Statistical Extremes and Applications - Softcover

Tiago De Oliveira, J

Softcover

ISBN 10: 9401730709 ISBN 13: 9789401730709

Publisher: Springer, 2014

Synopsis

A - Core Course.- Inaugural Address: Statistical Extremes: Theory and Applications, Motivation and Perspectives.- Introduction, Order Statistics, Exceedances. Laws of Large Numbers.- Asymptotics; Stable Laws for Extremes. Tail Properties.- Slow Variation and Characterization of Domains of Attraction.- Introduction, Gumbel Model.- Statistical Estimation of Parameters of the Weibull and Frechet Distributions.- Univariate Extremes; Statistical Choice.- Statistical Estimation in Extreme Value Theory.- Probabilistic Aspects of Multivariate Extremes.- Bivariate Models for Extremes; Statistical Decision.- Extremes in Dependent Random Sequences.- Extremes in Continuous Stochastic Processes.- Comparison Technique for Highly Dependent Stationary Gaussian Processes.- Extremes in Hydrology.- Application of Extreme Values in Structural Engineering.- Extremes in Meteorology.- Extreme Values in Insurance Mathematics.- B - Specific Lectures.- Use and Structure of Slepian Model. Processes for Prediction and Detection in Crossing and Extreme Value Theory.- Spline and Isotonic Estimation of the Pareto Function.- Extremal Processes.- Extreme Values for Sequences of Stable Random Variables.- C - Workshops.- Large Deviations of Extremes.- Uniform Rates of Convergence to Extreme Value Distributions.- Rates of Convergence in Extreme Value Theory.- Concomitants in a Multidimensional Extreme Model.- A Short Cut Algorithm for Obtaining Coefficients of the BLUE's.- Statistical Choice of Univariate Extreme Models. Part II.- Doubly Exponential Random Number Generators.- Probability Problems in Seismic Risk and Load Combinations for Power Plants.- D - Contributed Papers.- The Distribution of the Maximal Time till Departure from a State in a Markov Chain.- The Box-Jenkins Model and the Progressive Fatigue Failure of Large Parallel Element Stay Tendons.- The Asymptotic Behaviour of the Maximum Likelihood Estimates for Univariate Extremes.- On Upper and Lower Extremes in Stationary Sequences.- Modelling Excesses over High Thresholds, with an Application.- Stationary Min-stable Stochastic Processes.- Strong Approximations of Records and Record Times.- High Percentiles Atmospheric SO2-Concentrations in Belgium.- Extreme Response of the Linear Oscillator with Modulated Random Excitation.- Frost Data: A Case Study on Extreme Values of Non-Stationary Sequences.- Estimation of the Scale and Location Parameters of the Extreme Value (Gumbel) Distribution for Large Censored Samples.- Asymptotic Behaviour of the Extreme Order Statistics in the Non-Identically Distributed Case.- Limit Distribution of the Minimum Distance between Independent and Identically Distributed d-Dimensional Random Variables.- Approximate Values for the Moments of Extreme Order Statistics in Large Samples.- Estimation of Parameters of Extreme Order Distributions of Exponential Type Parents.- On Ordered Uniform Spacings for Testing Goodness of Fit.- Inequalities for the Relative Sufficiency between Sets of Order Statistics.- POT-Estimation of Extreme Sea States and the Benefit of Using Wind Data.- Threshold Methods for Sample Extremes.- On Successive Record Values in a Sequence of Independent Identically Distributed Random Variables.- Two Test Statistics for Choice of Univariate Extreme Models.- On the Asymptotic Uperossings of a Class of Non-Stationary Sequences.- Author Index.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 9401730709
• ISBN 13: 9789401730709
• Binding: Paperback
• Number of pages: 708