# 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

Analysis of reliability systems via Gini-type index

- Computer Science, PhysicsEur. J. Oper. Res.
- 2018

The Gini-type index is utilized as an applicable tool for the study and comparison of the ageing properties of complex systems and a new stochastic order is introduced to compare the speed of ageing of components and systems.

Gini-Type Index for Ageing/Rejuvenating Populations

- Geography, Mathematics
- 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

- Engineering, Computer ScienceQual. 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).

A failure index for HPC applications

- Computer ScienceJ. Parallel Distributed Comput.
- 2016

The main result is the derivation of a new failure index metric for HPC-a normalized representation of parallel application volatility and/or resiliency to complement existing reliability metrics such as mean time between failure (MTBF), which aims for a better presentation of HPC application resilience.

Reliability analysis of “sibling” components

- Engineering2014 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 1-10 OF 10 REFERENCES

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

- Computer Science, 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

- Engineering, Computer ScienceReliab. Eng. Syst. Saf.
- 2007

This paper proposes to capitalize on the fact that NHPP's ROCOF formally coincides with the hazard function of the underlying lifetime distribution, and suggests the variety of parametric forms for the hazard functions of traditional lifetime distributions could be used as the models for the RocOF of respective NHPPs.

A USEFUL GENERALIZATION OF RENEWAL THEORY: COUNTING PROCESSES GOVERNED BY NON-NEGATIVE MARKOVIAN INCREMENTS

- Mathematics
- 1986

Let N(t) be a counting process associated with a sequence of non-negative random variables (X,)' where the distribution of X+i, depends only on the value of the partial sum S = X.., X,. In this…

Statistical Models and Methods for Lifetime Data

- Mathematics
- 2002

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

- Mathematics, Computer ScienceTechnometrics
- 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.

A Monte Carlo Approach to Repairable System Reliability Analysis

- Probabilistic Safety Assessment and Management,
- 1998