Short Communications

Analysis of Some Limit Theorems for Large Deviations

I. S. Volkov

Moscow

Abstract: The asymptotic formulae obtained in [2] are examined. The term $\lambda_0[r(\alpha)]/r^\alpha(\alpha)$ is studied as a function of $\alpha$ and it is established that max $\lambda_0[r(\alpha)]/r^\alpha(\alpha)$, with probabilities $p_{ik}$ fixed, does not depend on the values of the random variables.

Received: 20.01.1960

 English version: Theory of Probability and its Applications, 1961, 6:3, 302–304