{"product_id":"9781461276432","title":"Springer Texts in Statistics","description":"\u003ch1\u003eSpringer Texts in Statistics\u003c\/h1\u003e \u003ch2\u003eBerger, Marc A.\u003c\/h2\u003e \u003cp\u003eThese notes were written as a result of my having taught a \"nonmeasure theoretic\" course in probability and stochastic processes a few times at the Weizmann Institute in Israel. I have tried to follow two principles. The first is to prove things \"probabilistically\" whenever possible without recourse to other branches of mathematics and in a notation that is as \"probabilistic\" as possible. Thus, for example, the asymptotics of pn for large n, where P is a stochastic matrix, is developed in Section V by using passage probabilities and hitting times rather than, say, pulling in Perron­ Frobenius theory or spectral analysis. Similarly in Section II the joint normal distribution is studied through conditional expectation rather than quadratic forms. The second principle I have tried to follow is to only prove results in their simple forms and to try to eliminate any minor technical com­ putations from proofs, so as to expose the most important steps. Steps in proofs or derivations that involve algebra or basic calculus are not shown; only steps involving, say, the use of independence or a dominated convergence argument or an assumptjon in a theorem are displayed. For example, in proving inversion formulas for characteristic functions I omit steps involving evaluation of basic trigonometric integrals and display details only where use is made of Fubini's Theorem or the Dominated Convergence Theorem.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-09-16\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461276432\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-2726-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 205\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":44398581252236,"sku":"9781461276432","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461276432.jpg?v=1775732325","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781461276432","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}