CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES

• 발행기관: 충청수학회
• 저자명: Se-Kyung Chang Min-Young Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 4, 1~7쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.12.30

영문 초록

This paper presents characterizations based on the identical distribution and the finite moments of the exponential distribution by record values. We prove that X ∈ EXP (σ), σ > 0, if and only if X U (n+k) − X U (n) and X U (n) − X U (n−k) for n > 1 and k ≥ 1 are identically distributed. Also, we show that X ∈ EXP (σ), σ > 0, if and only if E = E ¡ X U (n) − X U (n−k) ¢ for n > 1 and k ≥ 1.

목차

1. Introduction

2. Main results