Title
Nonparametric Statistics for Diffusion Processes: The multidimensional case,Used
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Diffusion processes are widely used in many applied disciplines, such as biology, physics and financial mathematics. From the applied perspective multivariate diffusions are more interesting than scalar ones since only multidimensional models can describe the evolution of variables which interact among themselves. It is therefore very important to be able to identify such models starting from the observed data. However, while the scalar case has been widely studied, there are very few results for the multidimensional problem since these models present greater difficulties. This work provides a first insight into the problem of identification of multidimensional diffusions: the purpose is to estimate density and drift by the observation of a trajectory of a ddimensional homogeneous diffusion process with a unique invariant density. Estimators of the kernel type are proposed and their asymptotic properties are studied using different criteria. Rates of convergence are also provided. Performance of the estimators are examined in a simulation study, showing encouraging results. This analysis should be useful to researchers in the field and to anyone who may need to study this subject.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
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