Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough

В заметке приведены наиболее общие на сегодняшний день условия, при которых имеет место классическая асимптотика вероятностей малых уклонений взвешенной суммы независимых положительных случайных величин, общая функция распределения которых может убывать в нуле, в частности, экспоненциально быстро.

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Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough

Cited by 3 publications

References 16 publications

Small Ball Probabilities for Certain Gaussian Random Fields

Small Ball Probabilities for Certain Gaussian Random Fields

Small Deviation Probabilities for a Weighted Sum of Independent Positive Random Variables with Common Distribution Function That Can Decrease at Zero Fast Enough

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