A Note on Testing Exponentiality Against New Better Than Used of Specified Age
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Parameshwar V. Pandit
Abstract
In this paper the problem is investigated how to prove that after a specified time t0 of operation the conditional survival probability of an item is less than the corresponding survival probability of a new item. This problem occurs in various areas like for instance in industry, when designing a maintenance policy. For a randomly censored sample, test statistics are derived for testing the null hypothesis that a new item has stochastically the same residual life length as does a used item of specified age t0 versus the alternative hypothesis that a new item has stochastically a longer residual life length as does a used item of specified age t0. The tests are based on the asymptotic distribution of the test statistics and selected using the Pitman asymptotic relative efficacy. Since small samples are prevailing in reliability testing, further research is needed, which omits the asymptotic derivation.
© Heldermann Verlag
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- Maintenance Policies with Minimal Repair
- Analysis of a Repairable System Subjected To Multiple Modes of Failure
- Run Length Variability and Three Sigma Control Limits
- Estimating Structural Reliability in the Presence of Covariates Via Bayesian Methods
- A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution
- A Note on Testing Exponentiality Against New Better Than Used of Specified Age
- Measurement Procedures for Improving the Variability Function
- The Least Cost Testing Sequence Problem
- Process Control for Three Quality Classes and Three Repair Actions
- Standardisation of Flour Testing in Alveograph NG
- A Problem Called ISO 2859-1 Sampling Procedures for Inspection by Attributes - Part 1
Articles in the same Issue
- Maintenance Policies with Minimal Repair
- Analysis of a Repairable System Subjected To Multiple Modes of Failure
- Run Length Variability and Three Sigma Control Limits
- Estimating Structural Reliability in the Presence of Covariates Via Bayesian Methods
- A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution
- A Note on Testing Exponentiality Against New Better Than Used of Specified Age
- Measurement Procedures for Improving the Variability Function
- The Least Cost Testing Sequence Problem
- Process Control for Three Quality Classes and Three Repair Actions
- Standardisation of Flour Testing in Alveograph NG
- A Problem Called ISO 2859-1 Sampling Procedures for Inspection by Attributes - Part 1
