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We derive strong approximations to the supremum of the non-centered empirical process indexed by a possibly unbounded …
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require uniform boundedness of the class of functions. The proof of the approximation theorem builds on a new coupling … the supremum type statistics under weak regularity conditions, especially concerning the bandwidth and the number of …
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In the actuarial literature, it has become common practice to model future capital returns and mortality rates stochastically in order to capture market risk and forecasting risk. Although interest rates often should and mortality rates always have to be non-negative, many authors use stochastic...
Persistent link: https://www.econbiz.de/10010199021
A multiplier bootstrap procedure for construction of likelihood-based confidence sets is considered for finite samples and a possible model misspecification. Theoretical results justify the bootstrap consistency for a small or moderate sample size and allow to control the impact of the parameter...
Persistent link: https://www.econbiz.de/10010436527
In this paper, we propose a doubly robust method to present the heterogeneity of the average treatment effect with respect to observed covariates of interest. We consider a situation where a large number of covariates are needed for identifying the average treatment effect but the covariates of...
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