Reliability:  Probabilistic Models and Statistical Methods

1.  Introduction
    1.1  A definition of reliability
    1.2  Case study 
    1.3  Overview 
 2.  Coherent Systems Analysis 
    2.1  Structure functions
    2.2  Minimal path and cut sets
    2.3  Reliability functions
    2.4  System reliability bounds
 3.  Lifetime Distribution Representations
    3.1  Distribution representations
    3.2  Discrete distributions
    3.3  Moments and fractiles
    3.4  System lifetime distributions
    3.5  Distribution classes
 4.  Parametric Lifetime Models
    4.1  Parameters
    4.2  The exponential distribution
    4.3  The Weibull distribution
    4.4  The gamma distribution
    4.5  Other lifetime distributions
 5.  Specialized Models 
    5.1  Competing risks
    5.2  Mixtures
    5.3  Accelerated life
    5.4  Proportional hazards
 6.  Repairable Systems 
    6.1  Introduction 
    6.2  Point processes 
    6.3  Availability
    6.4  Birth-death models 
 7.  Lifetime Data Analysis
    7.1  Point estimation
    7.2  Interval estimation
    7.3  Likelihood theory
    7.4  Asymptotic Properties
    7.5  Censoring
 8.  Fitting Parametric Models to Data
    8.1  Sample data sets
    8.2  The exponential distribution
    8.3  The Weibull distribution
 9.  Parametric Estimation for Models with Covariates 
    9.1  Model formulation
    9.2  Accelerated life
    9.3  Proportional hazards
 10.  Nonparametric Methods and Assessing Model Adequacy
    10.1  Survivor function estimation 
    10.2  Life tables 
    10.3  Kolmogorov-Smirnov test: all parameters known
    10.4  Kolmogorov-Smirnov test: parameters estimated from data