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A New Generalization of the Pareto Distribution

The Egyptian Statistical Journal • 2015
العودة
معلومات البحث
المؤلفون Mohamed, S. M., & Mansour, M. M
الكلمات المفتاحية : Kumaraswamy distribution; transmutation; survival function; exponentiated exponential; order statistics; maximum likelihood estimation.
المجلة العلمية The Egyptian Statistical Journal
الناشر Not Available
المجلد 59
العدد 1
الصفحات 108-126
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
This paper introduces a new generalization of the Pareto distribution, based on a new family of lifetime distribution by Mansour et al (2015). We refer to the new distribution as Kumaraswamy new transmuted Pareto (Kw-NTP) distribution. The new model contains some of lifetime distributions as special cases such as the transmuted Pareto, Kumaraswamy-transmuted exponentiated Pareto, exponentiated Pareto, and Pareto distributions, among others. The properties of the new model are discussed and the maximum likelihood estimation is used to evaluate the parameters. Explicit expressions are derived for the moments and examine the order statistics. An application to real data set is finally presented for illustration.