REMARKS ON A PAPER OF LEE AND LIM

• 발행기관: 충청수학회
• 저자명: G. G. Hamedani M. C. Slattery
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 3, 475~477쪽, 전체 3쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.08.30

영문 초록

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 di？？erential equations. For these characterizations, they make the following statement : \Therefore there exists a unique solution of the di？？erential equation that satis¯es the given initial conditions . Although the general solution of their ¯rst di？？erential equation is easily obtainable, they do not obtain the general solutions of the other two di？？erential equations to ensure their claim via initial con- ditions. 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, expo- nential and power function distributions respectively.

목차

1. Introduction

2. General solutions of (1:1), (1:2) & (1:3)