Volume 19, Issue 1, March 2020, Pages 21 - 27
Some Applications of Near-Order Statistics in Two-Parameter Exponential Distribution
Authors
Masoumeh Akbari1, *, Mahboubeh Akbari2
1Department of Statistics, University of Mazandaran, Babolsar, Mazandaran 47416-95447, Iran
2Department of Statistics, University of Birjand, Birjand, 97175-615, Iran
*Corresponding author. Email: m.akbari@umz.ac.ir
Corresponding Author
Masoumeh Akbari
Received 24 January 2017, Accepted 7 August 2017, Available Online 3 March 2020.
- DOI
- 10.2991/jsta.d.200224.001How to use a DOI?
- Keywords
- Completeness properties; Exponential distribution; Müntz theorem; Near-order statistics
- Abstract
In this paper, some characterization results for exponential distribution are established. The results are concluded in terms of number of observations near of order statistics. It is shown that its probability mass function and its first moment can characterize the exponential distribution. Also, an estimator based on near-order statistics is introduced for tail thickness of exponential distribution.
- Copyright
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Masoumeh Akbari AU - Mahboubeh Akbari PY - 2020 DA - 2020/03/03 TI - Some Applications of Near-Order Statistics in Two-Parameter Exponential Distribution JO - Journal of Statistical Theory and Applications SP - 21 EP - 27 VL - 19 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200224.001 DO - 10.2991/jsta.d.200224.001 ID - Akbari2020 ER -