## Analysis of Failure and Survival DataAnalysis of Failure and Survival Data is an essential textbook for graduate-level students of survival analysis and reliability and a valuable reference for practitioners. It focuses on the many techniques that appear in popular software packages, including plotting product-limit survival curves, hazard plots, and probability plots in the context of censored data. The author integrates S-Plus and Minitab output throughout the text, along with a variety of real data sets so readers can see how the theory and methods are applied. He also incorporates exercises in each chapter that provide valuable problem-solving experience. In addition to all of this, the book also brings to light the most recent linear regression techniques. Most importantly, it includes a definitive account of the Buckley-James method for censored linear regression, found to be the best performing method when a Cox proportional hazards method is not appropriate. Applying the theories of survival analysis and reliability requires more background and experience than students typically receive at the undergraduate level. Mastering the contents of this book will help prepare students to begin performing research in survival analysis and reliability and provide seasoned practitioners with a deeper understanding of the field. |

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### Contents

Survival Distributions | 1 |

Hazard Models | 19 |

Reliability of Systems | 37 |

Data Plots | 55 |

Censoring and Lifetables | 73 |

The ProductLimit Estimator | 95 |

Parametric Survival Models under Censoring | 119 |

Fitting Parametric Regression Models | 143 |

Cox Proportional Hazards | 167 |

Linear Regression with Censored Data | 187 |

BuckleyJames Diagnostics and Applications | 215 |

246 | |

252 | |

### Common terms and phrases

accelerated lifetime model added variable plot asymptotic baseline hazard boxplot Buckley-James estimator Buckley-James method censored data censored points Chapter components confidence interval constant Construct covariate cumulative hazard function data points data set Definition Delta Method denotes Determine diagnostic empirical survivor function equation Example exponential distribution extreme value follows given hazard function Heart Transplant data interval-censored iteration least squares left-censored lifetable linear model linear regression loge maximum likelihood estimator mean notation number at risk observed data observed lifetimes parameter patients PL-estimator Placebo plotting positions probability density function probability plot product-limit estimator proportional hazards model quantile reliability remission renovated data renovated residuals renovated scatterplot response result right-censored data risk set S-PLUS sample Show standard error Stanford Heart Transplant Statistical structure function Suppose survival function survival random variable Theorem tion tumors Type II censored uncensored observations variance vector Weibull distribution Weibull model weight matrix