Everything about Partially linear model
Type of statistical model
A partially linear model is a form of semiparametric model, since it contains parametric and nonparametric elements. Application of the least squares estimators is available to partially linear model, if the hypothesis of the known of nonparametric element is valid. Partially linear equations were first used in the analysis of the relationship between temperature and usage of electricity by Engle, Granger, Rice and Weiss (1986). Typical application of partially linear model in the field of Microeconomics is presented by Tripathi in the case of profitability of firm's production in 1997. Also, partially linear model applied successfully in some other academic field. In 1994, Zeger and Diggle introduced partially linear model into biometrics. In environmental science, Parda-Sanchez et al. used partially linear model to analysis collected data in 2000. So far, partially linear model was optimized in many other statistic methods. In 1988, Robinson applied Nadaraya-Waston kernel estimator to test the nonparametric element to build a least-squares estimator After that, in 1997, local linear method was found by Truong. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Partially linear modelA 5-minute orientation
- Skim a recent paper: Green technology innovations, urban innovation environment and CO2 emission reduction in China: Fresh evidence from a partially linear functional-coefficient panel modelInfluential work since 2022
- Pick up a classic book: The linear theory of Colombeau generalized functionsThe most-reprinted book on the subject
- Read the landmark paper: Partially filled linear Hubbard model near the atomic limitCited 89 times
- Go sideways: Probit modelA closely related topic
- Go sideways: Linear least squaresA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Partially filled linear Hubbard model near the atomic limit
Deep learning for the partially linear Cox model
Spline-backfitted kernel smoothing of partially linear additive model
Functional partially linear quantile regression model
Automatic model selection for partially linear models
A generalized partially linear model of asymmetric volatility
Kernel estimation of a partially linear additive model
Partially functional linear varying coefficient model
🆕 Influential since 2022
Green technology innovations, urban innovation environment and CO2 emission reduction in China: Fresh evidence from a partially linear functional-coefficient panel model
GMM estimation of partially linear additive spatial autoregressive model
Deep partially linear cox model for current status data
Model Checking in Partially Linear Spatial Autoregressive Models
Estimation for partial functional partially linear additive model
📚 Books worth reading
The linear theory of Colombeau generalized functionsM. Nedeljkov, M Nedeljkov · 1998
Convection Diffusion ProblemsMartin Stynes, David Stynes · 2018
Combinatorics and Random Matrix TheoryJinho Baik, Percy Deift · 2016- 📕Advances in Harmonic Analysis and Partial Differential EquationsDonatella Danielli, Irina Mitrea · 2020
Entropy and the quantum IIArizona School of Analysis with Applications (2nd 2010 University of Arizona) · 2011- 📕Random MatricesAlexei Borodin, Ivan Corwin · 2020
- 📕Golden Anniversary Celebration of the National Association of MathematiciansOmayra Ortega · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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