Complete Convergence for Weighted Sums of Widely Acceptable Random Variables under Sublinear Expectations

Hu, Rong; Wu, Qunying

doi:10.1155/2021/5526609

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…Since (3.1) implies E|X| r/q < ∞, by Markov's inequality under sublinear expectations ( cf. (9) in Hu and Wu [27]) and (4.3), we conclude that…”

Section: Proofs Of the Main Resultsmentioning

confidence: 59%

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Xu¹,

Cheng²

2021

Preprint

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We investigate the complete p-th moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete p-th moment convergence of weighted sums of independent, identically distributed random variables under sublinear expectations space, which complement the corresponding results obtained in Guo and Shan (2020).

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“…Since (3.1) implies E|X| r/q < ∞, by Markov's inequality under sublinear expectations ( cf. (9) in Hu and Wu [27]) and (4.3), we conclude that…”

Section: Proofs Of the Main Resultsmentioning

confidence: 59%

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Xu¹,

Cheng²

2021

Preprint

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Equivalent Conditions of Complete $p$ th Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

Cheng

2021

Discrete Dynamics in Nature and Society

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We investigate the complete p th moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete p th moment convergence of weighted sums of independent, identically distributed random variables under sublinear expectations space, which complement the corresponding results obtained in Guo and Shan (2020).

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Complete convergence and complete integral convergence for weighted sums of widely acceptable random variables under the sub-linear expectations

Jia¹,

Wu²

2022

MATH

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<abstract> <p>Since the concept of sub-linear expectation space was put forward, it has well supplemented the deficiency of the theoretical part of probability space. In this paper, we establish the complete convergence and complete integration convergence for weighted sums of widely acceptable (abbreviated as WA) random variables under the sub-linear expectations with the different conditions. We extend the complete moment convergence in probability space to sublinear expectation space.</p> </abstract>

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Complete Convergence for Weighted Sums of Widely Acceptable Random Variables under Sublinear Expectations

Cited by 3 publications

References 19 publications

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Equivalent Conditions of Complete $p$ th Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

Complete convergence and complete integral convergence for weighted sums of widely acceptable random variables under the sub-linear expectations

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Complete Convergence for Weighted Sums of Widely Acceptable Random Variables under Sublinear Expectations

Cited by 3 publications

References 19 publications

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Equivalent conditions of complete $p$-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Equivalent Conditions of Complete p th Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

Complete convergence and complete integral convergence for weighted sums of widely acceptable random variables under the sub-linear expectations

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Equivalent Conditions of Complete $p$ th Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations