Abstract:
In the paper there are given some applications of Yu. V. Linnik theorem and a result by B. Ramachandran and C. R. Rao to obtain necessary conditions for the convergence in special limit theorems. The case of convergence of sums of random number of random variables is considered too.
Key words and phrases:Linnik's theorem, existence of moments, necessary conditions forconvergence, strongly monotone operators.
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