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Estimation of System Reliability under Bivariate Rayleigh Distribution
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Abbas Pak
Published/Copyright:
March 15, 2010
Abstract
This paper deals with the estimation of reliability of either parallel or series systems with two components. We assume that the strengths of the components follow a bivariate Rayleigh distribution. The two components are subjected to either two independent stresses or a common stress which are (is) independent of the strengths of two components. We also assume that the stresses are Rayleigh distributed. Under these assumptions, the asymptotic distributions of the estimators are obtained and used for constructing asymptotic confidence intervals.
Keywords:: Maximum likelihood estimator; system reliability; stress-strength model; Fisher information matrix
Published Online: 2010-03-15
Published in Print: 2009-April
© Heldermann Verlag
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Keywords for this article
Maximum likelihood estimator;
system reliability;
stress-strength model;
Fisher information matrix
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
