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The Resource Introduction to reliability analysis: probability models and statistical methods

Introduction to reliability analysis: probability models and statistical methods

Label
Introduction to reliability analysis: probability models and statistical methods
Title
Introduction to reliability analysis: probability models and statistical methods
Creator
Subject
Language
eng
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1932-
http://library.link/vocab/creatorName
Zacks, Shelemyahu
Index
no index present
LC call number
TA169
LC item number
.Z33 1992
Literary form
non fiction
Series statement
Springer texts in statistics
http://library.link/vocab/subjectName
  • Reliability (Engineering)
  • Reliability (Engineering)
Label
Introduction to reliability analysis: probability models and statistical methods
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 199-202) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1.2
  • 3.8
  • Exercises
  • (starting p. 62)
  • 4
  • Reliability of Repairable Systems
  • (starting p. 67)
  • 4.1
  • The Renewal Process
  • (starting p. 67)
  • 4.2
  • Time Categories
  • The Renewal Function and Its Density
  • (starting p. 69)
  • 4.3
  • Asymptotic Approximations
  • (starting p. 74)
  • 4.4
  • Increasing the Availability by Preventive Maintenance and Standby Systems
  • (starting p. 76)
  • 4.4.1
  • Systems with Standby and Repair
  • (starting p. 2)
  • (starting p. 76)
  • 4.4.2
  • Preventive Maintenance
  • (starting p. 78)
  • 4.5
  • Exercises
  • (starting p. 81)
  • 5
  • Graphical Analysis of Life Data
  • (starting p. 84)
  • 1.3
  • 5.1
  • Probability Plotting for Parametric Models with Uncensored Data
  • (starting p. 84)
  • 5.2
  • Probability Plotting with Censored Data
  • (starting p. 90)
  • 5.3
  • Non-Parametric Plotting
  • (starting p. 92)
  • 5.3.1
  • Reliability and Related Functions
  • Product Limit Estimator of Reliability
  • (starting p. 92)
  • 5.3.2
  • Total Time on Test Plots
  • (starting p. 95)
  • 5.4
  • Graphical Aids
  • (starting p. 96)
  • 5.5
  • Exercises
  • (starting p. 5)
  • (starting p. 97)
  • 6
  • Estimation of Life Distributions and System Characteristics
  • (starting p. 100)
  • 6.1
  • Properties of Estimators
  • (starting p. 100)
  • 6.1.1
  • The Estimation Problem
  • (starting p. 100)
  • 1.4
  • 6.1.2
  • Sampling Distributions, Accuracy and Precision
  • (starting p. 102)
  • 6.1.3
  • Closeness Probabilities
  • (starting p. 104)
  • 6.1.4
  • Confidence and Prediction Intervals
  • (starting p. 108)
  • 6.1.4.1
  • Availability, Maintainability and Repairability
  • Estimating the Parameters of a Normal Distribution
  • (starting p. 108)
  • 6.1.4.2
  • Estimating the Reliability Function for an Exponential Distribution
  • (starting p. 109)
  • 6.2
  • Maximum Likelihood Estimation
  • (starting p. 111)
  • 6.2.1
  • Single-Parameter Distributions
  • (starting p. 9)
  • (starting p. 111)
  • 6.2.1.1
  • Derivation
  • (starting p. 111)
  • 6.2.1.2
  • The Invariance Property
  • (starting p. 114)
  • 6.2.1.3
  • The Variance of an MLE
  • (starting p. 115)
  • 1.5
  • 6.2.2
  • Multiparameter Distributions
  • (starting p. 117)
  • 6.3
  • MLE of System Reliability
  • (starting p. 122)
  • 6.4
  • MLE from Censored Samples -- Exponential Life Distributions
  • (starting p. 125)
  • 6.4.1
  • Preface
  • Exercises
  • Type I Censored Data
  • (starting p. 125)
  • 6.4.2
  • Type II Censored Data
  • (starting p. 127)
  • 6.5
  • The Kaplan-Meier PL Estimator as an MLE of R(t): Non-Parametric Approach
  • (starting p. 129)
  • 6.6
  • Exercises
  • (starting p. 11)
  • (starting p. 132)
  • 7
  • Maximum Likelihood Estimators and Confidence Intervals for Specific Life Distributions
  • (starting p. 135)
  • 7.1
  • Exponential Distributions
  • (starting p. 135)
  • 7.2
  • Shifted Exponential Distributions
  • (starting p. 137)
  • 2
  • 7.3
  • Erlang Distributions
  • (starting p. 139)
  • 7.4
  • Gamma Distributions
  • (starting p. 141)
  • 7.5
  • Weibull Distributions
  • (starting p. 146)
  • 7.6
  • Life Distributions, Models and Their Characteristics
  • Extreme Value Distributions
  • (starting p. 151)
  • 7.7
  • Normal and Lognormal Distributions
  • (starting p. 153)
  • 7.8
  • Truncated Normal Distributions
  • (starting p. 155)
  • 7.9
  • Exercises
  • (starting p. 13)
  • (starting p. 157)
  • 8
  • Bayesian Reliability Estimation and Prediction
  • (starting p. 160)
  • 8.1
  • Prior and Posterior Distributions
  • (starting p. 160)
  • 8.2
  • Loss Functions and Bayes Estimators
  • (starting p. 163)
  • 2.1
  • 8.2.1
  • Distribution-Free Bayes Estimator of Reliability
  • (starting p. 164)
  • 8.2.2
  • Bayes Estimator of Reliability for Exponential Life Distributions
  • (starting p. 165)
  • 8.3
  • Bayesian Credibility and Prediction Intervals
  • (starting p. 166)
  • 8.3.1
  • Types of Failure Observations
  • Distribution-Free Reliability Estimation
  • (starting p. 166)
  • 8.3.2
  • Exponential Reliability Estimation
  • (starting p. 167)
  • 8.3.3
  • Prediction Intervals
  • (starting p. 168)
  • 8.4
  • Credibility Intervals for the Asymptotic Availability of Repairable Systems: The Exponential Case
  • (starting p. 13)
  • (starting p. 170)
  • 8.5
  • Empirical Bayes Method
  • (starting p. 172)
  • 8.6
  • Exercises
  • (starting p. 175)
  • 9
  • Reliability Demonstration: Testing and Acceptance Procedures
  • (starting p. 177)
  • 2.2
  • 9.1
  • Reliability Demonstration
  • (starting p. 177)
  • 9.2
  • Binomial Testing
  • (starting p. 178)
  • 9.3
  • Exponential Distributions
  • (starting p. 180)
  • 9.4
  • General Characteristics of Life Distributions
  • Sequential Reliability Testing
  • (starting p. 181)
  • 9.4.1
  • The SPRT for Binomial Data
  • (starting p. 182)
  • 9.4.2
  • The SPRT for Exponential Lifetimes
  • (starting p. 184)
  • 9.5
  • Sequential Tests for Poisson Processes
  • List of Abbreviations
  • (starting p. 14)
  • (starting p. 188)
  • 9.6
  • Bayesian Reliability Demonstration Tests
  • (starting p. 190)
  • 9.7
  • Accelerated Life Testing
  • (starting p. 195)
  • 9.8
  • Exercises
  • (starting p. 196)
  • 2.3
  • Annotated Bibliography
  • (starting p. 199)
  • Appendix of Statistical Tables
  • (starting p. 203)
  • Index
  • (starting p. 210)
  • Some Families of Life Distributions
  • (starting p. 18)
  • 2.3.1
  • Exponential and Shifted Exponential Distributions
  • (starting p. 18)
  • 2.3.2
  • Erlang, Chi-Square and Gamma Distributions
  • (starting p. 20)
  • 1
  • 2.3.3
  • Weibull Distributions
  • (starting p. 24)
  • 2.3.4
  • Extreme Value Distributions
  • (starting p. 27)
  • 2.3.5
  • The Normal and Truncated Normal Distributions
  • (starting p. 28)
  • 2.3.6
  • System Effectiveness
  • Normal Approximations
  • (starting p. 31)
  • 2.3.7
  • Lognormal Distributions
  • (starting p. 32)
  • 2.3.8
  • Auxiliary Distributions: t and F
  • (starting p. 33)
  • 2.4
  • Discrete Distributions of Failure Counts
  • (starting p. 1)
  • (starting p. 34)
  • 2.4.1
  • Distributions of Discrete Random Variables
  • (starting p. 34)
  • 2.4.2
  • The Binomial Distribution
  • (starting p. 35)
  • 2.4.3
  • The Poisson Distribution
  • (starting p. 37)
  • 1.1
  • 2.4.4
  • Hypergeometric Distributions
  • (starting p. 38)
  • 2.5
  • Exercises
  • (starting p. 39)
  • 3
  • Reliability of Composite Systems
  • (starting p. 44)
  • 3.1
  • Basic Concepts and Relationships
  • System Reliability for Series and Active Parallel Independent Components
  • (starting p. 44)
  • 3.2
  • k Out of n Systems of Independent Components
  • (starting p. 47)
  • 3.3
  • The Decomposition Method
  • (starting p. 49)
  • 3.4
  • Minimal Paths and Cuts
  • (starting p. 1)
  • (starting p. 51)
  • 3.5
  • The MTTF of Composite Systems
  • (starting p. 53)
  • 3.6
  • Sequentially Operating Components
  • (starting p. 54)
  • 3.7
  • Fault Tree Analysis
  • (starting p. 56)
Dimensions
25 cm.
Extent
xii, 212 pages
Isbn
9780387977188
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Introduction to reliability analysis: probability models and statistical methods
Publication
Bibliography note
Includes bibliographical references (pages 199-202) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1.2
  • 3.8
  • Exercises
  • (starting p. 62)
  • 4
  • Reliability of Repairable Systems
  • (starting p. 67)
  • 4.1
  • The Renewal Process
  • (starting p. 67)
  • 4.2
  • Time Categories
  • The Renewal Function and Its Density
  • (starting p. 69)
  • 4.3
  • Asymptotic Approximations
  • (starting p. 74)
  • 4.4
  • Increasing the Availability by Preventive Maintenance and Standby Systems
  • (starting p. 76)
  • 4.4.1
  • Systems with Standby and Repair
  • (starting p. 2)
  • (starting p. 76)
  • 4.4.2
  • Preventive Maintenance
  • (starting p. 78)
  • 4.5
  • Exercises
  • (starting p. 81)
  • 5
  • Graphical Analysis of Life Data
  • (starting p. 84)
  • 1.3
  • 5.1
  • Probability Plotting for Parametric Models with Uncensored Data
  • (starting p. 84)
  • 5.2
  • Probability Plotting with Censored Data
  • (starting p. 90)
  • 5.3
  • Non-Parametric Plotting
  • (starting p. 92)
  • 5.3.1
  • Reliability and Related Functions
  • Product Limit Estimator of Reliability
  • (starting p. 92)
  • 5.3.2
  • Total Time on Test Plots
  • (starting p. 95)
  • 5.4
  • Graphical Aids
  • (starting p. 96)
  • 5.5
  • Exercises
  • (starting p. 5)
  • (starting p. 97)
  • 6
  • Estimation of Life Distributions and System Characteristics
  • (starting p. 100)
  • 6.1
  • Properties of Estimators
  • (starting p. 100)
  • 6.1.1
  • The Estimation Problem
  • (starting p. 100)
  • 1.4
  • 6.1.2
  • Sampling Distributions, Accuracy and Precision
  • (starting p. 102)
  • 6.1.3
  • Closeness Probabilities
  • (starting p. 104)
  • 6.1.4
  • Confidence and Prediction Intervals
  • (starting p. 108)
  • 6.1.4.1
  • Availability, Maintainability and Repairability
  • Estimating the Parameters of a Normal Distribution
  • (starting p. 108)
  • 6.1.4.2
  • Estimating the Reliability Function for an Exponential Distribution
  • (starting p. 109)
  • 6.2
  • Maximum Likelihood Estimation
  • (starting p. 111)
  • 6.2.1
  • Single-Parameter Distributions
  • (starting p. 9)
  • (starting p. 111)
  • 6.2.1.1
  • Derivation
  • (starting p. 111)
  • 6.2.1.2
  • The Invariance Property
  • (starting p. 114)
  • 6.2.1.3
  • The Variance of an MLE
  • (starting p. 115)
  • 1.5
  • 6.2.2
  • Multiparameter Distributions
  • (starting p. 117)
  • 6.3
  • MLE of System Reliability
  • (starting p. 122)
  • 6.4
  • MLE from Censored Samples -- Exponential Life Distributions
  • (starting p. 125)
  • 6.4.1
  • Preface
  • Exercises
  • Type I Censored Data
  • (starting p. 125)
  • 6.4.2
  • Type II Censored Data
  • (starting p. 127)
  • 6.5
  • The Kaplan-Meier PL Estimator as an MLE of R(t): Non-Parametric Approach
  • (starting p. 129)
  • 6.6
  • Exercises
  • (starting p. 11)
  • (starting p. 132)
  • 7
  • Maximum Likelihood Estimators and Confidence Intervals for Specific Life Distributions
  • (starting p. 135)
  • 7.1
  • Exponential Distributions
  • (starting p. 135)
  • 7.2
  • Shifted Exponential Distributions
  • (starting p. 137)
  • 2
  • 7.3
  • Erlang Distributions
  • (starting p. 139)
  • 7.4
  • Gamma Distributions
  • (starting p. 141)
  • 7.5
  • Weibull Distributions
  • (starting p. 146)
  • 7.6
  • Life Distributions, Models and Their Characteristics
  • Extreme Value Distributions
  • (starting p. 151)
  • 7.7
  • Normal and Lognormal Distributions
  • (starting p. 153)
  • 7.8
  • Truncated Normal Distributions
  • (starting p. 155)
  • 7.9
  • Exercises
  • (starting p. 13)
  • (starting p. 157)
  • 8
  • Bayesian Reliability Estimation and Prediction
  • (starting p. 160)
  • 8.1
  • Prior and Posterior Distributions
  • (starting p. 160)
  • 8.2
  • Loss Functions and Bayes Estimators
  • (starting p. 163)
  • 2.1
  • 8.2.1
  • Distribution-Free Bayes Estimator of Reliability
  • (starting p. 164)
  • 8.2.2
  • Bayes Estimator of Reliability for Exponential Life Distributions
  • (starting p. 165)
  • 8.3
  • Bayesian Credibility and Prediction Intervals
  • (starting p. 166)
  • 8.3.1
  • Types of Failure Observations
  • Distribution-Free Reliability Estimation
  • (starting p. 166)
  • 8.3.2
  • Exponential Reliability Estimation
  • (starting p. 167)
  • 8.3.3
  • Prediction Intervals
  • (starting p. 168)
  • 8.4
  • Credibility Intervals for the Asymptotic Availability of Repairable Systems: The Exponential Case
  • (starting p. 13)
  • (starting p. 170)
  • 8.5
  • Empirical Bayes Method
  • (starting p. 172)
  • 8.6
  • Exercises
  • (starting p. 175)
  • 9
  • Reliability Demonstration: Testing and Acceptance Procedures
  • (starting p. 177)
  • 2.2
  • 9.1
  • Reliability Demonstration
  • (starting p. 177)
  • 9.2
  • Binomial Testing
  • (starting p. 178)
  • 9.3
  • Exponential Distributions
  • (starting p. 180)
  • 9.4
  • General Characteristics of Life Distributions
  • Sequential Reliability Testing
  • (starting p. 181)
  • 9.4.1
  • The SPRT for Binomial Data
  • (starting p. 182)
  • 9.4.2
  • The SPRT for Exponential Lifetimes
  • (starting p. 184)
  • 9.5
  • Sequential Tests for Poisson Processes
  • List of Abbreviations
  • (starting p. 14)
  • (starting p. 188)
  • 9.6
  • Bayesian Reliability Demonstration Tests
  • (starting p. 190)
  • 9.7
  • Accelerated Life Testing
  • (starting p. 195)
  • 9.8
  • Exercises
  • (starting p. 196)
  • 2.3
  • Annotated Bibliography
  • (starting p. 199)
  • Appendix of Statistical Tables
  • (starting p. 203)
  • Index
  • (starting p. 210)
  • Some Families of Life Distributions
  • (starting p. 18)
  • 2.3.1
  • Exponential and Shifted Exponential Distributions
  • (starting p. 18)
  • 2.3.2
  • Erlang, Chi-Square and Gamma Distributions
  • (starting p. 20)
  • 1
  • 2.3.3
  • Weibull Distributions
  • (starting p. 24)
  • 2.3.4
  • Extreme Value Distributions
  • (starting p. 27)
  • 2.3.5
  • The Normal and Truncated Normal Distributions
  • (starting p. 28)
  • 2.3.6
  • System Effectiveness
  • Normal Approximations
  • (starting p. 31)
  • 2.3.7
  • Lognormal Distributions
  • (starting p. 32)
  • 2.3.8
  • Auxiliary Distributions: t and F
  • (starting p. 33)
  • 2.4
  • Discrete Distributions of Failure Counts
  • (starting p. 1)
  • (starting p. 34)
  • 2.4.1
  • Distributions of Discrete Random Variables
  • (starting p. 34)
  • 2.4.2
  • The Binomial Distribution
  • (starting p. 35)
  • 2.4.3
  • The Poisson Distribution
  • (starting p. 37)
  • 1.1
  • 2.4.4
  • Hypergeometric Distributions
  • (starting p. 38)
  • 2.5
  • Exercises
  • (starting p. 39)
  • 3
  • Reliability of Composite Systems
  • (starting p. 44)
  • 3.1
  • Basic Concepts and Relationships
  • System Reliability for Series and Active Parallel Independent Components
  • (starting p. 44)
  • 3.2
  • k Out of n Systems of Independent Components
  • (starting p. 47)
  • 3.3
  • The Decomposition Method
  • (starting p. 49)
  • 3.4
  • Minimal Paths and Cuts
  • (starting p. 1)
  • (starting p. 51)
  • 3.5
  • The MTTF of Composite Systems
  • (starting p. 53)
  • 3.6
  • Sequentially Operating Components
  • (starting p. 54)
  • 3.7
  • Fault Tree Analysis
  • (starting p. 56)
Dimensions
25 cm.
Extent
xii, 212 pages
Isbn
9780387977188
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

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