scholarly journals Global Bahadur Representation for Nonparametric Censored Regression Quantiles and its Applications

2011 ◽  
Author(s):  
Oliver B. Linton ◽  
Efang Kong ◽  
Yingcun Xia
2007 ◽  
Vol 141 (1) ◽  
pp. 65-83 ◽  
Author(s):  
Richard Blundell ◽  
James L. Powell

2000 ◽  
Vol 99 (2) ◽  
pp. 373-386 ◽  
Author(s):  
Yannis Bilias ◽  
Songnian Chen ◽  
Zhiliang Ying

1986 ◽  
Vol 32 (1) ◽  
pp. 143-155 ◽  
Author(s):  
James L. Powell

2006 ◽  
Vol 1 (2) ◽  
pp. 345-357 ◽  
Author(s):  
D. G. W. Pitt

ABSTRACTThis paper investigates the use of censored regression quantiles in the analysis of claim termination rates for income protection (IP) insurance. The paper demonstrates the importance of modeling quantiles given the growing interest of regulators and others in stochastic approaches to valuation of insurance liabilities and risk margins.


2006 ◽  
Vol 101 (474) ◽  
pp. 860-861 ◽  
Author(s):  
Tereza Neocleous ◽  
Karlien Vanden Branden ◽  
Stephen Portnoy

2013 ◽  
Vol 29 (5) ◽  
pp. 941-968 ◽  
Author(s):  
Efang Kong ◽  
Oliver Linton ◽  
Yingcun Xia

This paper is concerned with the nonparametric estimation of regression quantiles of a response variable that is randomly censored. Using results on the strong uniform convergence rate of U-processes, we derive a global Bahadur representation for a class of locally weighted polynomial estimators, which is sufficiently accurate for many further theoretical analyses including inference. Implications of our results are demonstrated through the study of the asymptotic properties of the average derivative estimator of the average gradient vector and the estimator of the component functions in censored additive quantile regression models.


2010 ◽  
Vol 22 (1) ◽  
pp. 115-130 ◽  
Author(s):  
Stephen Portnoy ◽  
Guixian Lin

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