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Studying relationships between recursion theory and categorical theory, can find properties of the recursive universe that can be represented by universal properties. It is possible to generalize in some respects this universe to search examples of recursive properties that are not from the arithmetical universe and well understood from other perspectives, the Gödel's incompleteness theorem. [ABSTRACT FROM AUTHOR]

If the deterministic component of Bhargava equations (1986) is estimated by the recursive adjustment of Shin and So (2001), then the Shin-So Dickey-Fuller test (DFSS) has a better statistical power. If the procedure is also subjected to the Taylor filter (2002), then the DFSS test is robust when there are random breakdowns in an aleatorial path with interception. Therefore, this procedure should be used in econometric analysis, especially when the existence of an initial break in the stochastic process under the null hypothesis is known; as in the case of a speculative attack on currency. [ABSTRACT FROM AUTHOR]

This study analyzes the ability of the recursive dynamics multivaried models constructed through genetic algorithms and the recursive neuronal networks to predict the sign of the IPSA's weekly changes. The data correspond to the period between July 14, 1997 and December 9, 2002. The analyzed models were evaluated in 60 series generated by a block-bootstrap process. The results indicate that the network ward would have better forecast ability than the genetic algorithms model and the naive model to predict the sign of the IPSA's changes. The network ward and the genetic algorithms models surpassed, in average, the buy and hold strategy, even when a transaction cost of 0.1% is considered. [ABSTRACT FROM AUTHOR]