# STRONG STABILITY OF A TYPE OF JAMISON WEIGHTED SUMS FOR END RANDOM VARIABLES

• Yan, Jigao
• Published : 2017.05.01
• 14 7

#### Abstract

In this paper, we consider the strong stability of a type of Jamison weighted sums, which not only extend the corresponding result of Jamison etc. [13] from i.i.d. case to END random variables, but also obtain the necessary and sufficient results. As an important consequence, we present the result of SLLN as that of i.i.d. case.

#### Keywords

extended negatively dependent;weighted sums;strong stability

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#### Cited by

1. Almost sure convergence for weighted sums of WNOD random variables and its applications to nonparametric regression models 2017, https://doi.org/10.1080/03610926.2017.1364390
2. On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and Its Applications pp.1532-415X, 2018, https://doi.org/10.1080/03610926.2018.1508709
3. Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables vol.34, pp.10, 2018, https://doi.org/10.1007/s10114-018-7133-7

#### Acknowledgement

Supported by : National Natural Science Foundation of China