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Law of large numbers for weighted inductive means in a Hadamard space

Authors
Choi, Byoung JinHeo, JaeseongJi, Un Cig
Issue Date
Dec-2017
Publisher
WILEY-V C H VERLAG GMBH
Keywords
Law of large numbers; weighted inductive mean; Hadamard space; p-Schatten class
Citation
MATHEMATISCHE NACHRICHTEN, v.290, no.17-18, pp.2775 - 2787
Indexed
SCIE
SCOPUS
Journal Title
MATHEMATISCHE NACHRICHTEN
Volume
290
Number
17-18
Start Page
2775
End Page
2787
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151078
DOI
10.1002/mana.201600504
ISSN
0025-584X
Abstract
We first study the law of large numbers for weighted inductive means of independent identically distributed random variables taking values in a Hadamard space. Secondly, we give a sharp asymptotic estimate for the limit of (non-weighed) inductive means for the p-Schatten class.
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