We study the mixing time of random graphs in the d-dimensional toric unit cube [0, 1] generated by the geographical threshold graph (GTG) model, a generalization of random geometric graphs (RGG). In a GTG, nodes are distributed in a Euclidean space, and edges are assigned according to a threshold function involving the distance between nodes as well as randomly chosen node weights, drawn from s...

In this study, we employ a recently developed econometric technique of the threshold model with the GJR-GARCH process on error terms to investigate the relationships between weather factors and stock market returns in Taiwan using daily data for the period of 1 July 1997–22 October 2003. The major weather factors studied include temperature, humidity, and cloud cover. Our empirical evidence sho...

Recently, Starns et al. (2008) collected source judgments for old items, which participants had claimed to be new, and found residual source discriminability depending on the old-new response bias. The finding was interpreted as evidence in favor of the multivariate signal-detection model but against the high-threshold model of source memory. According to the latter, “new” responses only follow...

One of the main issues in the statistical literature of extremes concerns the tail index estimation, closely linked to the determination of a threshold above which a Generalized Pareto Distribution (GPD) can be fitted. Approaches to this estimation may be classified into two classes, one using standard Peak Over Threshold (POT) methods, in which the threshold to estimate the tail is chosen grap...

The question of how clustering (nonzero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent advances in modeling highly clustered networks are employed here to analytically study the bond percolation threshold. In comparison to the threshold in an unclustered network with the same degree distribution and corre...

Methods We compared four bioclimatic variables [actual evapotranspiration (AET), water deficit (DEF), mean temperature of the coldest month (MTCO), and growing degree-days (GDD5)] with the distribution of T. heterophylla at a 2-km grid cell resolution. The distribution is based on a zonal ecosystem classification where T. heterophylla is the dominant late-successional species. For each bioclima...

In femtosecond laser ophthalmic surgery tissue dissection is achieved by photodisruption based on laser induced optical breakdown. In order to minimize collateral damage to the eye laser surgery systems should be optimized towards the lowest possible energy threshold for photodisruption. However, optical aberrations of the eye and the laser system distort the irradiance distribution from an ide...

The output distribution formula for stack filters based on mirrored threshold decomposition is derived. This formula allows one to compute the cumulative distribution function of the output of a stack filter for a given independent and identically distributed (i.i.d.) input noise distribution. Mirrored threshold decomposition permits us to analyze the input–output characteristics of the stack f...

This paper addresses the problem of the evaluation of the delay distribution via analytical means in IEEE 802.11 wireless ad hoc networks. We show that the asymptotic delay distribution can be expressed as a power law. Based on the latter result, we present a cross-layer delay estimation protocol and we derive new delay distribution based routing algorithms, which are well adapted to the QoS re...