We propose a novel estimator for the number of mixture components (denoted by M) in nonparametric finite model. The setting that we consider is one where analyst has repeated observations K?2 variables are conditionally independent given finitely supported latent variable with M support points. Under mild assumption on joint distribution observed and variables, show an integral operator T ident...

We demonstrate an equivalence between the rank 2 fragments of the polymorphic lambda calculus (System F) and the intersection type discipline: exactly the same terms are typable in each system. An immediate consequence is that typability in the rank 2 intersection system is DEXPTIME-complete. We introduce a rank 2 system combining intersections and polymorphism, and prove that it types exactly ...

We introduce a test of the rank invariance or rank similarity assumption common in treatment effects and instrumental variables models. The test probes the implication that the conditional distribution of ranks should be identical across treatment states using a regression-based test statistic. When justified by the test, natural extensions of rank similarity partially identify the distribution...

Gaps created by falling trees (tree-fall gaps) are a natural disturbance in forest ecosystems. Understanding scale, pattern and the effect of gaps on regeneration is important to current and future forest management. The aim of this study was to determine the size, shape and the spatial pattern of tree-fall gaps and of associated regeneration. This study was carried out in three parcels (No.15,...

We use the rank–frequency analysis for the estimation of Kernel Vocabulary size within specific corpora of Ukrainian. The extrapolation of high-rank behaviour is utilized for estimation of the total vocabulary size.

We use the rank{frequency analysis for the estimation of Kernel Vocabulary size within speci c corpora of Ukrainian. The extrapolation of high-rank behaviour is utilized for estimation of the total vocabulary size.