Beta slashed generalised half-normal distribution
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Date
Authors
Kanfer, Frans H.J.
Millard, Sollie M.
Journal Title
Journal ISSN
Volume Title
Publisher
South African Statistical Association
Abstract
In this paper we propose the beta slashed generalised half-normal distribution, which
includes some important distributions such as the half-normal, slashed half-normal and generalised
slashed half-normal distributions. Explicit expressions for the cumulative distribution and characteristic
functions are derived. The maximum likelihood estimates of the parameters are obtained via
the EM algorithm and the value of the proposed model is illustrated with an application on fatigue
data.
Description
Keywords
Beta distribution, Characteristic function, Half-normal distribution, Skewness, Stochastic representation
Sustainable Development Goals
Citation
Kanfer, F. & Millard, S. 2017, 'Beta slashed generalised half-normal distribution', South African Statistical Journal, vol. 51, pp. 329-343.