{"product_id":"9783319220987","title":"SpringerBriefs in Mathematics","description":"\u003ch1\u003eSpringerBriefs in Mathematics\u003c\/h1\u003e \u003ch2\u003eBercu, Bernard; Delyon, Bernard; Rio, Emmanuel\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales.\u003c\/p\u003e\u003cp\u003eThe first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. Our goal is to show that it is really interesting to make use of concentration inequalities for sums and martingales.\u003c\/p\u003e\u003cp\u003eThe second chapter deals with classical concentration inequalities for sums of independent random variables such as the famous Hoeffding, Bennett, Bernstein and Talagrand inequalities. Further results and improvements are also provided such as the missing factors in those inequalities.\u003c\/p\u003e\u003cp\u003eThe third chapter concerns concentration inequalities for martingales such as Azuma-Hoeffding, Freedman and De la Pena inequalities. Several extensions are also provided.\u003c\/p\u003e\u003cp\u003eThe fourth chapter is devoted to applications of concentration inequalities in probability and statistics.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-10-12\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319220987\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-22099-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 120\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45548573819020,"sku":"9783319220987","price":76.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319220987.jpg?v=1775785805","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319220987","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}