Limiting behavior of delayed sums under a non-identically distribution setup

Abstract

We present an accurate description the limiting behavior of delayed sums under a non-identically distribution setup, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji (Theory of Probability and its Applications, 37 (1992), 534-542).Apresentamos uma descrição precisa do comportamento limite de somas retardadas, e deduzimos leis do tipo Chover de logaritmo iterado para as mesmas. Isso completa e estende os resultados de Vasudeva e Divanji (Theory of Probability and its Aplications, 37 (1992), 534-542).

Keywords

• distribuição estável
• leis do logaritmo iterado
• somas retardadas
• stable distribution
• laws of iterated logarithm
• delayed sum