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Cosmology is in a golden age, and some experiments of high complexity are running up or have been proposed in order to know about the properties of our Universe and test theoretical cosmological models. So, it is pertinent to study some of these models and confront them with observations. In this book we use the N formalism to study the statistical descriptors for some cosmological inflationary models that allow us to obtain large levels of non-gaussianity and violations of the statistical isotropy. Basically, we study two different classes of models: a class of models that includes only...