Double bounded Kumaraswamy-power series class of distributions
Visualitza/Obre
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/88429
Tipus de documentArticle
Data publicació2013-01
EditorInstitut d'Estadística de Catalunya
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswamy (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as the Kumaraswamy-geometric, -Poisson, -logarithmic and -binomial, which are used widely in hydrology and related areas. In addition, the corresponding hazard rate function of the new class can be increasing, decreasing, bathtub and upside-down bathtub. Some basic properties of this class of distributions such as the moment generating function, moments and order statistics are studied. Some special members of the class are also investigated in detail. The maximum likelihood method is used for estimating the unknown parameters of the members of the new class. Finally, an application of the proposed class is illustrated using a real data set.
CitacióBidram, Hamid; Nekoukhou, Vahid. Double bounded Kumaraswamy-power series class of distributions. "SORT", Gener 2013, vol. 37, núm. 2, p. 211-230.
ISSN1696-2281
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37.2.6.bidram-nekoukhou.pdf | 656,9Kb | Visualitza/Obre |