Le poisson zèbre

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Poisson Perturbations Poisson Perturbations Poisson Perturbations *

Stein's method is used to prove approximations in total variation to the distributions of integer valued random variables by (possibly signed) compound Poisson measures. For sums of independent random variables, the results obtained are very explicit, and improve upon earlier work of Kruopis (1983) and Cekanavicius (1997); coupling methods are used to derive concrete expressions for the error b...

Fractional Poisson Process

For almost two centuries, Poisson process with memoryless property of corresponding exponential distribution served as the simplest, and yet one of the most important stochastic models. On the other hand, there are many processes that exhibit long memory (e.g., network traffic and other complex systems). It would be useful if one could generalize the standard Poisson process to include these p...

Le livre est tout le problème

The search into new ways of writing is confronted with certain obstacles, the foremost of which is that of the book and its conventions inherited from 536 years of existence. Yet, literature is by in large independent of the particular medium that is the book, as reminds us the age-old oral tradition or the contemporary research of the Oulipo. The incursion of the computer into literature has t...

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