A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces

André Adler, Andrew Rosalsky and Andrej I. Volodin

Statistics & Probability Letters, 1997, vol. 32, issue 2, 167-174

Abstract: For weighted sums of the form Sn = [summation operator]j=1kn anj(Vnj - cnj) where {anj, 1[less-than-or-equals, slant]j[less-than-or-equals, slant]kn

Keywords: Real; separable; martingale; type; p; Banach; space; Array; of; random; elements; Weighted; sums; Convergence; in; Lr; Weak; law; of; large; numbers; Convergence; in; probability; {anj}-uniformly; integrable; array; Cesaro; uniformly; integrable; array (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (3)

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