{"product_id":"9781461453680","title":"Smoothing Spline ANOVA Models","description":"\u003cp\u003eNonparametric function estimation with stochastic data, otherwise\u003c\/p\u003e\u003cp\u003eknown as smoothing, has been studied by several generations of\u003c\/p\u003e\u003cp\u003estatisticians. Assisted by the ample computing power in today's\u003c\/p\u003e\u003cp\u003eservers, desktops, and laptops, smoothing methods have been finding\u003c\/p\u003e\u003cp\u003etheir ways into everyday data analysis by practitioners. While scores\u003c\/p\u003e\u003cp\u003eof methods have proved successful for univariate smoothing, ones\u003c\/p\u003e\u003cp\u003epractical in multivariate settings number far less. Smoothing spline\u003c\/p\u003e\u003cp\u003eANOVA models are a versatile family of smoothing methods derived\u003c\/p\u003e\u003cp\u003ethrough roughness penalties, that are suitable for both univariate and\u003c\/p\u003e\u003cp\u003emultivariate problems.\u003c\/p\u003e\u003cp\u003eIn this book, the author presents a treatise on penalty smoothing\u003c\/p\u003e\u003cp\u003eunder a unified framework. Methods are developed for (i) regression\u003c\/p\u003e\u003cp\u003ewith Gaussian and non-Gaussian responses as well as with censored lifetime data; (ii) density and conditional density estimation under a\u003c\/p\u003e\u003cp\u003evariety of sampling schemes; and (iii) hazard rate estimation with\u003c\/p\u003e\u003cp\u003ecensored life time data and covariates. The unifying themes are the\u003c\/p\u003e\u003cp\u003egeneral penalized likelihood method and the construction of\u003c\/p\u003e\u003cp\u003emultivariate models with built-in ANOVA decompositions. Extensive\u003c\/p\u003e\u003cp\u003ediscussions are devoted to model construction, smoothing parameter\u003c\/p\u003e\u003cp\u003eselection, computation, and asymptotic convergence.\u003c\/p\u003e\u003cp\u003eMost of the computational and data analytical tools discussed in the\u003c\/p\u003e\u003cp\u003ebook are implemented in R, an open-source platform for statistical\u003c\/p\u003e\u003cp\u003ecomputing and graphics. Suites of functions are embodied in the R\u003c\/p\u003e\u003cp\u003epackage gss, and are illustrated throughout the book using simulated\u003c\/p\u003e\u003cp\u003eand real data examples.\u003c\/p\u003e\u003cp\u003eThis monograph will be useful as a reference work for researchers in\u003c\/p\u003e\u003cp\u003etheoretical and applied statistics as well as for those in other\u003c\/p\u003e\u003cp\u003erelated disciplines. It can also be used as a text for graduate level\u003c\/p\u003e\u003cp\u003ecourses on the subject. Most of the materials are accessible to a\u003c\/p\u003e\u003cp\u003esecond year graduate student with a good training in calculus and\u003c\/p\u003e\u003cp\u003elinear algebra and working knowledge in basic statistical inferences\u003c\/p\u003e\u003cp\u003esuch as linear models and maximum likelihood estimates.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2013\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer New York\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 7981\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"READABOOK BY ALKEM","offers":[{"title":"Default Title","offer_id":41278905843890,"sku":"9781461453680","price":2655602.76,"currency_code":"IDR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/1461453682.01_SCLZZZZZZZ.jpg?v=1636249096","url":"https:\/\/readabook.store\/en-id\/products\/9781461453680","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}