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.


This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1927-7032
  • Issn(Onlne): 1927-7040
  • Started: 2012
  • Frequency: bimonthly

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