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A moment coboundary theorem for C[0,1]-valued random fields

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  • Morrow, Steven T.

Abstract

K. Schmidt (1977) proved that if a strictly stationary sequence of real-valued random variables has the property that the family of distributions of its partial sums is tight, then the sequence is a coboundary, meaning that it is equal to the successive differences of another strictly stationary sequence. The result here is a coboundary-type theorem for C[0,1]-valued random fields (not necessarily stationary) that includes moment conditions.

Suggested Citation

  • Morrow, Steven T., 2018. "A moment coboundary theorem for C[0,1]-valued random fields," Statistics & Probability Letters, Elsevier, vol. 142(C), pages 62-70.
    • Handle: RePEc:eee:stapro:v:142:y:2018:i:c:p:62-70
    DOI: 10.1016/j.spl.2018.06.013
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    References listed on IDEAS

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    1. Bradley, Richard C., 1995. "On a theorem of K. Schmidt," Statistics & Probability Letters, Elsevier, vol. 24(1), pages 9-12, July.
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      Keywords

      Random field; p-norm; Coboundary;
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