Advances in Stochastic Models for Reliability, Quality and Safety

✍ Scribed by Gerd Christoph, Karina Schreiber (auth.), Waltraud Kahle, Elart von Collani, Jürgen Franz, Uwe Jensen (eds.)

• Publisher: Birkhäuser Basel
• Year: 1998
• Tongue: English
• Leaves: 389
• Series: Statistics for Industry and Technology
• Edition: 1
• Category: Library

✦ Synopsis

Fast technological development produces systems of ever-increasing complex­ ity. The demand for reliable functioning of these systems has become more and more important. Thus, there is a need for highly reliable technical devices and systems, for monitoring and controlling their functioning and for planning maintenance and corrective actions to fulfill given requirements considering eco­ nomic limitations. These tasks reflect the wide field of engineering activities that are accompa­ nied by and based on a wide range of stochastical models. The book presents the main contributions to a workshop on Stochastic Models of Reliability, Qual­ ity, and Safety held in Schierke near Magdeburg, Germany. This workshop was part of a series of meetings that take place every two years organized by the Society of Reliability, Quality and Safety. The basic idea of these workshops is to bring together theorists, applied statisticians, and practitioners to exchange experiences and ideas of common interest. The book contains recent results in reliability and related fields. The presentation aims at making at least a part of the results accessible to engineers.

✦ Table of Contents

Front Matter....Pages i-xxvii
Front Matter....Pages 1-1
The Generalized Discrete Linnik Distributions....Pages 3-18
Acceptance Regions and Their Application in Lifetime Estimation....Pages 19-35
On Statistics in Failure-Repair Models Under Censoring....Pages 37-52
Parameter Estimation in Renewal Processes with Imperfect Repair....Pages 53-65
Investigation of Convergence Rates in Risk Theory in the Presence of Heavy Tails....Pages 67-80
Least Squares and Minimum Distance Estimation in the Three-Parameter Weibull and Fréchet Models with Applications to River Drain Data....Pages 81-97
Front Matter....Pages 99-99
Maximum Likelihood Estimation With Different Sequential k -out-of- n Systems....Pages 101-111
Stochastic Models for the Return of Used Devices....Pages 113-123
Some Remarks on Dependent Censoring in Complex Systems....Pages 125-138
Parameter Estimation in Damage Processes: Dependent Observation of Damage Increments and First Passage Time....Pages 139-152
Boundary Crossing Probabilities of Poisson Counting Processes with General Boundaries....Pages 153-166
Optimal Sequential Estimation for Markov-Additive Processes....Pages 167-181
Some Models Describing Damage Processes and Resulting First Passage Times....Pages 183-195
Absorption Probabilities of a Brownian Motion in a Triangular Domain....Pages 197-210
Front Matter....Pages 211-211
A Simple Algorithm for Calculating Approximately the Reliability of Almost Arbitrary Large Networks....Pages 213-233
Reliability Analysis in Flow Networks....Pages 235-245
Generalized Gram—Charlier Series A and C Approximation for Nonlinear Mechanical Systems....Pages 247-260
A Unified Approach to the Reliability of Recurrent Structures....Pages 261-273
Front Matter....Pages 275-275
Testing for the Existence of a Change-Point in a Specified Time Interval....Pages 277-289
On the Integration of Statistical Process Control and Engineering Process Control in Discrete Manufacturing Processes....Pages 291-310
Front Matter....Pages 275-275
Controlling a Process with Three Different States....Pages 311-322
CUSUM Schemes and Erlang Distributions....Pages 323-339
On the Average Delay of Control Schemes....Pages 341-360
Tolerance Bounds and C pk Confidence Bounds Under Batch Effects....Pages 361-379
Back Matter....Pages 381-382

✦ Subjects

Mathematics, general