Generalized Loss of Memory Property and a Multivariate Extension
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David D. Hanagal
Abstract
In many practical situations, we observe that the residual life gets independent of age after some shift. For example, at the of operation the life time of a component cannot be described sufficiently well by an exponential distribution as many internal sources of failure are existing. However, once the component has reached, let us say, the full operative status after some time, the component enters a stable state without any essential internal failure modes. During this state the assumption of exponential distribution is justified. We extend the multivariate loss of memory property of Marshall-Olkin (Journal of the American Statistical Association 62: 30–44, 1967) by admitting some shift in the lifetimes of the components. Furthermore, we present four examples of bivariate exponential models that satisfy the here considered generalized loss of memory property.
© Heldermann Verlag
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Articles in the same Issue
- Defining Precision for Reliable Measurement and Estimation Procedures
- Some Aspects of Discrete Hazard Rate Function in Telescopic Families
- Generalized Loss of Memory Property and a Multivariate Extension
- Threshold Autoregressive Individuals Control Charts
- A Group Acceptance Sampling Plans for Lifetimes Following a Generalized Exponential Distribution
- On The New Better Than Used Renewal Failure Rate at Specified Time
- A Novel Markov System Dynamics Framework for Reliability Analysis of Systems
- SS-CUSUM Chart
- Economic Design of Moving Average Control Chart for Continued and Ceased Production Process
- Estimation of System Reliability under Bivariate Rayleigh Distribution
