Deficiencies Between Linear Normal Experiments

Deficiency Distance between Multinomial and Multivariate Normal Experiments

The deficiency distance between a multinomial and a multivariate normal experiment is bounded under a condition that the parameters are bounded away from zero. This result can be used as a key step in establishing asymptotic normal approximations to nonparametric density estimation experiments. The bound relies on the recursive construction of explicit Markov kernels that can be used to reprodu...

Numerical Experiments with the LLL-Based Hermite Normal Form Algorithm for Solving Linear Diophantine Systems

In this paper we are concerned with the practical performance of the LLL-based Hermite normal form algorithm, proposed by Havas [13] (LLLHMM) when applied to solve linear Diophantine systems. We first compare the efficiency of the LLLHMM with the algorithm, named LDSSBR, based on the Rosser’s idea. The numerical results show that for small problems, the bit length of the longest integer occurri...

Experiments for Non - Linear Functions

Experiments in Linear Natural Deduction

We investigate several fragments of multiplicative linear logic, in a natural deduction setting and with the aim of a better understanding of the par connective. We study, first, a pre-tensorial calculus, which is strengthened then in the standard tensorial fragment. The addition of a further pre-tensorial connective yields (a natural deduction version of) Full Intuitionistic Linear Logic. A fu...

Linear regression, the normal distribution of error values or normal distribution of the dependent variable?

This article has no abstract.