Complete convergence and complete moment convergence for widely orthant-dependent random variables
Autor: | Yi Wu, Songlin Ma, Xinran Tao, Xuejun Wang, Yang Ding |
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Rok vydání: | 2016 |
Předmět: |
Statistics and Probability
Dominated convergence theorem Normal convergence 010102 general mathematics 01 natural sciences Orthant Combinatorics 010104 statistics & probability Convergence of random variables Sum of normally distributed random variables Proofs of convergence of random variables Applied mathematics Convergence tests 0101 mathematics Modes of convergence Mathematics |
Zdroj: | Communications in Statistics - Theory and Methods. 46:8278-8294 |
ISSN: | 1532-415X 0361-0926 |
DOI: | 10.1080/03610926.2016.1177085 |
Popis: | In this paper, we first establish the complete convergence for weighted sums of widely orthant-dependent (WOD, in short) random variables by using the Rosenthal type maximal inequality. Based on th... |
Databáze: | OpenAIRE |
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