Ebook: Statistical and Probabilistic Models in Reliability

This volume consists of twenty-four papers selected by the editors from the sixty-one papers presented at the 1st International Conference on Mathemati­ cal Methods in Reliability held at the Politehnica University of Bucharest from 16 to 19 September 1997. The papers have been divided into three sections: statistical methods, probabilistic methods, and special techniques and appli­ cations. Of course, as with any classification, some papers could be as well assigned to other sections. Problems in reliability are encountered in items in everyday usage. Relia­ bility is an important feature of household appliances, cars, telephones, power supplies, and so on, whether viewed from the vantage of the producer or the consumer. Important decisions are based on the reliability of the product. Obtaining systems that perform adequately for a specified period of time in a given environment is an important goal for both government and industry. Hence study and use of reliability theory, which can be applied in the research, development, and production phases of a system to enable the user to evaluate and improve performance, is a worthwhile venture. If reliability theory is to be useful, it must be quantitative in nature, because reliability must be demonstra­ ble. Subsequently probability and statistics, among others, play an important part in its development.

---

---

Content:
Front Matter....Pages i-xxxvi
Front Matter....Pages 1-1
Statistical Modeling and Analysis of Repairable Systems....Pages 3-25
CPIT Goodness-Of-Fit Tests for Reliability Growth Models....Pages 27-37
On the Use of Minimally Informative Copulae in Competing Risk Problems....Pages 39-50
Model Building in Accelerated Experiments....Pages 51-73
On Semiparametric Estimation of Reliability From Accelerated Life Data....Pages 75-89
Analysis of Reliability Characteristics Estimators in Accelerated Life Testing....Pages 91-99
Chi-Squared Goodness of Fit Test for Doubly Censored Data With Applications in Survival Analysis and Reliability....Pages 101-111
Estimation of Kernel, Availability and Reliability of Semi-Markov Systems....Pages 113-124
Front Matter....Pages 125-125
Stochastic Models of Systems in Reliability Problems....Pages 127-141
Markovian Repairman Problems. Classification and Approximation....Pages 143-151
On Limit Reliability Functions of Large Systems. Part I....Pages 153-183
On Limit Reliability Functions of Large Systems. Part II....Pages 185-197
Error Bounds for a Stiff Markov Chain Approximation Technique and an Application....Pages 199-211
On the Failure Rate of Components Subjected to a Diffuse Stress Environment....Pages 213-224
Modelling the Reliability of a Complex System Under Stress Environment....Pages 225-234
On the Failure Rate....Pages 235-242
Asymptotic Results for the Failure Time of Consecutive k-out-of-n Systems....Pages 243-248
Front Matter....Pages 249-249
Two-Stage Start-Up Demonstration Testing....Pages 251-263
Optimal Prophylaxis Policy for Systems With Partly Observable Parameters....Pages 265-278
Exact Methods to Compute Network Reliability....Pages 279-294
Front Matter....Pages 249-249
On Matroid Base Families and the Reliability Computation of Totally Amenable Systems....Pages 295-305
The Computer-Assisted Analysis of the Semi-Markovian Stochastic Petri Nets and an Application....Pages 307-320
Incremental Approach for Building Stochastic Petri Nets for Dependability Modeling....Pages 321-335
Lifetime of High Temperature Working Pipes....Pages 337-347
Back Matter....Pages 349-352

---

Content:
Front Matter....Pages i-xxxvi
Front Matter....Pages 1-1
Statistical Modeling and Analysis of Repairable Systems....Pages 3-25
CPIT Goodness-Of-Fit Tests for Reliability Growth Models....Pages 27-37
On the Use of Minimally Informative Copulae in Competing Risk Problems....Pages 39-50
Model Building in Accelerated Experiments....Pages 51-73
On Semiparametric Estimation of Reliability From Accelerated Life Data....Pages 75-89
Analysis of Reliability Characteristics Estimators in Accelerated Life Testing....Pages 91-99
Chi-Squared Goodness of Fit Test for Doubly Censored Data With Applications in Survival Analysis and Reliability....Pages 101-111
Estimation of Kernel, Availability and Reliability of Semi-Markov Systems....Pages 113-124
Front Matter....Pages 125-125
Stochastic Models of Systems in Reliability Problems....Pages 127-141
Markovian Repairman Problems. Classification and Approximation....Pages 143-151
On Limit Reliability Functions of Large Systems. Part I....Pages 153-183
On Limit Reliability Functions of Large Systems. Part II....Pages 185-197
Error Bounds for a Stiff Markov Chain Approximation Technique and an Application....Pages 199-211
On the Failure Rate of Components Subjected to a Diffuse Stress Environment....Pages 213-224
Modelling the Reliability of a Complex System Under Stress Environment....Pages 225-234
On the Failure Rate....Pages 235-242
Asymptotic Results for the Failure Time of Consecutive k-out-of-n Systems....Pages 243-248
Front Matter....Pages 249-249
Two-Stage Start-Up Demonstration Testing....Pages 251-263
Optimal Prophylaxis Policy for Systems With Partly Observable Parameters....Pages 265-278
Exact Methods to Compute Network Reliability....Pages 279-294
Front Matter....Pages 249-249
On Matroid Base Families and the Reliability Computation of Totally Amenable Systems....Pages 295-305
The Computer-Assisted Analysis of the Semi-Markovian Stochastic Petri Nets and an Application....Pages 307-320
Incremental Approach for Building Stochastic Petri Nets for Dependability Modeling....Pages 321-335
Lifetime of High Temperature Working Pipes....Pages 337-347
Back Matter....Pages 349-352
....