{"product_id":"expansions-and-asymptotics-for-statistics-christopher-g-small-9781584885900","title":"Expansions and Asymptotics for Statistics","description":"\u003cp\u003eAsymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, \u003cstrong\u003eExpansions and Asymptotics for Statistics\u003c\/strong\u003e shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. \u003c\/p\u003e\u003cp\u003eThe book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramér, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Christopher G. Small\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1584885904\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781584885900\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/07\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 357\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.45lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.40h x 6.20w x 0.90d","brand":"Christopher G. Small","offers":[{"title":"Hardcover","offer_id":48088592646399,"sku":"9781584885900","price":210.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9b55cca6-9784-44e0-bca1-cd0ca57f4ee2.jpg?v=1769105630","url":"https:\/\/www.whiterainbookhouse.com\/products\/expansions-and-asymptotics-for-statistics-christopher-g-small-9781584885900","provider":"WR Book House","version":"1.0","type":"link"}