Collani, E. V.; Kahle, Waltraud; Franz, Jurgen

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Provides current results in mathematical theory of reliability. The text contains results in lifetime analysis including a description of damage by stochastic processes, calculation of the resulting lifetime distribution, and analysis of technical systems and process control. Also included are results in lifetime analysis: parameter estimation form an observation of a failure-repair process with incomplete repair, change point detection; and effective estimation of parameters of the parameter Weibull distribution. Several results in analysis of large systems and networks including effective algorithm and questions of censoring new methods in process control are presented in the text.