Abstract
The purpose of this chapter is to describe basic concepts of applying statistical methods to MSSs reliability assessment. Here we will stay in the Markov model framework and consider modern methods for estimation of transition intensity rates. But first basic concepts of statistical estimation theory will be briefly presented. Readers who need more fundamental and detailed development of estimation theory may wish to consult such texts as Bickel and Doksum (2007) or Lehmann and Casella (2003). Engineering applications can be found in Hines and Montgomery (1997), Ayyub and McCuen (2003), etc.
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(2010). Statistical Analysis of Reliability Data for Multi-state Systems. In: Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers. Springer, London. https://doi.org/10.1007/978-1-84996-320-6_3
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DOI: https://doi.org/10.1007/978-1-84996-320-6_3
Publisher Name: Springer, London
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