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operator (Lasso) method proposed by Tibshirani (1996) and extended into quantile regression context by Li and Zhu (2008). The …
Persistent link: https://www.econbiz.de/10011557306
In this paper, we derive central limit and bootstrap theorems for probabilities that centered high-dimensional vector sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the probabilities that a root-n rescaled sample average of Xi is...
Persistent link: https://www.econbiz.de/10010459841
In this paper, we derive central limit and bootstrap theorems for probabilities that centered high-dimensional vector sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the probabilities that a root-n rescaled sample average of Xi is...
Persistent link: https://www.econbiz.de/10011525777
We investigate covariance matrix estimation in vast-dimensional spaces of 1,500 up to 2,000 stocks using fundamental factor models (FFMs). FFMs are the typical benchmark in the asset management industry and depart from the usual statistical factor models and the factor models with observed...
Persistent link: https://www.econbiz.de/10011949129
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A popular risk measure, conditional value-at-risk (CVaR), is called expected shortfall (ES) in financial applications. The research presented involved developing algorithms for the implementation of linear regression for estimating CVaR as a function of some factors. Such regression is called...
Persistent link: https://www.econbiz.de/10012025262
This paper rationalizes the LASSO algorithm based on uncertain fat-tail priors and max-min robust optimization. Our … rationalization excludes heuristic learning or restrictive prior assumptions in the original interpretation of LASSO (Tibshirani (1996 … reasonable range of ambiguous signals but respond linearly to almost unambiguous signals. With this LASSO equivalent strategy …
Persistent link: https://www.econbiz.de/10014235781
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