6 problems
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Conjecture on analogous results for stochastic rounding schemes
Stochastic rounding schemes assign offspring counts with the stated floor-and-ceiling probabilities; systematic resampling is one such scheme and closely resembles stratified resam…
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Conjecture on resampling-based bias correction using the symmetric 1-step correction
The paper studies higher-order bias corrections for conditional quantile regression estimators and develops Bahadur–Kiefer expansions for comparing resampling procedures. Resamplin…
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Conjecture on resampling bias-corrected residuals for valid inference
Consider a linear regression model with many covariates and heteroskedasticity. Let denote the bias-corrected squared residuals introduced in Remark 1, and le…
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Conjecture on valid resampling procedures in many-covariate linear regression
Consider linear regression models with many covariates and heteroskedastic errors, and let denote the number of covariates and the sample size. Resampling procedures incl…
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The model-consistency conjecture for resampling penalization
Let RP denote resampling penalization, let be an exchangeable resampling weight, and let denote the corresponding weight-dependent quantity. A model-selection procedure i…
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The general-framework efficiency conjecture for resampling penalization
Let be i.i.d. observations in a heteroscedastic regression model, and let resampling penalization (RP) select among statistical models. In the paper's r…