Browsing Research Articles (Statistics) by Title

Browsing Research Articles (Statistics) by Title

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  • Nuwe ontwikkeling tot die bivariate betaveld 
    Jacobs, Rianne; Bekker, Andriette, 1958-; Human, Schalk William (Suid Afrikaanse Akademie vir Wetenskap & Kuns, 2011)
    In this paper, the bivariate Kummer-beta type IV distribution, which extends the Jones’ bivariate beta distribution, is discussed. The probability density functions of the product and ratio of the components of this ...
  • Objective Bayesian estimators for the right censored Rayleigh distribution : evaluating the Al-Bayyati loss function 
    Ferreira, Johannes Theodorus; Bekker, Andriette, 1958-; Arashi, Mohammad (National Statistical Institute of Portugal, 2016-10)
    The Rayleigh distribution, serving as a special case of the Weibull distribution, is known to have wide applications in survival analysis, reliability theory and commu- nication engineering. In this paper, Bayesian ...
  • Objektiewe beramers vir die gesensoreerde Rayleigh-model onder verskillende verliesfunksies 
    Ferreira, Johannes Theodorus; Bekker, Andriette, 1958- (AOSIS Open Journals, 2014)
    The censored Rayleigh model (with wide applications in notably survival analysis) is studied under extended loss functions, not previously considered, by deriving the Bayes estimators under these loss functions, and ...
  • On parameter estimation in multi-parameter distributions 
    Visagie, I.J.H. (Jaco) (International Academic Press, 2018-09)
    Many-multi parameter distributions have limit cases containing fewer parameters. This paper demonstrates that, when fitting distributions to data realized from a distribution resembling one of these limit cases, the ...
  • On the bivariate Kummer-beta type IV distribution 
    Jacobs, Rianne; Bekker, Andriette, 1958-; Human, Schalk William (Routledge, 2012)
    In this paper the non-central bivariate Kummer-beta type IV distribution is introduced and derived via the Laplace transform of the non-central bivariate beta distribution by Gupta et al. (2009). We focus on and discuss ...
  • On the discrepancy between the objective and risk neutral densities in the pricing of European options 
    Visagie, I.J.H. (Jaco); Grobler, G.L. (Operations Research Society of South Africa, 2019-06)
    A technique known as calibration is often used when a given option pricing model is fitted to observed financial data. This entails choosing the parameters of the model so as to minimise some discrepancy measure between ...
  • On the identifiability and statistical features of a new distributional approach with reliability applications 
    Alnssyan, Badr; Ahmad, Zubair; Malela-Majika, Jean-Claude; Seong, Jin-Taek; Shafik, Wasswa (American Institute of Physics, 2023-12-08)
    Probability distributions have prominent applications in different sectors. Among these sectors, probability models are mostly used to analyze datasets in engineering. Among the existing probability distributions, the ...
  • On the interchangeability of barrier option pricing models 
    Visagie, I.J.H. (Jaco) (South African Statistical Association, 2018)
    An important question when modelling option prices is which of the multitude of option pricing models to use. In this paper, the calculation of barrier option prices is considered. These exotic options are found in many ...
  • On the performance of Shewhart-type synthetic and runs-rules charts combined with an X chart 
    Shongwe, Sandile Charles; Graham, Marien Alet (Wiley, 2016-06)
    Please read abstract in the article.
  • On the real representation of quaternion random variables 
    Loots, Mattheus Theodor; Bekker, Andriette, 1958-; Arashi, Mohammad; Roux, Jacobus J.J. (Taylor & Francis, 2013)
    For the first time, the matrix-variate quaternion normal and quaternion Wishart distributions are derived from first principles, i.e. from their real counterparts, exposing the relations between their respective densities and ...
  • Ondersoek na fasette van leerders in 'n privaat skool se studieoriëntasie en die verband daarvan met wiskunde prestasie 
    Maree, J.G. (Kobus); Crafford, Gretel (Suid Afrikaanse Akademie vir Wetenskap & Kuns, 2005)
    Inadequate achievement in mathematics appears to be a major problem in post-apartheid South Africa. In the current article this phenomenon is discussed and possible reasons are indicated. The primary aim of the article is ...
  • One in five trail running race entrants sustained an injury in the 12 months training period before the 2021 Mac Mac ultra race 
    Jooste, Mignette; Janse van Rensburg, Dina Christina; Scheer, Volker; Jansen van Rensburg, Audrey; Ramagole, Dimakatso Althea; Botha, Tanita; Viljoen, Carel Thomas (MDPI, 2023-09)
    BACKGROUND : Trail running is characterised by large elevation gains/losses and varying uneven running surfaces. Limited literature is available to help guide injury prevention strategies among trail runners. The purpose ...
  • One in four trail running race entrants sustained an injury in the 12 months training preceding the 2019 SkyRun race 
    Viljoen, Carel Thomas; Janse van Rensburg, Dina Christina; Jansen van Rensburg, Audrey; Booysen, Evan; Chauke, Shihluke; Coetzee, Petro; Hurlimann, Amy; Jooste, Mignette; Nibe, Yoliswa; Schulenburg, Chene; Korkie, Elzette; Ramagole, Dimakatso Althea; Grant, C.C. (Catharina Cornelia); Cronje, Tanita (Elsevier, 2021-01)
    OBJECTIVE : To determine the epidemiology and clinical characteristics of RRIs among trail runners who entered the 2019 SkyRun races. DESIGN : Descriptive cross-sectional study. SETTING : 2019 SkyRun races. PARTICIPANTS ...
  • Optimising geographical accessibility to primary health care : a geospatial analysis of community health posts and community health workers in Niger 
    Oliphant, Nicholas Paul; Ray, Nicolas; Bensaid, Khaled; Ouedraogo, Adama; Gali, Asma Yaroh; Habi, Oumarou; Maazou, Ibrahim; Panciera, Rocco; Muniz, Maria; Sy, Zeynabou; Manda, S.O.M. (Samuel); Jackson, Debra; Doherty, Tanya (BMJ Publishing Group, 2021)
    BACKGROUND: Little is known about the contribution of community health posts and community health workers (CHWs) to geographical accessibility of primary healthcare (PHC) services at community level and strategies ...
  • Oral, maxillofacial and dental diseases in captive cheetahs (Acinonyx jubatus) 
    Steenkamp, Gerhardus; Boy, S.C.; Van Staden, Paul Jacobus; Bester, Marthan Nieuwoudt (Elsevier, 2018-01)
    Descriptions of several oral, maxillofacial and dental conditions/diseases exist for a variety of captive large felids, but little is reported on the pathology of free roaming large felids. Apart from focal palatine erosions ...
  • An overview of goodness-of-fit tests for the Poisson distribution 
    Mijburgh, P.A.; Visagie, I.J.H. (Jaco) (South African Statistical Association, 2020)
    The Poisson distribution has a large number of applications and is often used as a model in both a practical and a theoretical setting. As a result, various goodness-of-fit tests have been developed for this distribution. ...
  • An overview of image segmentation techniques 
    Fabris-Rotelli, Inger Nicolette; Greeff, J.F. (South African Statistical Association, 2012)
    We present an overview of some image segmentation techniques, employed to extract regions of interest. Examples, with comparisons, are presented for Iterative Selection, Balanced Histogram, Otsu’s method, Wellner algorithm, ...
  • An overview of image segmentation techniques 
    Fabris-Rotelli, Inger Nicolette; Greeff, J.F. (South African Statistical Association, 2012-11)
    We present an overview of some image segmentation techniques, employed to extract regions of interest. Examples, with comparisons, are presented for Iterative Selection, Balanced Histogram, Otsu’s method, Wellner algorithm, ...
  • An overview of noise in signal analysis 
    Fabris-Rotelli, Inger Nicolette; Smith, P.K. (South African Statistical Association, 2012-11)
    We present an overview of common methods for modelling a signal contaminated by noise. Specifically discussed are the structure imposed on a model, the properties the noise assumed, some common statistical distributions ...
  • An overview of synthetic-type control charts : techniques and methodology 
    Rakitzis, Athanasios C.; Chakraborti, Subhabrata; Shongwe, Sandile Charles; Graham, Marien Alet; Khoo, Michael Boon Chong (Wiley, 2019-11)
    In this paper, we provide an overview of a class of control charts called the synthetic charts. Synthetic charts are a combination of a traditional chart (such as a Shewhart, CUSUM, or EWMA chart) and a conforming run‐length ...