{"product_id":"introduction-to-nonparametric-estimation-9781441927095","title":"Introduction to Nonparametric Estimation","description":"\u003cp\u003e • Author(s): Alexandre B. Tsybakov\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\u003eMethods of nonparametric estimation are located at the core of modern statistical science. The aim of this book is to give a short but mathematically self-contained introduction to the theory of nonparametric estimation. The emphasis is on the construction of optimal estimators; therefore the concepts of minimax optimality and adaptivity, as well as the oracle approach, occupy the central place in the book.\u003c\/p\u003e \u003cp\u003eThis is a concise text developed from lecture notes and ready to be used for a course on the graduate level. The main idea is to introduce the fundamental concepts of the theory while maintaining the exposition suitable for a first approach in the field. Therefore, the results are not always given in the most general form but rather under assumptions that lead to shorter or more elegant proofs.\u003c\/p\u003e \u003cp\u003eThe book has three chapters. Chapter 1 presents basic nonparametric regression and density estimators and analyzes their properties. Chapter 2 is devoted to a detailed treatment of minimax lower bounds. Chapter 3 develops more advanced topics: Pinsker's theorem, oracle inequalities, Stein shrinkage, and sharp minimax adaptivity.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274717061271,"sku":"9781441927095","price":8079.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781441927095.webp?v=1769280752","url":"https:\/\/atlanticbooks.com\/products\/introduction-to-nonparametric-estimation-9781441927095","provider":"Atlantic Books","version":"1.0","type":"link"}