{"product_id":"asymptotic-properties-of-permanental-sequences-related-to-birth-and-death-processes-and-autoregressive-gaussian-sequences-von-jay-rosen-michael-b-marcus","title":"Asymptotic Properties of Permanental Sequences","description":"\n                \u003cp\u003eThis SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains. \u003c\/p\u003e\n\nThe authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1\/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups.\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003eThe book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.\u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030694845\"\u003e\u003ch3\u003eRelated to Birth and Death Processes and Autoregressive Gaussian Sequences\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783030694845","offer_id":39423944917085,"sku":"9783030694845","price":74.89,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2aeb2022-e1b2-4ba5-8d0c-998065eaabec.jpg?v=1772169338","url":"https:\/\/shop.autorenwelt.de\/products\/asymptotic-properties-of-permanental-sequences-related-to-birth-and-death-processes-and-autoregressive-gaussian-sequences-von-jay-rosen-michael-b-marcus","provider":"Autorenwelt Shop","version":"1.0","type":"link"}