The purpose of the present note is to exhibit conditions under which a local limit theorem holds for some classes of lattice random variables, the distributions of which are attracted to a stable law. In this connection we shall make use of an integral theorem proven by ]3. A. logosin in the paper [1].Consider a sequence of independeat random variables, taking only integer values
The abstracts (in two languages) can be found in the pdf file of the article.
Original author name(s) and title in Russian and Lithuanian:
А. А. Миталаускас, В. А. Статулявичюс. Локальны е предельные теоремы и асимптотические разложения для сумм независимых решетчатых случайных величин
A. Mitalauskas, V. Statulevičius. Lokalinė ribinė teorema ir asimptotinis išdėstymas nepriklausomų rėtinių atsitiktinių dydžių sumom
The abstracts (in two languages) can be found in the pdf file of the article.
Original author name(s) and title in Russian and Lithuanian:
А. А. Миталаускас. Оценка остаточного члена в интегральной предельной теореме в случае сходимости к устойчивому закону
A. Mitalauskas. Liekamojo nario įvertinimas integralinėje ribinėje teoremoje konvergavimo į stabilų dėsnį atveju
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