These functions have many physical interpretations, in practice. It is possible by deriving their analytical formula to estimate the parameters of the random field model being applied on the surface, and for statistical analysis investigation of its excursion sets. These subjects have been essentially considered in this thesis.
Firstly, the intrinsic volumes of the excursion sets of a class of mixture models defined by the linear combination of Gaussian and t random fields, then for the skew-t random fields are derived analytically. They have been compared and tested on surfaces generated by simulations.
In the second stage, these random fields have been applied to real surfaces measured from the UHMWPE component, involved in application of total hip implant, before and after wear simulation process. The primary results showed that the skew-t random field is more adequate, and flexible for modelling the topographic roughness. Following these arguments, a statistical analysis approach, based on the skew-t random field, is then proposed. The most remarkable aspect of the book is the reader-friendly structure and the style in which it has been written.
The book is also worth owning not only for those working in stochastic geometry and immediately related fields of theoretical and applied probability and spatial statistics. This book Oganyan, Mathematical Reviews, Issue g. Help Centre. Track My Order. My Wishlist Sign In Join.
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Stochastic and Integral Geometry : Rolf Schneider :
Point Processes. Geometric Models. Averaging with Invariant Measures.
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Stochastic and Integral Geometry
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