Browsing Research Articles (Statistics) by UP Author "Van Niekerk, Janet"

Browsing Research Articles (Statistics) by UP Author "Van Niekerk, Janet"

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  • Bayes-beramers vir die gemiddelde van die normaalverdeling met onbekende variansie onder die LINEKS-verliesfunksie 
    Van Niekerk, Janet (AOSIS Open Journals, 2014)
    Bayes analysis of the normal model has been thoroughly investigated by numerous statisticians and reported in the literature. The explicit form of the Bayes estimators under LINEX loss will be derived, which has not been ...
  • Bayesian estimators of the location parameter of the normal distribution with unknown variance 
    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 ...
  • Bayesian estimators of the location parameter of the normal distribution with unknown variance 
    Van Niekerk, Janet; Bekker, Andriette, 1958- (South African Statistical Journal, 2012-11)
    Please read abstract in article.
  • Beta regression in the presence of outliers – a wieldy Bayesian solution 
    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 ...
  • A double generally weighted moving average exceedance control chart 
    Masoumi Karakani, Hossein; Human, Schalk William; Van Niekerk, Janet (Wiley, 2019-02)
    Since the inception of control charts by W. A. Shewhart in the 1920s, they have been increasingly applied in various fields. The recent literature witnessed the development of a number of nonparametric (distribution‐free) ...
  • Estimation under the matrix variate elliptical model 
    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 ...
  • A gamma-mixture class of distributions with Bayesian application 
    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 ...
  • Subjective Bayesian analysis of the elliptical model 
    Van Niekerk, Janet; Bekker, Andriette, 1958-; Arashi, Mohammad; Roux, Jacobus J.J. (Taylor and Francis, 2015-09)
    For the multivariate elliptical model subjective Bayesian estimators of the location vector and some functions of the characteristic matrix with the normal-inverse Wishart and the normal-Wishart as prior, respectively, are ...
  • Weighted distributions of eigenvalues 
    Arashi, Mohammad; Bekker, Andriette, 1958-; Van Niekerk, Janet (Elsevier, 2019-01)
    In this article, the weighted version of a probability density function is considered as a mapping of the original distribution. Generally, the properties of the distribution of a random matrix and the distributions of its ...
  • Weighted-type Wishart distributions with application 
    Arashi, Mohammad; Bekker, Andriette, 1958-; Van Niekerk, Janet (National Statistical Institute of Portugal, 2017)
    In this paper, we consider a general framework for constructing new valid densities regarding a random matrix variate. However, we focus speci cally on the Wishart distribution. The methodology involves coupling the ...
  • Wishart distributions : advances in theory with Bayesian application 
    Bekker, Andriette, 1958-; Van Niekerk, Janet; Arashi, Mohammad (Elsevier, 2017-03)
    In this paper, we generalize the Wishart distribution utilizing a fresh approach that leads to the hypergeometric Wishart generator distribution with the Wishart generator and the Wishart as special cases. Important ...