Advances and Applications in Statistics
Volume 60, Issue 1, Pages 93 - 103
(January 2020) http://dx.doi.org/10.17654/AS060010093 |
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ON A GENERALIZED UNIFORM DISTRIBUTION
Carlos Rondero-Guerrero, Isidro González-Hernández and Carlos Soto-Campos
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Abstract: This work presents a new family of the uniformly distribution functions, which is based on its generalization by introducing a new parameter in the probability density function connected to the power of the variable including an operator named herein Potenciada Mean. Additionally, higher-order moments of this new density function are calculated. Generalizations of the hazard and hazard rate functions are provided, extending some of the families of previously reported uniform distribution functions. Several graphs are presented for different values of the parameters involved. |
Keywords and phrases: uniform distribution, Marshall-Olkin distribution, survival function.
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