This paper considers coorbit spaces parametrized by mixed, weighted Lebesgue with respect to the quasi-regular representation of semi-direct product Euclidean space and a suitable matrix dilation group. The class groups that we allow, so-called integrably admissible groups, contains yielding an irreducible, square-integrable as proper subclass. obtained scale extends therefore well-studied wave...

A pinnacle of a permutation is value that larger than its immediate neighbors when written in one-line notation. In this paper, we build on previous work characterized admissible sets permutations. For these sets, there can be specific orderings the pinnacles are not admissible, meaning they realized by any permutation. Here characterize orderings, using relationship between x and rank set to b...

In this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. We obtain the classes of admissible estimators. The result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized Laplace and other distributions.