Generalized Weibull Distributions

1. Front Matter

   Pages i-viii

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2. Weibull Distribution

   • Chin-Diew Lai

   Pages 1-21

3. Generalized Weibull Distributions

   • Chin-Diew Lai

   Pages 23-75

4. Models Involving Two or More Weibull Distributions

   • Chin-Diew Lai

   Pages 77-95

5. Discrete Weibull Distributions and Their Generalizations

   • Chin-Diew Lai

   Pages 97-113

6. Back Matter

   Pages 115-118

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The Weibull distribution has been one of the most cited lifetime distributions in reliability engineering. Over the last decade, many generalizations and extensions of the Weibull have been proposed in order to provide more flexibility than the traditional version when it comes to modeling lifetime data in diverse fields. This book offers an update on these developments, presenting the essential properties of each model. Several plots of density and hazard rate functions are also included, and a brief outline of known application(s) for each model is also given. ​

• Weibull distribution
• hazard rate
• lifetime data
• reliability engineering

“This brief monograph attempts to summarize the up-to-date status of the research and development of generalized Weibull distribution. … This book is a great resource for researchers in theory of statistical distributions, applied statisticians and reliability engineers who want a bird’s eye perspective of the most up-to-date synopsis on generalizations and modifications of the Weibull distribution.” (Hon Keung Tony Ng, Technometrics, Vol. 57 (1), February, 2015)

• Statistics and Bioinformatics Manawatu Campus, Massey University Institute of Fundamental Sciences, Palmerston North, New Zealand

  Chin-Diew Lai

Chin-Diew Lai is a Professor of Statistics at Massey University, New Zealand. Dr Lai has published over 100 research articles and four monographs, including two published by Springer: “Stochastic Ageing and Dependence for Reliability” co-authored by M Xie, and “Continuous Bivariate Distributions,” 2nd edition, co-authored by N Balakrishnan.

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