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Characterizations Of New Modified Weibull Distribution, Gholamhossein Hamedani
Characterizations Of New Modified Weibull Distribution, Gholamhossein Hamedani
Mathematics, Statistics and Computer Science Faculty Research and Publications
Several characterizations of a New Modified Weibull distribution, introduced by Doostmoradi et al. (2014), are presented. These characterizations are based on: (i) truncated moment of a function of the random variable; (ii) the hazard function; (iii) a single function of the random variable; (iv) truncated moment of certain function of the 1st order statistic.
Remarks On A Paper Of Lee And Lim, Gholamhossein Hamedani, Michael Slattery
Remarks On A Paper Of Lee And Lim, Gholamhossein Hamedani, Michael Slattery
Mathematics, Statistics and Computer Science Faculty Research and Publications
Lee and Lim (2009) state three characterizations of Loamax, exponential and power function distributions, the proofs of which, are based on the solutions of certain second order non-linear differential equations. For these characterizations, they make the following statement : "Therefore there exists a unique solution of the differential equation that satisfies the given initial conditions". Although the general solution of their first differential equation is easily obtainable, they do not obtain the general solutions of the other two differential equations to ensure their claim via initial conditions. In this very short report, we present the general solutions of these equations …