La variance empirique peut-elle être égale à zéro ?
On Mieshalkin-Rogozin theorem and some properties of the second kind beta distribution
The decomposition of the r.v. X with the beta second kind distribution in the form of finite (formula (9), Theorem 1) and infinity products (formula (17), Theorem 2 and form (21), Theorem 3) are presented. Next applying Mieshalkin - Rogozin theorem we receive the estimation of the difference of two c.d.f. F(x) and G(x) when sup|f(t) - g(t)| is known, improving the result of Gnedenko - Kolmogorov (formulae (23) and (24)).
On Decompositions of Some Random Variables.
On some representation of the density function gamma type
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