Chi-Square Mixture of Transformed/Inverse Transformed Gamma Family

  •  Jayrold Arcede    
  •  Miraluna Herrera    
  •  Mark Cubelo    
  •  Alfredo Grino    


In this study, we define the chi-square  mixture of transformed gamma distribution which contained some special submodels namely, the chi-square  mixture of gamma, Weibull, and  exponential mixture distributions. Also, the chi-square  mixture of inverse transformed gamma distribution is defined and a class of submodels are deduced, that is, the chi-square  mixture of inverse  gamma, inverse Weibull, and inverse exponential mixture distributions. For both classes, statistical properties are investigated, that is, mean, variance, skewness and kurtosis using $r$th raw moment. The limiting behavior and   special cases are also given to established relationships.

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

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