We consider a spatial generalized linear latent variable model with and without normality distributional assumption on the latent variables. When the latent variables are assumed to be multivariate normal, we apply a Laplace approximation. To relax the assumption of marginal normality in favor of a mixture of normals, we construct a multivariate density with Gaussian spatial dependence and give...

In all local realistic theories worked out till now, locality is considered as a basic assumption. Most people in the field consider the inconsistency between local realistic theories and quantum mechanics to be a result of non-local nature of quantum mechanics. In this paper, we derive Bell’s inequality for particles with instantaneous interactions, and show that the aforementioned contradicti...

The question of variable selection in a regression model is a major open research topic in econometrics. Traditionally two broad classes of methods have been used. One is sequential testing and the other is information criteria. The advent of large datasets used by institutions such as central banks has exacerbated this model selection problem. This paper provides a new solution in the context ...

A simultaneous flexible variable selection procedure is proposed by applying a basis pursuit method to the likelihood function. The basis functions are chosen to be compatible with variable selection in the context of smoothing spline ANOVA models. Since it is a generalized LASSO-type method, it enjoys the favorable property of shrinking coefficients and gives interpretable results. We derive a...

This article discusses solving non-linear programming problems containing integer, discrete and continuous variables. A novel mixed integer-discrete-continuous, non-linear optimization method based on Differential Evolution algorithm is described. Also the required handling techniques for integer, discrete and continuous variables are described including the techniques needed to handle boundary...

Non-linear latent variable models have become increasingly popular in a variety of applications. However, there has been little study on theoretical properties of these models. In this article, we study rates of posterior contraction in univariate density estimation for a class of non-linear latent variable models where unobserved U(0, 1) latent variables are related to the response variables v...

A general study of arbitrary finite-size coherent attacks against continuous-variable quantum cryptographic schemes is presented. It is shown that, if the size of the blocks that can be coherently attacked by an eavesdropper is fixed and much smaller than the key size, then the optimal attack for a given signal-to-noise ratio in the transmission line is an individual Gaussian attack. Consequent...

We have presented a more generalized model of interacting Chaplygin gas. The effective equation of states corresponding to matter and dark energy have been derived in this generalized model. Moreover, the case of phantom energy arises by putting some constraints on the parameters involved.

We consider harmonic functions with respect to the operator Lu(x) = ∫ [u(x+ h)− u(x)− 1(|h|≤1)h · ∇u(x)]n(x, h) dh. Under suitable conditions on n(x, h) we establish a Harnack inequality for functions that are nonnegative and harmonic in a domain. The operator L is allowed to be anisotropic and of variable order.

A one-paragraph abstractconsisting of no more than 250words (200 words in Policy Forumessays) must be included. It shouldstate the purpose of the study, basicprocedures used, main findings, andconclusions. Abbreviations. All nonstandardabbreviations must be listed inalphabetical order, giving eachabbrevia t ion fo l lowed by i t sspelled-out version. Spel...