Volume 13, Issue 4, December 2014, Pages 311 - 316
Characterizations of distributions via record values with random exponential shifts
Authors
Mohammad Ahsanullah, Valery B. Nevzorov, Ludmila Nevzorova
Corresponding Author
Mohammad Ahsanullah
Received 12 March 2014, Accepted 11 July 2014, Available Online 30 December 2014.
- DOI
- 10.2991/jsta.2014.13.4.4How to use a DOI?
- Keywords
- Characterizations; Order statistics; Record values; Exponential distribution; Weibull distribution
- Abstract
Some new characterizations of probability distributions based on properties of record values shifted by independent exponential variables are obtained. Explicit expressions for the inverse functions of the corresponding variables are presented. Among others some characterizations of exponential distributions and limiting distributions of maximal and minimal extreme values are given.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Mohammad Ahsanullah AU - Valery B. Nevzorov AU - Ludmila Nevzorova PY - 2014 DA - 2014/12/30 TI - Characterizations of distributions via record values with random exponential shifts JO - Journal of Statistical Theory and Applications SP - 311 EP - 316 VL - 13 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2014.13.4.4 DO - 10.2991/jsta.2014.13.4.4 ID - Ahsanullah2014 ER -