7 problems

Let the maximum likelihood estimator (MLE) be used for the local Poisson deconvolution model with a Gaussian kernel. Let the regime $m\to\infty$ denote the asymptotic regime in whi…

Let $\theta_t$ denote the parameter process in the self-organizing state-space model, and let $C_t$ be the time-dependent constants appearing in Corollary 2, Theorem 2 and Theorem…

Consider the one-way layout … where $i=1,,,q$, $j=1,,,n_i$, the random effects satisfy $_i\boldsymbol{sim}(0,)$, the errors satisfy $_{ij}\boldsymbol{sim}(0,)$, and all these varia…

In phylogenetic tree inference, a method is hereditary when the optimal tree inferred on a set of taxa has appropriate optimal restrictions on smaller subsets of taxa. The paper co…

Let $f_0$ be the true density in the class of $d$-dimensional scale mixtures of uniform densities, let $\widehat{f}_n$ be its maximum likelihood estimator, and let $P_0$ denote pro…

Let $V$ be the finite set of agents, let $X_v(t)$ denote the estimator held by agent $v\in V$ at iteration $t$, and let $X(\infty)$ be a common limiting estimator. Convergence conj…

Hayashi's conjecture. A sufficient condition for asymptotic normality of $(\hat{\boldsymbol{\delta}},\hat{\gamma})$ is that