A PERTURBED HALF-NORMAL DISTRIBUTION AND ITS APPLICATIONS

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MAHMOUDI EISA; LALEHZARI REIHANEH; SADAT MESHKAT RAHMAT

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Journal Paper

Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2018 | Volume:14 | Issue:2 Page(s): 219-246

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Information Journal Paper

Title

A PERTURBED HALF-NORMAL DISTRIBUTION AND ITS APPLICATIONS

Author(s)

MAHMOUDI EISA | LALEHZARI REIHANEH | SADAT MESHKAT RAHMAT | Issue Writer Certificate

Keywords

ERROR FUNCTION

HALF-NORMAL DISTRIBUTION

HYPERGEOMETRIC FUNCTION

SKEWNESS

MOMENT GENERATING FUNCTION

Abstract

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 rth 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 illustrated in an application to two real data sets.

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APA: Copy

MAHMOUDI, EISA, LALEHZARI, REIHANEH, & SADAT MESHKAT, RAHMAT. (2018). A PERTURBED HALF-NORMAL DISTRIBUTION AND ITS APPLICATIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 14(2), 219-246. SID. https://sid.ir/paper/706607/en

Vancouver: Copy

MAHMOUDI EISA, LALEHZARI REIHANEH, SADAT MESHKAT RAHMAT. A PERTURBED HALF-NORMAL DISTRIBUTION AND ITS APPLICATIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2018;14(2):219-246. Available from: https://sid.ir/paper/706607/en

IEEE: Copy

EISA MAHMOUDI, REIHANEH LALEHZARI, and RAHMAT SADAT MESHKAT, “A PERTURBED HALF-NORMAL DISTRIBUTION AND ITS APPLICATIONS,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 14, no. 2, pp. 219–246, 2018, [Online]. Available: https://sid.ir/paper/706607/en

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