On the independence of integer and fractional parts
Authors:
- 1 March 1989
- journal article
- Published by Wiley in Statistica Neerlandica
- Vol. 43 (1) , 53-59
Abstract
We use the independence of the integer and fractional parts of exponentially distributed random variables to obtain expressions for the order statistics from a geometric distribution. As our main result we show that a strong form of this independence characterizes the exponential distribution.Keywords
This publication has 3 references indexed in Scilit:
- Note on a characterization of exponential distributionsStatistics & Probability Letters, 1988
- Characterization of Distributions by the Method of Intensively Monotone Operators1984
- Characterizations of Probability Distributions1978