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

DOI

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.

Copyright

© 2013, 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/).

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TY  - JOUR
AU  - Narinder Pushkarna
AU  - Jagdish Saran
AU  - Rashmi Tiwari
PY  - 2013
DA  - 2013/09/01
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  - 10.2991/jsta.2013.12.3.7
ID  - Pushkarna2013
ER  -