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Book Cover
E-book
Author Cordeiro, Gauss M

Title Recent Advances in Lifetime and Reliability Models
Published Sharjah : Bentham Science Publishers, 2020

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Description 1 online resource (251 p.)
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
Summary 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 common language of survival dialogue because the framework subsumes many statistical properties of interest, such as reliability, entropy and maximum likelihood. Recent Advances in Lifetime and Reliability Models provides a comprehensive account of models and methods for lifetime models. Building from p
Notes Description based upon print version of record
The Gamma-log-logistic Distribution
Subject Survival analysis (Biometry)
Survival Analysis
Survival analysis (Biometry)
Form Electronic book
Author Silva, Rodrigo B
D., Abraão
ISBN 1681083450
9781681083452