REMARKS ON A PAPER OF LEE AND LIM

G.G. Hamedani, M.C. Slattery
2014 Journal of the Chungcheng Mathematical Society  
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
more » ... le, 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 and show that the particular solutions satisfying the initial conditions are uniquely determined to be Lomax, exponential and power function distributions respectively.
doi:10.14403/jcms.2014.27.3.475 fatcat:ohqhig36ojhlhgrk3m2vxv62fu