Let X,, , X, be a sequence of independent and identically distributed random variables with an unknown underlying continuous cumulative distribution function F. Relative to this unknown distribution function suppose one would like to test a null hypothesis concerning the goodness of fit of F to some distribution function using symmetric functions of sample spacings. In some applications the nul...

June 1, 2010 Version 0.7-0 Date 2010-04-07 Title Non-supervised Regional Frequency Analysis Author Alberto Viglione Maintainer Alberto Viglione Depends stats, graphics Description A collection of statistical tools for objective (non-supervised) applications of the Regional Frequency Analysis methods in hydrology. The package refers to the index-value method and, mo...

It seems to be a platitude that belief is governed by a norm of truth. Isn’t the point of belief to believe truths ? Isn’t it a requirement of believing that we should not believe falsehoods? A number of philosophers, however, deny this. Although they recognise that there is an intimate connection between belief and truth, they reject the idea that this connection is normative. Indeed, they tel...

MESERVEY, R., 1971. The coastline fit of Africa and South America. Palaeogeography, Palaeoclimatol., Palaeoecol., 9: 233-243. It has become axiomatic that the pre-drift reconstruction of Africa and South America is to be made by fitting together the continental shelves. Although this procedure is very plausible, actually the detailed fit of the coastlines is better than that of the shelves and ...

A proposal is made to employ stochastic models, based on diffusion processes, represent the evolution of SARS-CoV-2 virus pandemic. Specifically, two processes are proposed whose mean functions obey multi-sigmoidal Gompertz and Weibull-type patterns. Both constructed by introducing polynomial in ordinary differential equations that originate classical Weibull curves. The estimation parameters a...

We exhibit a novel way of simulating sigmoidal neural nets by networks of noisy spiking neurons in temporal coding. Furthermore it is shown that networks of noisy spiking neurons with temporal coding have a strictly larger computational power than sigmoidal neural nets with the same number of units.

Latent random variables can be useful for modelling covariance relationships between observed variables. The choice of whether speciic latent variables ought to be continuous or discrete is often an arbitrary one. In a previous paper, I presented a \unit" that could adapt to be continuous or binary, as appropriate for the current problem, and showed how a Markov chain Monte Carlo method could b...

Pattern recognition methods can be divided into four di erent categories: statistical or probabilistic, structural, possibilistic or fuzzy, and neural methods. A formal analysis shows that there is a computational complexity versus representational power trade-o between probabilistic and possibilistic or fuzzy set measures, in general. Furthermore, sigmoidal theory shows that fuzzy set membersh...