Kamil Feridun Turkman graduated from Middle East Technical University in 1976 and received a PhD degree in Statistics in 1980 from the University of Sheffield, England. Currently he is a Professor of Statistics at the Department of Statistics and Operations Research of the University of Lisbon, Portugal. His current research interests are on time series analysis, extreme value theory and environmental statistics.Manuel G. Scotto is presently Assistant Professor at the Department of Mathematics of the University of Aveiro (Portugal). He completed his PhD in Statistics in 2001. His research interests center in applied probability and sometimes cross the boundary into statistics. Current topics of research gravitate towards problems in integer valued time series analysis, forecasting, classification, extreme value theory and applied statistics.Patrícia de Zea Bermudez graduated in Applied Mathematics in 1990, received a MSc in Probability and Statistics in 1994 and a PhD in Probability and Statistics from the Faculty of Sciences of the University of Lisbon (FCUL) in 2003. She has been Assistant Professor at the Department of Statistics and Operations Research of FCUL since February 2003 (Tenure Track since February 2008). Her major research interests are Extreme Value Theory, Bayesian Statistics and Time Series.

"The style of the book is clearly intended for people who are familiar with the basic concepts of time series analysis. ... it can be readily recommended to people wishing for a not too technical, and concise introduction to nonlinear time series analysis, which is a certainly welcome addition to the knowledge of any scholar in probability and statistics." (Tamas T. Szabo, Acta Scientiarum Mathematicarum, Vol. 81 (1-2), 2015)

• 1.Introduction.- 2.Nonlinear Time Series Models.- 3.Extremes of Nonlinear Time Series.- 4.Inference for Nonlinear Time Series Models.- 5.Models for Integer-valued Time Series.

Kamil Feridun Turkman graduated from Middle East Technical University in 1976 and received a PhD degree in Statistics in 1980 from the University of Sheffield, England. Currently he is a Professor of Statistics at the Department of Statistics and Operations Research of the University of Lisbon, Portugal. His current research interests are on time series analysis, extreme value theory and environmental statistics.Manuel G. Scotto is presently Assistant Professor at the Department of Mathematics of the University of Aveiro (Portugal). He completed his PhD in Statistics in 2001. His research interests center in applied probability and sometimes cross the boundary into statistics. Current topics of research gravitate towards problems in integer valued time series analysis, forecasting, classification, extreme value theory and applied statistics.Patrícia de Zea Bermudez graduated in Applied Mathematics in 1990, received a MSc in Probability and Statistics in 1994 and a PhD in Probability and Statistics from the Faculty of Sciences of the University of Lisbon (FCUL) in 2003. She has been Assistant Professor at the Department of Statistics and Operations Research of FCUL since February 2003 (Tenure Track since February 2008). Her major research interests are Extreme Value Theory, Bayesian Statistics and Time Series.

"The style of the book is clearly intended for people who are familiar with the basic concepts of time series analysis. ... it can be readily recommended to people wishing for a not too technical, and concise introduction to nonlinear time series analysis, which is a certainly welcome addition to the knowledge of any scholar in probability and statistics." (Tamas T. Szabo, Acta Scientiarum Mathematicarum, Vol. 81 (1-2), 2015)

• 1.Introduction.- 2.Nonlinear Time Series Models.- 3.Extremes of Nonlinear Time Series.- 4.Inference for Nonlinear Time Series Models.- 5.Models for Integer-valued Time Series.