SemiPar
SemiPar: Semiparametic Regression. The primary aim of this book is to guide researchers needing to flexibly incorporate nonlinear relations into their regression analyses. Almost all existing regression texts treat either parametric or nonparametric regression exclusively. In this book the authors argue that nonparametric regression can be viewed as a relatively simple extension of parametric regression and treat the two together. They refer to this combination as semiparametric regression. The approach to semiparametric regression is based on penalized regression splines and mixed models. Every model in this book is a special case of the linear mixed model or its generalized counterpart. This book is very much problem-driven. Examples from their collaborative research have driven the selection of material and emphases and are used throughout the book. The book is suitable for several audiences. One audience consists of students or working scientists with only a moderate background in regression, though familiarity with matrix and linear algebra is assumed. Another audience that they are aiming at consists of statistically oriented scientists who have a good working knowledge of linear models and the desire to begin using more flexible semiparametric models. There is enough new material to be of interest even to experts on smoothing, and they are a third possible audience. This book consists of 19 chapters and 3 appendixes.
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References in zbMATH (referenced in 390 articles , 1 standard article )
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- Velasco-Cruz, Ciro; Contreras-Cruz, Luis Fernando; Smith, Eric P.; Rodríguez, José E.: A varying coefficients model for estimating finite population totals: a hierarchical Bayesian approach (2016)
- Xiao, Luo; Zipunnikov, Vadim; Ruppert, David; Crainiceanu, Ciprian: Fast covariance estimation for high-dimensional functional data (2016)
- Zhang, Chong; Liu, Yufeng; Wu, Yichao: On quantile regression in reproducing kernel Hilbert spaces with the data sparsity constraint (2016)
- Bravo, Francesco: Semiparametric estimation with missing covariates (2015)
- Charnigo, Richard; Feng, Limin; Srinivasan, Cidambi: Nonparametric and semiparametric compound estimation in multiple covariates (2015)
- Cheng, Guang; Zhang, Hao Helen; Shang, Zuofeng: Sparse and efficient estimation for partial spline models with increasing dimension (2015)
- Ding, Jianhua; Zhang, Zhongzhan: Convex analysis in the semiparametric model with Bernstein polynomials (2015)