11 problems

The setting is sequential changepoint detection using a survival-analysis–based approach, including Kaplan–Meier estimators for average run length and detection delay. Extension co…

Let $V^n$ and $U^n$ be the system-reliability and survivor-count value functions defined for $x=(x_1,\ldots,x_n)\in\mathbb R^n_+$ by … and … where $\mathcal A_n$ is the set of prog…

Criterion-function efficiency conjecture. Such criterion functions also result in consistent estimators, but the estimators make different statistical efficiency trade-offs, since…

Let $\Sigma$ denote the asymptotic covariance matrix in the pseudo-observation regression setting, and let … be the Huber--White-type estimator. Overgaard's conjecture. This estima…

In pseudo-observation regression, let the usual Huber--White-type sandwich estimator refer to the variance estimator used for estimating-regression parameters from pseudo-observati…

Censoring-rate conjecture. The observed difference in how censoring affects estimation error for $\beta_0$ and for $\Lambda_0(\cdot)$ is due to differences in whether the non-priva…

Let $n$ denote the sample size, and let the convex/concave component be estimated under the $L_{2}(P)$ norm, where $P$ is the relevant covariate distribution. Minimax lower-bound c…

Let structural nested accelerated/cumulative failure time models describe counterfactual failure times, and suppose treatment and covariate histories evolve as continuous-time proc…

Let $n_1,n_2$ be the sample sizes, let $\tau_{0,i}$ and $\tau_i$ denote the truncation and censoring horizons for group $i$, and let $a_n$, $\hat m^\pi$, and $\hat{\sigma}^\pi$ be…

Applicability conjecture. The general theory is conjectured to remain applicable to survival analysis models with censoring.

Let $S_C$ denote the censoring survival function, and consider estimators of the prediction risk under random censorship. Low-variance censoring-estimator conjecture. Low-variance…