Geodesic
On the Convergence of Product Moments
Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 513-518

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Let H be an abstract space and for every positive integer n let Fn, θ(x, y), θ ∈ H, be a family of distribution n, 0 function s ofrandom variables (Xn, Yn)θ, θ ∈ H. Forevery θ ∈ H, Eθg (Xn, Yn) will denote theexpected value of the function g of (Xn, Yn )θ. The following proposition is proved. 
Chan, L. K. On the Convergence of Product Moments. Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 513-518. doi: 10.4153/CMB-1967-050-7
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     author = {Chan, L. K.},
     title = {On the {Convergence} of {Product} {Moments}},
     journal = {Canadian mathematical bulletin},
     pages = {513--518},
     year = {1967},
     volume = {10},
     number = {4},
     doi = {10.4153/CMB-1967-050-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-050-7/}
}
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