4 problems

In the interval-censoring setting, let the NPMLE denote the nonparametric maximum likelihood estimator of the distribution function, and suppose that the NPMLE has $sqrt n$-converg…

Consider independent observations from the gamma distribution with shape parameter $\theta>0$ and scale $\beta=1$, and let $T=\overline{\ln(X)}$ be sufficient. Define the fiducial…

Order-invariance conjecture. Asymptotic fiducial distributions are invariant to the ordering of the parameters and can always be derived through the standard delta method.

Let an FD model have RD's $F_r(x\mid\theta)$. Let $g(x)\equiv y$ and/or $h(\theta)\equiv\phi$ be composite variables, meaning that the relevant function is not continuous and stric…