7 problems

Let $f_\circ(\theta;\lambda_1,\ldots,\lambda_n)$ be a circular distribution, let $f^{\{r\}}_\circ$ denote the turning-angle distribution obtained after sub-sampling every $r$ steps…

Let the assumptions in Crefrange{asm:model}{asm:feat} hold. Define $\phi_n=p/n$. Let $k\le n$ be the subsample size and set $\bar{\psi}_n=p/k$. Suppose that $\varphi$ satisfies cer…

Let $\hat{\boldsymbol{\theta}}_{\boldsymbol{\mu}}^{(k)}$ be the pooled estimator after $k$ sampling stages, based on subsample sizes $n_k$, from a finite population of size $N$. Th…

Weak-condition block bootstrap conjecture. The block bootstrap might be established under non-stationarity using the same weak moment and mixing conditions as the subsampling estim…

Convolved subsampling conjecture. Convolved subsampling might provide a route for establishing the block bootstrap under minimal conditions for non-stationary, strongly mixing proc…

Let $a$ of the $n$ observations be selected either by subsampling or by the $a$ out of $n$ bootstrap, and consider the corresponding pure forests. Table describes the relevant comp…

The data consist of observations $W_t=(V_t,X_t)$, where $V_t$ is the transformed outcome used in the extremal quantile regression analysis and $X_t$ is the regressor vector. The pr…