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

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  • Byoung Jin Choi
  • Jaeseong Heo
  • Un Cig Ji

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.

Suggested Citation

  • Byoung Jin Choi & Jaeseong Heo & Un Cig Ji, 2017. "Law of large numbers for weighted inductive means in a Hadamard space," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2775-2787, December.
    • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2775-2787
    DOI: 10.1002/mana.201600504
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