Two-sided expansions of monoids

two- sided power distribution

In this paper, a new family of distributions with many applications in financial engineering have been introduced. This distribution contains important statistical distributions such as the triangular, exponential and uniform distribution. Initially considered a special case of this distribution And then survey The important features of it. How to calculate maximum likelihood estimates are pres...

Linear preservers of two-sided matrix majorization

For vectors X, <span style="fon...

Series Expansions of Lyapunov Exponents and Forgetful Monoids

We consider Lyapunov exponents of random iterates of monotone homogeneous maps. We assume that the images of some iterates are lines, with positive probability. Using this memoryloss property which holds generically for random products of matrices over the max-plus semiring, and in particular, for Tetris-like heaps of pieces models, we give a series expansion formula for the Lyapunov exponent, ...

One - sided Versus Two - sided Error in

On one-sided versus two-sided classification

One-sided classiiers are computable devices which read the characteristic function of a set and output a sequence of guesses which converges to 1 ii the set on the input belongs to the given class. Such a classiier is two-sided if the sequence of its output in addition converges to 0 on sets not belonging to the class. The present work obtains the below mentioned results for one-sided classes (...