Quantile Regression: Estimation and Simulation

Contains an overview of several technical topicsof Quantile Regression

Volume two of Quantile Regression offers an important guide for applied researchers that draws on the same example-based approach adopted for the first volume. The text explores topics including robustness, expectiles, m-quantile, decomposition, time series, elemental sets and linear programming. Graphical representations are widely used to visually introduce several issues, and to illustrate each method. All the topics are treated theoretically and using real data examples. Designed as a practical resource, the book is thorough without getting too technical about the statistical background.

The authors cover a wide range of QR models useful in several fields. The software commands in R and Stata are available in the appendixes and featured on the accompanying website. The text:

• Provides an overview of several technical topics such as robustness of quantile regressions, bootstrap and elemental sets, treatment effect estimators
• Compares quantile regression with alternative estimators like expectiles, M-estimators and M-quantiles
• Offers a general introduction to linear programming focusing on the simplex method as solving method for the quantile regression problem
• Considers time-series issues like non-stationarity, spurious regressions, cointegration, conditional heteroskedasticity via quantile regression
• Offers an analysis that is both theoretically and practical
• Presents real data examples and graphical representations to explain the technical issues

Written for researchers and students in the fields of statistics, economics, econometrics, social and environmental science, this text offers guide to the theory and application of quantile regression models.

Avainsanat:

Robust regression; Influence function and diagnostic tools; Contaminated errors; Expectiles; M-estimators; M-quantiles; Resampling and subsampling; Elemental sets; Bootstrap; Extremal quantiles; Treatment effect and decomposition; Linear programming; Simplex algorithm; Revised simplex algorithm; Linear programming formulation of the quantile regression problem; Barrodale-Roberts algorithm for median and quantile regression; Geometrical interpretation of the quantile regression problem; Dual plot; Quantile regression process; Correlation; Autoregressive models; Non-stationarity; Inference in the unit root model; Spurious regression; Cointegration; Tests of changing coefficients; Conditionally heteroskedastic models