Book Reviews

Book Reviews

1983 | Leadbetter, M.R., G. Lindgren, and H. Rootzen
The book "Extremes and Related Properties of Random Sequences and Processes" by M.R. Leadbetter, G. Lindgren, and H. Rootzen is a comprehensive treatment of the theory of extreme values, extending classical theories to include dependent sequences and continuous parameter stochastic processes. The authors unify different directions of development, covering asymptotic distributional theory, exceedances, upcrossings, downcrossings, and extreme order statistics. The book is divided into four parts: Part I covers classical extreme value theory for independent, identically distributed random variables; Part II discusses stationary sequences, including dependent sequences and normal sequences; Part III extends the theory to continuous parameter stationary stochastic processes; and Part IV presents applications of the theory using physical principles. An appendix provides background on point processes. The book is recommended for both students and scientists interested in extreme value theory.The book "Extremes and Related Properties of Random Sequences and Processes" by M.R. Leadbetter, G. Lindgren, and H. Rootzen is a comprehensive treatment of the theory of extreme values, extending classical theories to include dependent sequences and continuous parameter stochastic processes. The authors unify different directions of development, covering asymptotic distributional theory, exceedances, upcrossings, downcrossings, and extreme order statistics. The book is divided into four parts: Part I covers classical extreme value theory for independent, identically distributed random variables; Part II discusses stationary sequences, including dependent sequences and normal sequences; Part III extends the theory to continuous parameter stationary stochastic processes; and Part IV presents applications of the theory using physical principles. An appendix provides background on point processes. The book is recommended for both students and scientists interested in extreme value theory.
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