Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein
distance Page 1 Bernoulli 25(4A), 2019, 2620–2648 https://doi.org/10.3150/18-BEJ1065 Sharp …
distance Page 1 Bernoulli 25(4A), 2019, 2620–2648 https://doi.org/10.3150/18-BEJ1065 Sharp …
Numerical probability
G Pagès - Universitext, Springer, 2018 - Springer
This book is an extended written version of the Master 2 course “Probabilités
Numériques”(ie, Numerical Probability or Numerical Methods in Probability) which has been …
Numériques”(ie, Numerical Probability or Numerical Methods in Probability) which has been …
An empirical analysis of scenario generation methods for stochastic optimization
N Löhndorf - European Journal of Operational Research, 2016 - Elsevier
This work presents an empirical analysis of popular scenario generation methods for
stochastic optimization, including quasi-Monte Carlo, moment matching, and methods based …
stochastic optimization, including quasi-Monte Carlo, moment matching, and methods based …
Multifractional stochastic volatility models
The aim of this work is to advocate the use of multifractional Brownian motion (mBm) as a
relevant model in financial mathematics. mBm is an extension of fractional Brownian motion …
relevant model in financial mathematics. mBm is an extension of fractional Brownian motion …
Contraction rates for sparse variational approximations in Gaussian process regression
We study the theoretical properties of a variational Bayes method in the Gaussian Process
regression model. We consider the inducing variables method introduced by Titsias (2009b) …
regression model. We consider the inducing variables method introduced by Titsias (2009b) …
Leveraging computer technologies and instructional approaches to facilitate learning
Higher institutions are increasingly embracing the use of computer technologies in
advancing education. Despite evidence pointing to the positive impact of computer …
advancing education. Despite evidence pointing to the positive impact of computer …
[图书][B] Marginal and functional quantization of stochastic processes
H Luschgy, G Pagès - 2023 - Springer
Vector Quantization is the name given to discretization methods based on nearest
neighbour search. It was developed in the 1950s, mostly in signal processing and …
neighbour search. It was developed in the 1950s, mostly in signal processing and …
Extreme-strike asymptotics for general Gaussian stochastic volatility models
A Gulisashvili, F Viens, X Zhang - Annals of Finance, 2019 - Springer
We consider a stochastic volatility asset price model in which the volatility is the absolute
value of a continuous Gaussian process with arbitrary prescribed mean and covariance. By …
value of a continuous Gaussian process with arbitrary prescribed mean and covariance. By …
A closed-form pricing formula for European options with market liquidity risk
In this paper, the impact of liquidity on the underlying asset is taken into account when
pricing European options through a discounting factor which depends on two factors, ie …
pricing European options through a discounting factor which depends on two factors, ie …
Optimal Delaunay and Voronoi quantization schemes for pricing American style options
G Pages, B Wilbertz - Numerical Methods in Finance: Bordeaux, June …, 2012 - Springer
We review in this article pure quantization methods for the pricing of multiple exercise
options. These quantization methods have the common advantage, that they allow a …
options. These quantization methods have the common advantage, that they allow a …