TY - JOUR JF - srtc-jsri JO - JSRI VL - 14 IS - 2 PY - 2018 Y1 - 2018/3/01 TI - A Perturbed Half-normal Distribution and Its Applications TT - ​توزیع نیم-نرمال پریشیده و کاربرد آن N2 - 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. SP - 219 EP - 246 AU - Mahmoudi, Eisa AU - Lalehzari, Reihaneh AU - Meshkat, Rahmat Sadat AD - KW - Error function KW - half-normal distribution KW - hypergeometric function KW - skewness KW - moment generating function. UR - http://jsri.srtc.ac.ir/article-1-272-en.html DO - 10.29252/jsri.14.2.219 ER -