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Applied Nonparametric Statistics in Reliability / Edition 1
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Applied Nonparametric Statistics in Reliability / Edition 1
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is focused on the use of modern statistical methods for the estimation of dependability measures of reliability systems that operate under different conditions. The scope of the book includes:
• smooth estimation of the reliability function and hazard rate of non-repairable systems;
• study of shastic processes for modelling the time evolution of systems when imperfect repairs are performed;
• nonparametric analysis of discrete and continuous time semi-Markov processes;
• isotonic regression analysis of the structure function of a reliability system, and
• lifetime regression analysis.
Besides the explanation of the mathematical background, several numerical computations or simulations are presented as illustrative examples. The corresponding computer-based methods have been implemented using R and MATLAB
. A concrete modelling scheme is chosen for each practical situation and, in consequence, a nonparametric inference procedure is conducted.
will serve the practical needs of scientists (statisticians and engineers) working on applied reliability subjects.