Recent Advances in Lifetime and Reliability Models

Recent Advances in Lifetime and Reliability Models

Mathematicians and statisticians have made significant academic progress on the subject of distribution theory in the last two decades, and this area of study is becoming one of the main statistical tools for the analysis of lifetime (survival) data. In many ways, lifetime distributions are the comm...

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Bibliographic Details
Main Author: Cordeiro, Gauss M.
Other Authors: Silva, Rodrigo B., D., Abraão
Format: eBook
Language:English
Published: Sharjah : Bentham Science Publishers, 2020.
Subjects:
Survival analysis (Biometry)
Online Access:Click for online access
Table of Contents:
  • Cover
  • Title
  • Copyright
  • End User License Agreement
  • Contents
  • Foreword
  • Preface
  • Introduction
  • PRIMARY DEFINITIONS
  • CENSORING KINDS
  • First Censoring
  • Second Censoring
  • Parametric Estimation in Failure Data
  • SURVIVAL REGRESSION MODEL
  • Cox Proportional Hazards Model
  • Accelerated Failure Time Model
  • SPECIAL FUNCTIONS
  • STATISTICAL FUNCTIONS
  • Exponentiated Models
  • INTRODUCTION
  • SPECIAL CASES
  • The EE Distribution
  • The EW Distribution
  • ORDINARY MOMENTS
  • The EE Distribution
  • The EW Distribution
  • OTHER MOMENTS
  • The EE Distribution
  • The EW Distribution
  • INCOME MEASURES
  • The EE Distribution
  • The EW Distribution
  • ORDER STATISTICS
  • For the EE Distribution
  • For the EW Distribution
  • ENTROPY
  • The EE Distribution
  • The EW Distribution
  • ESTIMATION
  • For the EE Distribution
  • For the EW Distribution
  • APPLICATION
  • CONCLUSIONS
  • Beta Generalized Models
  • INTRODUCTION
  • SOME SPECIAL MODELS
  • QUANTILE FUNCTION
  • USEFUL EXPANSIONS
  • MOMENTS
  • SOME BASELINE PWMs
  • PWMs of the Beta Gamma
  • PWMs of the Beta Normal
  • PWMs of the Beta Beta
  • PWMs of the Beta Student t
  • PWMs BASED ON QUANTILES
  • Moments of the Beta Gamma
  • Moments of the Beta Student t
  • Moments of the Beta Beta
  • GENERATING FUNCTION
  • MEAN DEVIATIONS
  • ORDER STATISTICS
  • RELIABILITY
  • ENTROPY
  • ESTIMATION
  • BETA-G REGRESSION MODEL
  • An Extended Weibull Distribution
  • The Log-extended Weibull Distribution
  • The Log-extended Weibull Regression Model
  • CONCLUSIONS
  • Special Generalized Beta Models
  • BETA GENERALIZED EXPONENTIAL
  • BETA WEIBULL
  • BETA FRÉCHET
  • BETA MODIFIED WEIBULL
  • BETA BIRNBAUM-SAUNDERS
  • APPLICATIONS
  • CONCLUSIONS
  • The Kumaraswamy's Generalized Family of Models
  • INTRODUCTION
  • PHYSICAL MOTIVATION
  • SPECIAL Kw-G DISTRIBUTIONS
  • Kw-Normal (KwN)
  • Kw-Weibull (KwW)
  • Kw-Gamma (KwG)
  • Kw-Gumbel (KwGu)
  • Kw-Inverse Gaussian (KwIG)
  • Kw-Chen (KwChen)
  • Kw-XTG (KwXTG)
  • Kw-Flexible Weibull (KwFW)
  • ASYMPTOTES AND SHAPES
  • SIMULATION
  • USEFUL EXPANSIONS
  • MOMENTS
  • GENERATING FUNCTION
  • MEAN DEVIATIONS
  • RELATION WITH THE BETA-G
  • ESTIMATION
  • CONCLUSIONS
  • Special Kumaraswamy Generalized Models
  • KUMARASWAMY WEIBULL
  • Linear Representation
  • Moments
  • Generating Function
  • Maximum Likelihood Estimation
  • Applications
  • KUMARASWAMY BURR XII
  • Expansion for the Density Function
  • Moments
  • Generating Function
  • Estimation
  • Simulation Studies
  • Applications
  • KUMARASWAMY GUMBEL
  • Distribution and Density Functions
  • Shapes
  • Moments
  • Generating Function
  • Maximum Likelihood Estimation
  • Bootstrap Re-sampling Methods
  • A Bayesian Analysis
  • Application: Minimum Flow Data
  • CONCLUSIONS
  • The Gamma-G Family of Distributions
  • INTRODUCTION
  • SPECIAL GAMMA-G MODELS
  • The Gamma-Weibull Distribution
  • The Gamma-Normal Distribution
  • The Gamma-Gumbel Distribution
  • The Gamma-lognormal Distribution

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