{"title":"Vicki Redden","description":null,"products":[{"product_id":"heroes-in-training-book-vicki-redden-9780828018432","title":"Heroes in Training","description":"\u003cp\u003e\u003cstrong\u003eStochastic Analysis for Gaussian Random Processes and Fields: With Applications\u003c\/strong\u003e presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe book begins with preliminary results on covariance and associated RKHS before introducing the Gaussian process and Gaussian random fields. The authors use chaos expansion to define the Skorokhod integral, which generalizes the It  integral. They show how the Skorokhod integral is a dual operator of Skorokhod differentiation and the divergence operator of Malliavin. The authors also present Gaussian processes indexed by real numbers and obtain a Kallianpur-Striebel Bayes' formula for the filtering problem. After discussing the problem of equivalence and singularity of Gaussian random fields (including a generalization of the Girsanov theorem), the book concludes with the Markov property of Gaussian random fields indexed by measures and generalized Gaussian random fields indexed by Schwartz space. The Markov property for generalized random fields is connected to the Markov process generated by a Dirichlet form.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49630293197073,"sku":"GOR008530127","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50369254555921,"sku":"CIN082801843XA","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":51376969842961,"sku":"GOR014246367","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52104890646801,"sku":"CIN082801843XG","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/082801843X.jpg?v=1750915055"},{"product_id":"god-s-amazing-creation-book-vicki-redden-9780828018715","title":"God's Amazing Creation","description":"Davina Dupree and her best friend Arabella enjoy their day out down an old smuggling tunnel that leads from their boarding school's cellars to a nearby beach. But after returning to the school that evening they discover a crisis has occurred - someone has stolen all of Marcel the chef's expensive ingredients  This means that Arabella may never be able to eat her favourite pudding, Magic Mousse, ever again  Davina and Arabella resolve to solve the mystery, a decision that plunges them into a murky world of smuggling and intrigue. The question is, will they be able to rescue the ingredients in time or will the smuggler get the better of them?","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49726004789521,"sku":"CIN0828018715G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52940773261585,"sku":"CIN0828018715VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0828018715.jpg?v=1751106990"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-vicki-redden.oembed","provider":"World of Books ","version":"1.0","type":"link"}