Publications

PEER-REVIEWED PUBLICATIONS

Mostert, P.J., Bekker, A. and Roux, J.J.J. (1998). Bayesian analysis of survival data using the Rayleigh model and linex loss. South African Statistical Journal. Volume 32(1), p. 19-42.

Mostert, P.J., Roux, J.J.J. and Bekker, A. (1999). Bayes estimators of the lifetime parameters using the compound Rayleigh model. South African Statistical Journal, Volume 33(2), p 117-138.

Bekker, A., Roux, J.J.J and Mostert, P.J. (2000). A generalization of the compound Rayleigh distribution: Using Bayesian methods on cancer survival times. Communications of Statistics – Theory and Methods, Volume 29(7), p1419-1433.

Mostert, P.J., Bekker, A. and Roux, J.J.J. (2001). A Bayesian method to analyse cancer survival times using the Weibull model. Proceedings of ISBA 2000 – Bayesian Methods with applications to Science, Policy and Official Statistics. Selected papers from ISBA 2000: The sixth world Meeting of the International Society for Bayesian Analysis, p371-380. (Refereed).

Yadavalli, V.S.S., Bekker A., Mostert, P.J. and Botha, M. (2001). Bayesian estimation of the stationary rate of disappointments for a model of a two-unit intermittently used system. Pakistan Journal of Statistics, Volume 17(2), p117-125.

Mostert, P.J., Bekker, A., Yadavalli, V.S.S. and Botha, M. (2001). The study of the posterior distribution of the stationary rate of disappointments for an intermittently used two-unit cold standby system. Proceedings of the Xth International Symposium on 'Applied Stochastic Models and Data Analysis', Volume 2, p767-772. (refereed).

Yadavalli, V.S.S., Bekker, A. Mostert, P.J. & Botha, M. (2001). Bayesian highest posterior density intervals for the availability of a system with 'rest-period' for the repair facility. South African Journal of Industrial Engineering, Volume 12(2), p17-24.

Yadavalli, V.S.S., Mostert, P.J., Bekker, A. and Botha, M. (2002). Computation of posterior distribution in Bayesian analysis: application in an intermittently used reliability system ("Berekening van 'n aposteriori-verdeling in Bayes-analise: Toepassing in 'n betroubaarheidstelsel wat afwisselend gebruik word"). Die Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, Volume 21(3), p. 78-82.

Getz, W.M., Gouws, E., Hahne, F.P.,Kopp, E., Mostert, P.J., Muller, C.J.B., Seioghe, C., Williams, B. & Witten, B. (2003). Mathematical models and the fight against diseases in Africa. South African Journal of Science, Volume 99 (7-8), p. 305-306.

Mostert, P.J., Bekker, A. & Yadavalli, V.S.S. (2004). A two-unit intermittently used cold standby system from a Bayesian viewpoint assuming a Dirichlet prior. Pakistan Journal of Statistics, Volume 20(2), p. 223-229.

Mostert, P.J., Bekker, A. & Roux, J.J.J. (2007). Shrinkage estimation of the lifetime parameters in the Rayleigh model using an empirical Bayesian approach. International Journal of Statistics and Management Systems. Volume 1(1-2), p. 143-159.

De Villiers, M., Bezuidenhoud, D., & Mostert, P.J. (2015). Influence of right-censoring on some kernel-smoothed hazard rates. Proceedings of the 57th Annual Conference of the South African Statistical Association for 2015 (refereed), p. 25-32.

Mostert, P.J., Bekker, A. & Roux, J.J.J. (2016). A Bayesian analysis for censored Rayleigh model using a generalized hypergeometric prior. South African Statistical Journal, Volume 50(2), p 195-219.

Mostert, P.J. (2024). Bayesian analysis of the availability of systems in the presence of common cause and human error subject to variant hardware repair models. Proceedings of International Symposium on Business and Industrial Statistics (ISBIS) 2024 (refereed), Jogjakarta, Indonesia.

Lesaffre, E. and Mostert, P.J. (2024), Priors in International Encyclopedia of Statistical Science (IESS) 2nd edition, Springer, Berlin.

Mostert, P.J. & Bekker, A. (2025). Availability analysis of availability under two-stage hardware failure models in the presence of common cause and human error: Bayesian approach. (submitted: South African Journal of Industrial Engineering)

RESEARCH REPORTS

Bekker, A., Roux, J.J.J. and Mostert, P.J. (1993). Bayesian estimation for the scale parameter of the Rayleigh distribution with censoring. Research report 93/5, Department of Statistics, University of South Africa.

Mostert, P.J., Bekker, A. and Roux, J.J.J. (1994). A comparative study of empirical Bayesian shrinkage estimation of the scale parameter of the censored Rayleigh distribution. Research report 94/2, Department of Statistics, University of South Africa.

Roux, J.J.J., Mostert, P.J. and Bekker, A. (1994). A Bayes analysis of the censored Rayleigh model when using a generalized hypergeometric as a prior. Research report 94/3, Department of Statistics, University of South Africa.

Bekker, A., Roux, J.J.J. and Mostert, P.J. (1995). Bayesian reliability analysis for a two-parameter Rayleigh distribution using an asymmetric linex loss function. Research report 95/4, Department of Statistics, University of South Africa.

Mostert, P.J., Bekker, A., and Roux, J.J.J. (1997). Bayesian estimation of some lifetime distribution identities of the Rayleigh model using linex loss function. Research report 97/1, Department of Statistics, University of South Africa.

Mostert, P.J., Bekker, A., and Roux, J.J.J. (1998). A Bayesian method to analyse cancer lifetimes using the Weibull model. Research report 98/3, Department of Statistics, University of South Africa.

Mostert, P.J., Roux, J.J.J. and Bekker, A. (1999). Bayes estimators of the lifetime parameters using the compound Rayleigh model. Research report 99/3, Department of Statistics, University of South Africa.

Yadavalli, V.S.S., Bekker A., Mostert, P.J. and Botha, M. (2000). Bayesian estimation of the stationary rate of disappointments for a model of a two-unit intermittently used system. Research report 00/4, Department of Statistics, University of South Africa.

Mostert, P.J., Bekker, Yadavalli, V.S.S. and Botha, M. (2000). Bayes estimation of stationary rate of disappointments for two models of an intermittently used system. Research report 00/7, Department of Statistics, University of South Africa.

OTHER PUBLICATIONS

Mostert, P.J. (1996). Analysis of variance. Centre for Statistics. HSRC, Pretoria.

Mostert, P.J. (1996). Multivariate statistical analysis II - Functional and Structural Techniques. Centre for Statistics. HSRC, Pretoria.