R package 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.

References in zbMATH (referenced in 710 articles , 1 standard article )

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  1. Carballo, Alba; Durban, Maria; Kauermann, Göran; Lee, Dae-Jin: A general framework for prediction in penalized regression (2021)
  2. Cheng, Changming; Bai, Erwei: Variable selection based on squared derivative averages (2021)
  3. Correia, Hannah E.; Abebe, Asheber: Regularised rank quasi-likelihood estimation for generalised additive models (2021)
  4. Gressani, Oswaldo; Lambert, Philippe: Laplace approximations for fast Bayesian inference in generalized additive models based on P-splines (2021)
  5. Hellmayr, Christoph; Gelfand, Alan E.: A partition Dirichlet process model for functional data analysis (2021)
  6. Kalogridis, Ioannis; Van Aelst, Stefan: (M)-type penalized splines with auxiliary scale estimation (2021)
  7. Kwessi, Eddy: Double penalized semi-parametric signed-rank regression with adaptive LASSO (2021)
  8. Liu, Jialuo; Chu, Tingjin; Zhu, Jun; Wang, Haonan: Semiparametric method and theory for continuously indexed spatio-temporal processes (2021)
  9. Meyer, Mark J.; Malloy, Elizabeth J.; Coull, Brent A.: Bayesian wavelet-packet historical functional linear models (2021)
  10. Mohanty, Soumya D.; Fahnestock, Ethan: Adaptive spline fitting with particle swarm optimization (2021)
  11. Ahmed, Syed Ejaz; Aydin, Dursun; Yilmaz, Ersin: Estimating the nonparametric regression function by using Padé approximation based on total least squares (2020)
  12. Bishoyi, Abhishek; Wang, Xiaojing; Dey, Dipak K.: Learning semiparametric regression with missing covariates using Gaussian process models (2020)
  13. Cattaneo, Matias D.; Farrell, Max H.; Feng, Yingjie: Large sample properties of partitioning-based series estimators (2020)
  14. Delaigle, Aurore; Huang, Wei; Lei, Shaoke: Estimation of conditional prevalence from group testing data with missing covariates (2020)
  15. Ding, Liwang; Chen, Ping: Statistical estimation for heteroscedastic semiparametric regression model with random errors (2020)
  16. Ding, Liwang; Chen, Ping; Zhang, Qiang; Li, Yongming: Asymptotic normality for wavelet estimators in heteroscedastic semiparametric model with random errors (2020)
  17. Kuchibhotla, Arun K.; Patra, Rohit K.: Efficient estimation in single index models through smoothing splines (2020)
  18. Lin, Yingqian; Tu, Yundong; Yao, Qiwei: Estimation for double-nonlinear cointegration (2020)
  19. Liu, Yusha; Li, Meng; Morris, Jeffrey S.: Function-on-scalar quantile regression with application to mass spectrometry proteomics data (2020)
  20. Marra, Giampiero; Radice, Rosalba: Copula link-based additive models for right-censored event time data (2020)

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