Journal of Statistical Theory and Applications

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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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 1
Pages
21 - 27
Publication Date
2020/03/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200224.001How to use a DOI?
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/).

Cite this article

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  -