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 …
E Platen, N Bruti-Liberati - 2010 - books.google.com
In financial and actuarial modeling and other areas of application, stochastic differential equations with jumps have been employed to describe the dynamics of various state …
During the seven years that elapsed between the first and second editions of the present book, considerable progress was achieved in the area of financial modelling and pricing of …
Y Aït‐Sahalia - Econometrica, 2002 - Wiley Online Library
When a continuous‐time diffusion is observed only at discrete dates, in most cases the transition distribution and hence the likelihood function of the observations is not explicitly …
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 …
Let X t, t≤ T be a sample of discrete or continuous data that is randomly generated and takes values in r-dimensional Euclidean space. The distribution of X t depends on a …
B Eraker - Journal of Business & Economic Statistics, 2001 - Taylor & Francis
This article proposes a new method for estimation of parameters in diffusion processes from discrete observations. The method is based on Markov-chain Monte Carlo methodology and …
O Elerian, S Chib, N Shephard - Econometrica, 2001 - Wiley Online Library
This paper is concerned with the Bayesian estimation of nonlinear stochastic differential equations when observations are discretely sampled. The estimation framework relies on …
Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modelling complex phenomena and making …