Journal of Statistical Theory and Applications

Volume 12, Issue 3, September 2013, Pages 306 - 320

Bonferroni and Gini Indices and Recurrence Relations for Moments of Progressive Type-II Right Censored Order Statistics from Marshall-Olkin Exponential Distribution

Authors
Narinder Pushkarna, Jagdish Saran, Rashmi Tiwari
Corresponding Author
Jagdish Saran
Available Online 1 September 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.3.7How to use a DOI?
Keywords
Bonferroni Curve; Bonferroni index; Lorenz Curve; Gini index; Marshall-Olkin exponential distri- bution; Order statistics; Progressive Type-II censored sampling
Abstract
In this paper, we derive explicit expressions for Bonferroni Curve (BC), Bonferroni index (BI), Lorenz Curve (LC) and Gini index (GI) for the Marshall-Olikn Exponential (MOE) distribution, which have mainly concern with some aspects like poverty, welfare, decomposability, reliability, sampling and inference.We also establish several recurrence relations satisfied by the single and the product moments of progressive Type-II right censored order statistics from MOE distribution, to enable one to evaluate the single and product moments of all order in a simple recursive way.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
12 - 3
Pages
306 - 320
Publication Date
2013/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.3.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Narinder Pushkarna
AU  - Jagdish Saran
AU  - Rashmi Tiwari
PY  - 2013
DA  - 2013/09
TI  - Bonferroni and Gini Indices and Recurrence Relations for Moments of Progressive Type-II Right Censored Order Statistics from Marshall-Olkin Exponential Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 306
EP  - 320
VL  - 12
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.3.7
DO  - https://doi.org/10.2991/jsta.2013.12.3.7
ID  - Pushkarna2013
ER  -