10 problems

Consider the empirical bootstrap and the independence bootstrap in the independence and regression settings, with sample size $n$ and parameter $b$. The empirical bootstrap is pair…

Equality-of-solutions conjecture. The $(g,g,g)$ and $(g,-g,g)$ two-matrix models have the same unique solution satisfying the positivity constraints.

Trajectory-bootstrap conjecture. The exact solution is located around

A sequential HAL-TMLE estimates a target parameter through recursively defined nuisance parameters, where each regression is fitted using a highly adaptive lasso (HAL) regression a…

Lee–Linton–Whang's bootstrap conjecture. A bootstrap resampling method should yield a test whose size error decreases polynomially fast in $n$.

Consider the conditional-copula test statistics and their bootstrapped versions, including the nonparametric-bootstrap constructions described in the paper. Let the other resamplin…

Let the conditional-copula tests be evaluated by bootstrap methods, and let the alternative resampling schemes be those proposed in Subsection. Bootstrap validity conjecture. The i…

Consider the bootstrap framework for control charts with estimated parameters and unknown in-control distributions, whose applicability requires the conditions of the paper's main…

Let $(Y,X)$ denote an observation from a distribution $F$, let $\xi$ be the regression parameter, and consider monitoring schemes based on the residual $Y-X\xi$. Assume that the cd…

The resampling scheme uses independent standard normal variables $W_{n1},\dots,W_{nn}$ and resampled parameters obtained from the corresponding normal observations. The functions…