{"product_id":"abel-gontcharoff-pseudopolynomials-and-stochastic-applications-philippe-picard-9781836690726","title":"Abel-Gontcharoff Pseudopolynomials and Stochastic Applications","description":"This book proposes a new mathematical methodology for addressing first passage problems, particularly in various classical stochastic models of applied probability. This approach is based on the so-called Abel-Gontcharoff (A-G) pseudopolynomials and the associated A-G expansions, which have been introduced and studied by the authors in recent years. These A-G expansions generalize the well-known Abel expansion, which allows us to extend the standard Taylor formula. \u003cbr\u003e\u003cbr\u003e\u003ci\u003eAbel-Gontcharoff Pseudopolynomials and Stochastic Applications\u003c\/i\u003e starts by presenting an in-depth presentation of the general theory, and then moves onto stochastic applications of this theory, especially in biomathematics. Univariate and multivariate versions of the A-G pseudopolynomials, as well as extensions with randomized parameters, are discussed and illustrated for modeling, notably by highlighting families of martingales and using stopping time theorems. This book concludes by paving the way to a nonhomogeneous theory for first crossing problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Philippe Picard\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 183669072X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781836690726\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley-Iste\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/24\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 304\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.33lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.69d","brand":"Philippe Picard","offers":[{"title":"Hardcover","offer_id":49148387033343,"sku":"9781836690726","price":165.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/abel-gontcharoff-pseudopolynomials-and-stochastic-applications-philippe-picard-9781836690726","provider":"WR Book House","version":"1.0","type":"link"}