This is a review article on lattice methods for multiple integration over the unit hypercube, with a variance-reduction viewpoint. It also contains some new results and ideas. The aim is to examine the basic principles supporting these methods and how they can be used eeectively for the simulation models that are typically encountered in the area of Management Science. These models can usually ...

Broadie and Glasserman proposed a simulation-based method they named stochastic mesh for pricing highdimensional American options. Based on simulated states of the assets underlying the option at each exercise opportunity, the method produces an estimator of the option value at each sampled state. Under the mild assumption of the finiteness of certain moments, we derive an asymptotic upper boun...

In this contribution we examine certain variance properties of model reduction. The focus is on L2 model reduction, but some general results are also presented. These general results can be used to analyze various other model reduction schemes. The models we study are nite impulse respons (FIR) and output error (OE) models. We compare the variance of two estimated models. The rst one is estimat...

SELECTION OF SIMULATION VARIANCE REDUCTION TECHNIQUES THROUGH A FUZZY EXPERT SYSTEM Adrian Aderemi Adewunmi, BSc In this thesis, the design and development of a decision support system for the selection of a variance reduction technique for discrete event simulation studies is presented. In addition, the performance of variance reduction techniques as stand alone and combined application has be...

introduction: this study was conducted to investigate the side effects of closed reduction method as a treatment modality of unilateral condylar fractures of the mandible in patients referred to shahid beheshti university hospital (babol, iran) over than one decade (2002 to 2012). materials and methods: to accomplish this study, patient’s data were collected referring to their files in shahid b...

We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds excess variance are derived under mild conditions. In particular, it is shown that some restrictions imposed on class fast convergence rates can be achieved including optimal non-parametric expressive classes in non-Donsker regime additional assumptions. Our main app...