Characterizations of exponential distributions by independent non-stationary record increments-Reference-Cited by-同舟云学术

Characterizations of exponential distributions by independent non-stationary record increments

Published:1982-03 Issue:01 Volume:19 Page:127-135
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Pfeifer Dietmar

Abstract

A non-homogeneous version of the classical record process is presented which allows two different characterizations of exponential distributions by independent non-stationary record increments. A connection with the interarrival times of the corresponding record counting process (which is pure birth) is also pointed out.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference11 articles.

1. On outstanding values in a sequence of random variables

2. A limit theorem for inter-record times

3. On record and inter-record times for a sequence of random variables defined on a Markov chain

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5. Random record models

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