The recent past has seen an increased interest in piecewise linear real exchange rate models. By invoking Heckscher’s (1916) ’commodity points’ it has been argued that a threshold autoregressive (TAR) model should be used to study movements in the real exchange rate. This paper examines the problems of fitting TAR models to real exchange rates. We find that the power of the tests for TAR behavi...

This note considers the small sample performance of the conditional least squares estimator of the threshold parameters in nonlinear threshold and particularly self exciting threshold autoregressive (SETAR) models. It is shown that despite the superconsistency of the threshold parameter estimates the estimator performs poorly in samples of sizes usually encountered in macroeconomics.  2000 Els...

We use the linear threshold model to study the diffusion of information on a network generated by the stochastic block model. We focus our analysis on a two-community structure where the initial set of informed nodes lies only in one of the two communities and we look for optimal network structures, i.e., those maximizing the asymptotic extent of the diffusion. We find that, constraining the me...

We define a new structured and general model of computation: circuits using arbitrary fan-in arithmetic gates over the characteristic-two finite fields (F,:,). These circuits have only one input and one output. We show how they correspond naturally to boolean computations with n inputs and n outputs. We show that if circuit sizes are polynomially related, then the arithmetic circuit depth and t...

Many nonlinear time series models have been proposed in the last decades. Among them, the models with regime switchings provide a class of versatile and interpretable models which have received a particular attention in the literature. In this paper, we consider a large family of such models which generalize the well known Markov-switching AutoRegressive (MS-AR) by allowing non-homogeneous swit...

In this paper we solve the problem of secure communication in multicast graphs, which has been open for over a decade. At Eurocrypt ’98, Franklin and Wright initiated the study of secure communication against a Byzantine adversary on multicast channels in a neighbor network setting. Their model requires node-disjoint and neighbor-disjoint paths between a sender and a receiver. This requirement ...

We investigate the stability, in terms of V -uniform ergodicity or transience, of cyclic threshold autoregressive time series models. These models cycle through one of a number of collections of subregions of the state space when the process is large. Our results can be applied in cases where the model has multiple cycles and/or affine thresholds. The bounds on the parameter space are sharper t...

In this paper we show an application of indistinguishability operators to model response functions. Such functions are used in the mathematical modeling of the task allocation problem in multi-agent systems when the stimulus, perceived by the agent, to perform a task is assessed by means of the response threshold model. In particular, we propose this kind of operators to represent a response fu...

Abstract We investigate the growth effects of financial globalization, giving particular consideration to potential conditionality of these growth effects on the level of a country’s institutional and financial market development. To capture such conditionality, we extend recently developed heterogeneous dynamic panel data models to account for bivariate long-run conditional parameter homogenei...

(1) Page 3812: line 18:"The threshold diameter in the hybrid model of 2.5 um seems too high, which could introduce appreciable errors in the predicted distribution of nitrate. This diameter was typically set at 1 um in some of the previous studies. A discussion on the sensitivity of the results to the threshold diameter is warranted to ensure that the errors due to this assumption are acceptable."