{"product_id":"smoothing-spline-anova-models-9781461453680","title":"Smoothing Spline Anova Models","description":"\u003cp\u003e • Author(s): Chong Gu\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\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","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45274764574871,"sku":"9781461453680","price":10915.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461453680.webp?v=1769280881","url":"https:\/\/atlanticbooks.com\/products\/smoothing-spline-anova-models-9781461453680","provider":"Atlantic Books","version":"1.0","type":"link"}