We consider the asymptotic behavior of additive functionals of linear processes with infinite variance innovations. Applying the central limit theory for Markov chains, we establish asymptotic normality for short-range dependent processes. A non-central limit theorem is obtained when the processes are long-range dependent and the innovations are in the domain of attraction of stable laws.

We consider conditioned Galton–Watson trees and show asymptotic normality of additive functionals that are defined by toll functions that are not too large. This includes, as a special case, asymptotic normality of the number of fringe subtrees isomorphic to any given tree, and joint asymptotic normality for several such subtree counts. The offspring distribution defining the random tree is ass...

In this paper, two controllers are developed for a class of MIMO nonlinear systems. First, a robust adaptive controlleris proposed and proven to yield semi-global asymptotic tracking in the presence of additive disturbances and parametricuncertainty. In addition to guaranteeing an asymptotic output tracking result, it is also proven that the parameter estimatevector is driven to...

In this summary we introduce a successful analogue of the classical Egoroff theorem for non-additive measures with values in a Riesz space having the asymptotic Egoroff property.

The periodontal ligament (PDL) is a fibrous connective tissue that anchors tooth cementum into alveolar bone. Secreted protein acidic and rich in cysteine (SPARC) is a collagen-binding matricellular protein known to influence collagen fiber assembly in the PDL. In contrast, functional properties of the N-propeptide of collagen I, encoded in exon 2 of the COL1A1 gene, are poorly understood. In t...

Emerin and LEM2 are ubiquitous inner nuclear membrane proteins conserved from humans to Caenorhabditis elegans. Loss of human emerin causes Emery-Dreifuss muscular dystrophy (EDMD). To test the roles of emerin and LEM2 in somatic cells, we used null alleles of both genes to generate C. elegans animals that were either hypomorphic (LEM-2-null and heterozygous for Ce-emerin) or null for both prot...

We study analytically the asymptotic late-time evolution of realistic rotating collapse. This is done by considering the asymptotic late-time solutions of Teukolsky’s master equation, which governs the evolution of gravitational, electromagnetic, neutrino and scalar perturbations fields on Kerr spacetimes. In accordance with the no-hair conjecture for rotating black-holes we show that the asymp...

The present article proposes general single-step multiple testing procedures for controlling Type I error rates defined as arbitrary parameters of the distribution of the number of Type I errors, such as the generalized family-wise error rate. A key feature of our approach is the test statistics null distribution (rather than data generating null distribution) used to derive cut-offs (i.e., rej...

In R/qtl version 1.04, the functions summary.scantwo and plot.scantwo have been changed quite substantially. Also, the permutations with scantwo have been changed to match the new format for summary.scantwo. In this document, I describe the revisions and how to use the new functions. We'll look at the hyper data as an example. First we need to load the package and the data. > library(qtl) > dat...