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A criterion of quasi-infinite divisibility for discrete laws

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  • Khartov, A.A.

Abstract

We consider arbitrary discrete probability laws on the real line. We obtain a criterion of their belonging to a new class of quasi-infinitely divisible laws, which is a wide natural extension of the class of well known infinitely divisible laws through the Lévy type representations.

Suggested Citation

  • Khartov, A.A., 2022. "A criterion of quasi-infinite divisibility for discrete laws," Statistics & Probability Letters, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:stapro:v:185:y:2022:i:c:s0167715222000426
    DOI: 10.1016/j.spl.2022.109436
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    References listed on IDEAS

    as
    1. Khartov, A.A., 2019. "Compactness criteria for quasi-infinitely divisible distributions on the integers," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 1-6.
    2. Zhang, Huiming & Liu, Yunxiao & Li, Bo, 2014. "Notes on discrete compound Poisson model with applications to risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 325-336.
    3. Kutlu, Merve, 2021. "On a denseness result for quasi-infinitely divisible distributions," Statistics & Probability Letters, Elsevier, vol. 176(C).
    4. David Berger, 2019. "On quasi‐infinitely divisible distributions with a point mass," Mathematische Nachrichten, Wiley Blackwell, vol. 292(8), pages 1674-1684, August.
    Full references (including those not matched with items on IDEAS)

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