Spatial generalized linear mixed models are used commonly for modelling non-Gaussian discrete spatial responses. We present an algorithm for parameter estimation of the models using Laplace approximation of likelihood function. In these models, the spatial correlation structure of data is carried out by random effects or latent variables. In most spatial analysis, it is assumed that rando...

Most real world engineering design problems, such as cross-country water mains, include combinations of continuous, discrete, and binary value decision variables. Very often, the binary decision variables associate with the presence and/or absence of some nominated alternatives or project’s components. This study extends an existing continuous Ant Colony Optimization (ACO) algorithm to simultan...

Kernel Machines, such as Support Vector Machines, have been frequently used, with considerable success, in situations in which the input variables were real values. Lately, these methods have also been extended to deal with discrete data such as string characters, microarray gene expressions, biosequences, etc. In this contribution we describe a new kernel allowing kernel machines to be applied...

Suppose a city’s traffic engineering department monitors a certain intersection during a one-hour period in the middle of the day. Many characteristics might be of interest to the observers, including the number of vehicles that enter the intersection, the largest number of vehicles in the left turn lane during a signal cycle, the speed of the fastest vehicle going through the intersection, the...

This paper contains an extension of the identification method proposed in Jun, Pinkse, and Xu (2009, JPX), which is based on a generated collection of sets, i.e. a Dynkin system. We demonstrate the usefulness of this extension in the context of the model proposed by Vytlacil and Yıldız (2007, VY). VY formulate a fully nonparametric model featuring a nested weakly separable structure in which an...

Equilibrium in Economics has been seldom addressed in a situation where some variables are discrete. This work introduces a problem related to lot-sizing with several players, and analyses some strategies which are likely to be found in real world games. An illustration with a simple example is presented, with concerns about the difficulty of the problem and computation possibilities.