A Goodness of Fit Approach to NBURFR and NBARFR Classes
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M. A. W. Mahmoud
Abstract
Most of the approaches suggested during the last decades for solving life testing problems are markedly different from those used in the related but wider area of goodness of fit problems. In this paper, it is demonstrated that applying the goodness of fit approach makes sense also for solving life testing problems and that it results in simpler procedures that are asymptotically equivalent or better than standard ones. They may also have superior finite sample behavior. Testing exponentiality against the class of “new better than used renewal failure rate” (NBURFR) or “new better than used average renewal failure rate” (NBARFR) as proposed by Abouammoh and Ahmed [Statistcs & Probability Letter 14: 211-217, 1992] are addressed here. The asymptotic properties are derived for these tests in the case of complete data. The censored data case is also studied. A practical application of the tests to data taken from medical sciences is presented.
© Heldermann Verlag
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- A Practical Procedure for Developing p-Charts
- Posterior Distribution and Loss Functions for Parameter Estimation in Weibull Processes
- Combined CUSUM–Shewhart Schemes for Binomial Data
- A Goodness of Fit Approach to NBURFR and NBARFR Classes
- Control Charts for the Log-Logistic Distribution
- Stability Index of Stochastic Processes: The Statistical Process Control Approach
- Multivariate Max-Chart
- An Optimization Methodology for Condition Based Minimal and Major Preventive Maintenance
- Multivariate Diagnostic Tests: A Review of Different Methods
- A Note on the Concept of Independence
Articles in the same Issue
- Transient Analysis of Multistage Degraded Systems with Partial Repairs of General Distribution Modeled by Erlang-k Distribution
- A Practical Procedure for Developing p-Charts
- Posterior Distribution and Loss Functions for Parameter Estimation in Weibull Processes
- Combined CUSUM–Shewhart Schemes for Binomial Data
- A Goodness of Fit Approach to NBURFR and NBARFR Classes
- Control Charts for the Log-Logistic Distribution
- Stability Index of Stochastic Processes: The Statistical Process Control Approach
- Multivariate Max-Chart
- An Optimization Methodology for Condition Based Minimal and Major Preventive Maintenance
- Multivariate Diagnostic Tests: A Review of Different Methods
- A Note on the Concept of Independence
