We propose a standard approach to make inference for spatial generalized linear mixed models using Laplace approximation. Based on analysis of two datasets previous analysed in literature, we compare our approach with different approaches. The first the rhizoctonia root rot dataset is an example of Binomial SGLMM and the second rongelap dataset is an example of Poisson or Negative Binomial SGLM...

‎This paper presents a new mixture model via considering the univariate skew Laplace distribution‎. ‎The new model can handle both heavy tails and skewness and is multimodal‎. ‎Describing some properties of the proposed model‎, ‎we present a feasible EM algorithm for iteratively‎ ‎computing maximum likelihood estimates‎. ‎We also derive the observ...

1-type and biharmonic curves by using laplace operator in lorentzian 3-space arestudied and some theorems and characterizations are given for these curves.

small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. non-fourier heat transfer overcomes some shortcomings of fourier heat tran...

We present a novel method for approximate inference in Bayesian models and regularized risk functionals. It is based on the propagation of mean and variance derived from the Laplace approximation of conditional probabilities in factorizing distributions, much akin to Minka’s Expectation Propagation. In the jointly normal case, it coincides with the latter and belief propagation, whereas in the ...

We have seen before that Fourier analysis is very useful in the study of signals and linear and time invariant (LTI) systems. The main reason is that a lot of signals can be expressed as a linear combination of complex exponentials of the form e with s = jw. There are many properties that still apply when s is not restricted to be pure imaginary. That is why we introduce a generalization of the...

A framework allowing for perturbative calculations to be carried out for quantum field theories with arbitrary smoothly curved boundaries is described. It is based on an expansion of the Green function for second order differential operators valid in the neighbourhood of the boundary and which is obtained from a corresponding expansion of of the associated heat kernel derived earlier for arbitr...

This article presents the solution of fractional SIR epidemic model using Laplace residual power series method. We introduce in sense Caputo’s derivative; it is presented by three differential equations, which third one depends on first coupled equations. The method (LRPSM) implemented this research to solve proposed model, we present a form convergent expansion that converges rapidly exact one...

In this paper we consider the expansion properties and spectrum of combinatorial Laplace operator a d-dimensional Linial–Meshulam random simplicial complex, above cohomological connectivity threshold. We spectral gap Cheeger constant as was introduced by Parzanchevski, Rosenthal, Tessler. show that with high probability complex well are both concentrated around minimum co-degree among all -face...

Let M=Γ∖Hd+1 be a geometrically finite hyperbolic manifold with critical exponent exceeding d∕2. We obtain precise asymptotic expansion of the matrix coefficients for geodesic flow in L2(T1(M)), exponential error term essentially as good one given by spectral gap Laplace operator on L2(M) due to Lax and Phillips. Combined work Bourgain, Gamburd, Sarnak its generalization Golsefidy Varjú expande...