On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables
André Adler
Abstract
Open-access reader
André Adler
Abstract
Open-access reader
For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.
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For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.
Key concepts: Mathematics, Independent and identically distributed random variables, Law of the iterated logarithm, Iterated logarithm, Logarithm, Iterated function, Random variable, Pure mathematics