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Mathematical methods of reliability theory /

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Mathematical Methods of Reliability Theory.

Bibliographic Details
Main Author: Gnedenko, B. V. (Boris Vladimirovich), 1912-1995
Corporate Author: ScienceDirect (Online service)
Other Authors: Beli︠a︡ev, I︠U︡. K. (I︠U︡riĭ Konstantinovich), 1932-, Solovʹev, A. D. (Aleksandr Dmitrievich)
Format: eBook
Language:English
Published: New York : Academic Press, 1969.
Series:Probability and mathematical statistics.
Subjects:
Reliability (Engineering)
Probabilities.
Mathematical statistics.
Probability
Fiabilité.
Probabilités.
Statistique mathématique.
probability.
Probabilities
Mathematical statistics
Markov-processen.
Wiskundige methoden.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Cover; Mathematical Methods of Reliability Theory; Copyright Page ; Preface; Table of Contents; Introduction; CHAPTER 1. Fundamentals of Probability Theory and Mathematical Statistics; 1.1 Concept of a Random Event. Basic Formulas of Probability Theory; 1.2 Random Variables and Their Distribution Functions; 1.3 Numerical Characteristics of Random Variables; 1.4 Some Limit Theorems in Probability Theory; 1.5 General Information on the Theory of Random Processes; 1.6 Fundamentals of Mathematical Statistics; 1.7 The Laplace Transform; Bibliography; CHAPTER 2. Characteristics of Reliability
  • 2.1 Basic Concepts of Reliability Theory2.2 Reliability of a Unit Functioning until First Failure; 2.3 The Reliability of a ""Renewable"" Unit; 2.4 System Reliability; Bibliography; CHAPTER 3. Evaluation of Reliability Factors from Experimental Data; 3.1 Testing for Reliability; 3.2 General Methods of Evaluating Reliability Factors from Experimental Data; 3.3 Evaluation of the Parameter of the Exponential Law; 3.4 Confidence Intervals for the Parameter of an Exponential Law; 3.5 Confidence Intervals and Sets. Case of Many Parameters; Bibliography; CHAPTER 4. Testing of Reliability Hypotheses
  • 5.4 Unloaded Standbys5.5 Lightly Loaded Standbys; 5.6 Switching Unreliabilities; 5.7 Certain Fundamental Problems of Standby Redundancy within the System; Bibliography; CHAPTER 6. Standby Redundancy with Renewal; 6.1 Introduction; 6.2 Duplication with Renewal; 6.3 Birth and Death Processes; 6.4 Study of a Nonstationary Period; 6.5 Application of Birth and Death Processes to Standby Redundancy with Renewal; Bibliography; CHAPTER 7. Statistical Methods of Quality Control and Reliability of Mass Production; 7.1 Introduction; 7.2 Numerical Characteristics of Sampling Inspection Plans
  • 7.3 Standards of Acceptance-Sampling Plans7.4 Economical Control Plans; 7.5 Subsequent Estimates of Quality from Sampling Results; 7.6 Introduction to Problems of Continuous Sampling; Bibliography; Appendix; Subject Index