8 problems

Let a transformation model have a parameter $\psi$ and suppose it admits a $\psi$-symmetric parametrization, with antisymmetry defined as in Definition. Antisymmetry conjecture. An…

Fixed-design validity conjecture. For the fixed design, these theoretical results are still valid under appropriate regularity conditions.

Conjecture on the convergence rate. This rate may not be sharp for the estimator $\widehat{\boldsymbol{\beta}}$; there may be room for improvement.

Conjecture on the convergence rate. This rate may not be optimal; the best rate may be $O_p(n^{-1/2})$.

Consider the heteroscedastic transformation model discussed in the paper, and let a pretransformation of the response $Y$ by its empirical distribution function $\hat{F}_Y$ be appl…

Let $d_{\mathbf{X}}$ denote the dimension of the covariate vector, and consider the convergence results of the lemmas described in the surrounding discussion, which currently requi…

Consider a goodness-of-fit test for a semiparametric transformation model based on the marked empirical process, with the transformation estimated from the data. Transformation-est…

Let a semiparametric transformation model use an estimated transformation parameter, and consider a goodness-of-fit test based on an empirical characteristic function. Transformati…