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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