

Editor of forthcoming Springer Book “Computational and Methodological Statistics and Biostatistics: Contemporary Essays in Advancement”, to be published in 2020.

Recent publications (past 8 years):

BEKKER, A.  ROUX, J.J.J. & EHLERS, R. & ARASHI, M. (2011). The bimatrix variate beta type IV distribution: relation to Wilks’s statistic and bimatrix variate Kummer-beta type IV distribution. Communications in Statistics-Theory and Methods, 40, (23), 4165-4178.

BEKKER, A.  ROUX, J.J.J. & ARASHI, M. (2011). Exact nonnull distribution of Wilks’s Statistic: ratio and product of independent components.  Journal of Multivariate Analysis, 102, 619-628. (http://dx.doi.org/10.1016/j.jmva.2010.11.005)

BODVIN, L., BEKKER, A. & ROUX, J.J.J. (2011). Shannon Entropy as a Measure of Certainty in a Bayesian Calibration Framework with Bivariate Beta Priors. South African Statistical Journal, 45(2), 171-204.

BEKKER, A.  ROUX, J.J.J. & ARASHI, M. (2011). Wishart ratios with dependent structure: new members of the bimatrix beta type IV. Linear Algebra and its Applications, 435, 3243–3260.

JACOBS, R., BEKKER, A. & HUMAN, S.W., (2011) ‘n Nuwe ontwikkeling tot die bivariate betaveld, Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 30(1), Art.#103, 2 pages. doi: http://dx.doi.org/10.4102/satnt.v30i1.103.

ADAMKSI, K. HUMAN, S.H. & BEKKER, A. (2012). A generalized multivariate beta distribution: control charting when the measurements are from an exponential distribution. Statistical Papers, Volume 53, Issue 4 , 1045-1064. 

JACOBS, R., BEKKER, A.  & HUMAN, S.W. (2012). On the bivariate Kummer-beta type IV distribution. Communications in Statistics-Theory and Methods, 41, 3339-3354.

EHLERS, R., BEKKER, A. & ROUX, J.J.J. (2012). Triply noncentral bivariate beta type V distribution. South African Statist. J. 46, 221–246.

BEKKER, A.  ROUX, J.J.J., EHLERS, R. & ARASHI, M. (2012). Distribution of the product of determinants of noncentral bimatrix beta variates. Journal of Multivariate Analysis, 109, 73-87. http://dx.doi.org/10.1016/j.jmva.2012.02.016

VAN NIEKERK, J. & BEKKER, A. (2012). Bayesian estimators of the location parameter of the normal distribution with unknown variance. Peer-reviewed Proceedings of SASA 2012, p 10-17.

ADAMSKI, K., HUMAN, S.W. A BEKKER, A. & ROUX, J.J.J. (2013). Noncentral generalized multivariate beta type II distribution. RevStat-Statistical Journal, 11, 1, p 17-43.

VAN DEN BERG, J., ROUX, J.J.J. & BEKKER, A.  (2013). On a generalisation of Jensen's bivariate gamma distribution. Communications in Statistics-Theory and Methods. 42(9), 3514–3527.

LOOTS, M.T., BEKKER, A. ARASHI, M. & ROUX, J.J.J. (2013). On the real representation of quaternion variables. Statistics, 47(6), 1224-1240.

NAKALE, S., COETSEE,J., ARASHI, M. & BEKKER,A. (2013). Feasible generalised least squares estimators in serially correlated error models from an asymmetry viewpoint. Peer-reviewed Proceedings of SASA 2013, 53-60.

FERREIRA, J.T. & BEKKER, A. (2014). Objektiewe beramers vir die gesensoreerde Rayleigh-model onder verskillende verliesfunksie. Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 33(1), Art. #1040, 2 pages. http://dx.doi.org/10.4102/satnt.v33i1.1040

COETSEE, J., BEKKER, A.  & MILLARD, S. (2014). Preliminary-test and Bayes Estimation of a Location Parameter Under Blinex Loss.  Communications in Statistics-Theory and Methods, 43, 3641-3660.

ARASHI, M. BEKKER, A., ROUX, J.J.J. & RATNAPARKHI, M. (2014). A New Definition of Form-Invariance Matrix Variate Distributions. South African Statist. J., 48, 205 – 212.

ARASHI, M., BEKKER, A.  & LOOTS, M.T. & ROUX, J.J.J. (2015). Integral representation of quaternion elliptical density and its applications. Communications in Statistics-Theory and Methods, 44,4,778-789. DOI:10.1080/03610926.2012.753089

NAKALE, S., KLEYN, J., ARASHI, M. & BEKKER, A. (2015). The performance of serial correlation preliminary test estimators under asymmetry loss functions. South African Statistical Journal, 49, 121-138.

VAN NIEKERK, J., BEKKER, A., ARASHI, M. & ROUX, J.J.J. (2015) Subjective Bayesian analysis on elliptical contoured model. Communications in Statistics-Theory and Methods, 44(17), 3738-3753.

JACOBS, R., BEKKER, A., VAN DER VOET, H & TER BRAAK, C. (2015). Parametric estimation of P(X > Y) for normal distributions in the context of probabilistic environmental risk assessment. PeerJ 3:e1164; DOI 10.7717/peerj.1164.

FERREIRA, J. BEKKER, A. & ARASHI, M. (2016). Objective Bayesian estimators for the right censored Rayleigh distribution: evaluating the Al-Bayatti loss function. RevStat-Statistical Journal, 14(4) 433-454.

FERREIRA, J. BEKKER, A & ARASHI, M. (2016). Bivariate noncentral distributions: an approach via the compounding method. South African Statistical Journal, 50(1), 103-122.

VAN NIEKERK, J., BEKKER, A., ARASHI, M. & DE WAAL, D.J. (2016). Matrix variate elliptical model- subjective Bayesian inference. South African Statistical Journal, 50(1) 149-170.

MOSTERT P.J., BEKKER A. & ROUX J.J.J. (2016). A Bayesian analysis of the censored Rayleigh model when using a generalised hypergeometric as a prior. South African Statistical Journal, 50(2), 195-219.

MAKGAI, S., BEKKER, A., FERREIRA, J.T. & ARASHI, M. (2017). New results from a beta-Pareto class. South African Statistical Journal, 51, 345-360.

VAN NIEKERK, J., BEKKER, A & ARASHI, M. (2017). A gamma-mixture class of distributions with Bayesian application. Communications in Statistics- Simulation and Computation,  (46) 10, 8152-8165, http://dx.doi.org/10.1080/03610918.2016.1267754

BEKKER, A., VAN NIEKERK, J & ARASHI, M. (2017). Wishart distributions: Advances in theory with Bayesian application. Journal of Multivariate Analysis. 155,  272–283  http://dx.doi.org/10.1016/j.jmva.2016.12.002

KLEYN, J., ARASHI, M., BEKKER, A. & MILLARD, S. (2017). Preliminary Testing of the Cobb-Douglas Production Function and Related Inferential Issues Communications in Statistics- Simulation and Computation. 46(1) 469-488. http://dx.doi.org/10.1080/03610918.2014.968724.

ARASHI, M., BEKKER, A. & VAN NIEKERK, J. (2017). The weighted-type Wishart distributions with application. RevStat-Statistical Journal, 15(1), 205-222.

FERREIRA, J. BEKKER, A &  ARASHI, M. Advances in Wishart-type modelling of channel capacity Accepted in 2017 to appear in RevStat-Statistical Journal.

BEKKER, A. and FERREIRA, J.T. 2018. Bivariate gamma type distributions for modeling wireless performance metrics. Statistics, Optimization and Information Computing, 6, 335–353.

BEKKER, A., M. ARASHI, M, & FERREIRA, J.T. (2019). New bivariate gamma types with MIMO application. Communications in Statistics-Theory and Methods, 48:3, 596-615.

MARQUES, F, LOOTS, M.T. & BEKKER, A. (2019). Series representations for density functions of a family of distributions - application to the sum of independent Rayleigh random variables. Math Meth Appl Sci. 2019; 1–18.

ARASHI, M. BEKKER, A. & VAN NIEKERK, J. (2019). Weighted Distributions of Eigenvalues. Linear Algebra and its Applications, 561,1-17.

BEKKER, A, ARASHI, A. & FERREIRA, J.T. ROWLAND, B, (2018). Computational methods applied to a skewed generalised normal family. Communications in Statistics - Simulation and Computation. https://doi.org/10.1080/03610918.2018.1530785

VAN NIEKERK, J, BEKKER, A. &  ARASHI, M. (2018). Beta regression in the Presence of Outliers- A wieldy Bayesian solution. Accepted in Statistical Methods in Medical Research. DOI: 10.1177/0962280218814574

BILANKULU, V., BEKKER, A. & MARQUES, F.J. (2018). The Ratio of Independent Generalized Gamma Random Variables with Applications. Accepted to Computational and Mathematical Methods.

FERREIRA, J.T. and BEKKER, A. (2019). A unified complex noncentral Wishart type distribution inspired by massive MIMO systems. Accepted- Journal of Statistical Distributions and Applications.

Published by Johan Ferreira

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