{"product_id":"9783030694845","title":"SpringerBriefs in Probability and Mathematical Statistics: Related to Birth and Death Processes and Autoregressive Gaussian Sequences","description":"\u003ch1\u003eSpringerBriefs in Probability and Mathematical Statistics: Related to Birth and Death Processes and Autoregressive Gaussian Sequences\u003c\/h1\u003e \u003ch2\u003eMarcus, Michael B.; Rosen, Jay\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2021-03-31\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030694845\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-69485-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 114\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46547939164300,"sku":"9783030694845","price":71.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030694845.jpg?v=1775962896","url":"https:\/\/lateknightbooks.com\/products\/9783030694845","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}