Strong Renewal Theorem and Local Limit Theorem in the Absence of Regular Variation
نویسندگان
چکیده
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to domain of geometric partial attraction semistable law index $$\alpha \in (1/2,1]$$ . In process we local limit theorems for both finite and mean, that is, whole range (0,2)$$ also derive asymptotics function (0,1]$$
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2021
ISSN: ['1572-9230', '0894-9840']
DOI: https://doi.org/10.1007/s10959-021-01081-w