Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009‏ - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

Non‐Gaussian Ornstein–Uhlenbeck‐based models and some of their uses in financial economics

OE Barndorff‐Nielsen… - Journal of the Royal …, 2001‏ - Wiley Online Library
Non‐Gaussian processes of Ornstein–Uhlenbeck (OU) type offer the possibility of capturing
important distributional deviations from Gaussianity and for flexible modelling of …

[كتاب][B] Simulation and inference for stochastic differential equations: with R examples

SM Iacus - 2008‏ - Springer
Stochastic di? erential equations model stochastic evolution as time evolves. These models
have a variety of applications in many disciplines and emerge naturally in the study of many …

[كتاب][B] Parameter estimation in stochastic differential equations

JPN Bishwal - 2007‏ - books.google.com
Parameter estimation in stochastic differential equations and stochastic partial differential
equations is the science, art and technology of modelling complex phenomena and making …

Operator methods for continuous-time Markov processes

Y Aït-Sahalia, LP Hansen, JA Scheinkman - Handbook of financial …, 2010‏ - Elsevier
Publisher Summary This chapter surveys a set of mathematical and statistical tools that are
valuable in understanding and characterizing nonlinear Markov processes. Such processes …

Estimating functions for discretely observed diffusions: A review

M Sørensen - Lecture Notes-Monograph Series, 1997‏ - JSTOR
Several estimating functions for discretely observed diffusion processes are reviewed. First
we discuss simple explicit estimating functions based on Gaussian approximations to the …

Stochastic volatility models as hidden Markov models and statistical applications

V Genon-Catalot, T Jeantheau, C Larédo - 2000‏ - projecteuclid.org
This paper deals with the fixed sampling interval case for stochastic volatility models. We
consider a two-dimensional diffusion process (Y t, V t), where only (Y t) is observed at n …

Parametric inference for diffusion processes observed at discrete points in time: a survey

H Sørensen - International Statistical Review, 2004‏ - Wiley Online Library
This paper is a survey of estimation techniques for stationary and ergodic diffusion
processes observed at discrete points in time. The reader is introduced to the following …

Hyperbolic processes in finance

BM Bibby, M Sørensen - Handbook of heavy tailed distributions in finance, 2003‏ - Elsevier
Distributions that have tails heavier than the normal distribution are ubiquitous in finance.
For purposes such as risk management and derivative pricing it is important to use relatively …

[كتاب][B] Parameter estimation in stochastic volatility models

JPN Bishwal - 2022‏ - Springer
In this book, we study stochastic volatility models and methods of pricing, hedging, and
estimation. Among models, we will study models with heavy tails and long memory or long …