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BEYOND BETA AND VASICEK: A COMPARATIVE ANALYSIS OF CONTINUOUS DISTRIBUTIONS ON (0, 1)
Pages : [143] - [179]
Received : December 29, 2017; Revised January 5, 2018
Abstract
Distribution families on the unit interval play an important role in many statistical applications, especially in the field of finance. In the course of the recent years, it became law to some extent to use the Beta and the Kumaraswamy distribution, respectively, if loss rates are assumed to be stochastic and to use the Vasicek distribution as the corresponding pendant for default rates. On the other hand, a deeper look into the general statistical literature reveals several possible alternatives which are not so familiar in the financial community. Against this background and with view to possible model risk, we provide a comparative analysis of twelve two-parametric distribution families.
Keywords
skewness, kurtosis, beta, Kumaraswamy, Vasicek, probability distributions on [0, 1], credit risk.