Kumaraswamy-Half-Cauchy Distribution: Characterizations and Related Results

G.G. Hamedani, I. Ghosh

Abstract


We present  various characterizations of a recently introduced distribution (Ghosh2014), called Kumaraswamy-Half- Cauchy distribution based on: $\left(i\right)  $ a simple relation between two truncated moments; $\left(ii\right)  $ truncated moment of certain function of the $1^{st}$ \ orderstatistic; $\left(  iii\right)  $ truncated moment of certain function of therandom variable; $\left(  iv\right)  $ hazard function; $\left(  v\right)  $distribution of the $1^{st}$ \ order statistic; $\left(  vi\right)  $\ viarecord values. \ We also  provide some remarks on bivariate Gumbel copuladistribution whose marginal distributions are Kumaraswamy- Half-Cauchy distributions.

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DOI: https://doi.org/10.5539/ijsp.v4n3p94

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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