Finance -- Stable Distributions -- Extreme Value Analysis and Copulas -- Tail Dependence -- Pricing of Catastrophe Bonds -- Common Functional Implied Volatility Analysis -- Implied Trinomial Trees -- Heston's Model and the Smile -- FFT-based Option Pricing -- Valuation of Mortgage Backed Securities: from Optimality to Reality -- Predicting Bankruptcy with Support Vector Machines -- Econometric …
Theory -- Model-Based Approaches -- QMP-ZPC Filters -- The Periodogram -- Direct Filter Approach (DFA) -- Finite Sample Problems and Regularity -- Empirical Results -- Empirical Comparisons : Mean Square Performance -- Empirical Comparisons : Turning Point Detection -- Conclusion.The material contained in this book originated in interrogations about modern practice in time series analysis. • …
The Implied Volatility Surface -- Smile Consistent Volatility Models -- Smoothing Techniques -- Dimension-Reduced Modeling -- Conclusion and Outlook.The implied volatility surface is a key financial variable for the pricing and the risk management of plain vanilla and exotic options portfolios alike. Consequently, statistical models of the implied volatility surface are of immediate importance …
A Wide Range of Applications -- Optimal Procedures -- Testing Hypotheses -- Distributions -- Multiple Tests -- Experimental Designs -- Multifactor Designs -- Categorical Data -- Multivariate Analysis -- Clustering in Time and Space -- Coping with Disaster -- Solving the Unsolved and the Insolvable -- Publishing Your Results -- Increasing Computational Efficiency.This text will equip both practi…
Classification and Clustering -- Multi-Class Budget Exploratory Trees -- Methods to Compare Nonparametric Classifiers and to Select the Predictors -- Variable Selection in Cell Classification Problems: A Strategy Based on Independent Component Analysis -- Simplifying Classification Trees Through Consensus Methods -- Selecting the Training Set in Classification Problems with Rare Events -- A Cla…
Linear and Quadratic Programming -- General Optimization With Simple -- Advanced Issues in Mean-Variance Optimization -- Resampling and Portfolio Choice -- Scenario Optimization: Addressing Non-normality -- Robust Statistical Methods for Portfolio Construction -- Bayes Methods.In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient o…
to Longitudinal Data -- Plots -- Simple Analyses -- Critiques of Simple Analyses -- The Multivariate Normal Linear Model -- Tools and Concepts -- Specifying Covariates -- Modeling the Covariance Matrix -- Random Effects Models -- Residuals and Case Diagnostics -- Discrete Longitudinal Data -- Missing Data -- Analyzing Two Longitudinal Variables -- Further Reading.Longitudinal data are ubiquitou…
Pricing by Arbitrage -- Martingale Measures -- The First Fundamental Theorem -- Complete Markets -- Discrete-time American Options -- Continuous-Time Stochastic Calculus -- Continuous-Time European Options -- The American Put Option -- Bonds and Term Structure -- Consumption-Investment Strategies -- Measures of Risk.This book presents the mathematics that underpins pricing models for derivative…
Spot and Futures Markets -- An Introduction to Financial Derivatives -- Discrete-time Security Markets -- Benchmark Models in Continuous Time -- Foreign Market Derivatives -- American Options -- Exotic Options -- Volatility Risk -- Continuous-time Security Markets -- Fixed-income Markets -- Interest Rates and Related Contracts -- Short-Term Rate Models -- Models of Instantaneous Forward Rates -…
Main Definitions and Notations -- Main Definitions and Notations -- State Inference -- Filtering and Smoothing Recursions -- Advanced Topics in Smoothing -- Applications of Smoothing -- Monte Carlo Methods -- Sequential Monte Carlo Methods -- Advanced Topics in Sequential Monte Carlo -- Analysis of Sequential Monte Carlo Methods -- Parameter Inference -- Maximum Likelihood Inference, Part I: Op…