# A Gini-Type Index for Aging/Rejuvenating Objects

@inproceedings{Kaminskiy2010AGI, title={A Gini-Type Index for Aging/Rejuvenating Objects}, author={Mark P. Kaminskiy and Vasiliy V. Krivtsov}, year={2010} }

This paper introduces a simple index that helps to assess the degree of aging or rejuvenation of repairable systems and non-repairable systems (components). The index ranges from − 1 to 1. It is negative for the class of decreasing failure rate distributions and point processes with decreasing ROCOF and is positive for the increasing failure rate distributions and point processes with increasing ROCOF. The introduced index is distribution free.

## 5 Citations

### Gini-Type Index for Ageing/Rejuvenating Populations

- Medicine
- 2014

Application of some basic notions and statistics of ageing distributions used in mathematical theory of reliability including the Gini-type index is discussed as a methodological tool for…

### On Reliability of a Multi‐Socket Repairable System

- MathematicsQual. Reliab. Eng. Int.
- 2017

A statistical procedure is reviewed that solves a dilemma in the framework of ordinary renewal process (ORP) and is extended to the non-homogeneous Poisson process (NHPP) and the g-renewal process (GRP).

### Reliability analysis of “sibling” components

- Business2014 Reliability and Maintainability Symposium
- 2014

Engineering systems often contain some identical components (parts), the so-called "siblings". In the case of an automobile, these would be engine spark plugs, light bulbs, wheels, etc. These sibling…

## References

SHOWING 1-9 OF 9 REFERENCES

### AN INTEGRAL MEASURE OF AGING/REJUVENATION FOR REPAIRABLE AND NON-REPAIRABLE SYSTEMS

- Mathematics
- 2007

A simple index is introduced that helps to assess the degree of aging or rejuvenation of repairable systems and non-repairable systems (components).

### Practical extensions to NHPP application in repairable system reliability analysis

- MathematicsReliab. Eng. Syst. Saf.
- 2007

### A useful generalization of renewal theory: counting processes governed by non-negative Markovian increments

- MathematicsJournal of Applied Probability
- 1986

Let N(t) be a counting process associated with a sequence of non-negative random variables (X j)1 ∞ where the distribution of Xn +1 depends only on the value of the partial sum Sn = Σj=1 n Xj . In…

### Statistical Models and Methods for Lifetime Data

- Mathematics
- 1983

Basic Concepts and Models. Observation Schemes, Censoring and Likelihood. Some Nonparametric and Graphical Procedures. Inference Procedures for Parametric Models. Inference procedures for…

### System Reliability Theory: Models, Statistical Methods, and Applications

- MathematicsTechnometrics
- 2004

This is a practical text that works well with nonstatisticians who have had a decent statistics course and also continues to be an excellent book for the statistician’s bookshelf.

### On Economic Inequality

- Economics
- 1960

First published in 1973, this book presents a systematic treatment of the conceptual framework as well as the practical problems of measurement of inequality. Alternative approaches are evaluated in…