Mixed Models: Combining incompatible scalar models in any space–time dimension

A Dimension Reduction Technique for Estimation in Linear Mixed Models

This paper proposes a dimension reduction technique for estimation in linear mixed models. Specifically, we show that in a linear mixed model, the maximum likelihood problem can be rewritten as a substantially simpler optimization problem which presents at least two main advantages: the number of variables in the simplified problem is lower; the search domain of the simplified problem is a comp...

infinite dimensional garch models

مدلهای گارچ در فضاهای هیلبرت پایان نامه حاضر شامل دو بخش می باشد. در قسمت اول مدلهای اتورگرسیو تعمیم یافته مشروط به ناهمگنی واریانس در فضاهای هیلبرت را معرفی، مفاهیم ریاضی مورد نیاز در تحلیل این مدلها در دامنه زمان را مطرح کرده و آنها را مورد بررسی قرار می دهیم. بر اساس پیشرفتهایی که اخیرا در زمینه تئوری داده های تابعی و آماره های عملگری ایجاد شده است، فرآیندهایی که دارای مقادیر در فضاهای ...

Matrix Models for Spacetime Topodynamics

The machinery is suggested to describe the varying spacetime topology on the level of its substitutes by finite topological spaces. Introduction The approximations of (or substitutes for) continuous spacetime by finitary structures are studied in this paper. The results presented furnish a framework in which one might express such ideas as variable spacetime topology or, for instance, the topol...

Exotic smoothness and spacetime models

Models for elastic shells with incompatible strains.

The three-dimensional shapes of thin lamina, such as leaves, flowers, feathers, wings, etc., are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric given on the thin sheet as a function of location in the central plane and also across its thickness. The shape is then a consequence of elastic energy minimization on...