{"product_id":"self-normalized-processes-limit-theory-and-statistical-applications-9783540856351","title":"Self-Normalized Processes: Limit Theory and Statistical Applications","description":"\u003cp\u003e • Author(s): Victor H. Peña\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eSelf-normalized processes are of common occurrence in probabilistic and statistical studies. A prototypical example is Student's t-statistic introduced in 1908 by Gosset, whose portrait is on the front cover. Due to the highly non-linear nature of these processes, the theory experienced a long period of slow development. In recent years there have been a number of important advances in the theory and applications of self-normalized processes. Some of these developments are closely linked to the study of central limit theorems, which imply that self-normalized processes are approximate pivots for statistical inference.\u003c\/p\u003e \u003cp\u003eThe present volume covers recent developments in the area, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. This is the first book that systematically treats the theory and applications of self-normalization.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45274903642263,"sku":"9783540856351","price":9548.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540856351.webp?v=1769281290","url":"https:\/\/atlanticbooks.com\/products\/self-normalized-processes-limit-theory-and-statistical-applications-9783540856351","provider":"Atlantic Books","version":"1.0","type":"link"}