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Characterization theorems for Q-independent random variables with values in a Banach space

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  • Myronyuk, Margaryta

Abstract

We prove some analogues of the Skitovich–Darmois, Heyde characterization theorems and other theorems of mathematical statistics for Q-independent random variables with values in a Banach space.

Suggested Citation

  • Myronyuk, Margaryta, 2021. "Characterization theorems for Q-independent random variables with values in a Banach space," Statistics & Probability Letters, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:stapro:v:168:y:2021:i:c:s0167715220302492
    DOI: 10.1016/j.spl.2020.108946
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    References listed on IDEAS

    as
    1. Myronyuk, Margaryta, 2019. "Characterization of distributions of Q-independent random variables on locally compact Abelian groups," Statistics & Probability Letters, Elsevier, vol. 152(C), pages 82-88.
    2. Il’inskii, Alexander, 2018. "On notions of Q-independence and Q-identical distributiveness," Statistics & Probability Letters, Elsevier, vol. 140(C), pages 33-36.
    3. Kagan, Abram M. & Székely, Gábor J., 2016. "An analytic generalization of independence and identical distributiveness," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 244-248.
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