:: Volume 14, Issue 2 (3-2018) ::
JSRI 2018, 14(2): 219-246 Back to browse issues page
A Perturbed Half-normal Distribution and Its Applications
Eisa Mahmoudi *, Reihaneh Lalehzari, Rahmat Sadat Meshkat
, mahmoudi@yazd.ac.ir
Abstract:   (1398 Views)
In this paper, a new generalization of the half-normal distribution which is called the perturbed half-normal distribution is introduced. The new distribution belongs to a family of distributions which includes the half-normal distribution along with an extra parameter to regulate skewness. The probability density function (pdf) is derived and some various properties of the new distribution are obtained. The derived properties include the cumulative distribution function (cdf), the $r$th moment, moment generating function, characteristic function, mean deviation about the mean and estimation of the parameters using the method of moments and maximum likelihood. Finally, the flexibility and potentiality of the new distribution is illustratedin an application to two real data sets.
Keywords: Error function, half-normal distribution, hypergeometric function, skewness, moment generating function.
Full-Text [PDF 371 kb]   (233 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/12/23 | Accepted: 2018/01/21 | Published: 2018/03/17
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