A lemma on proximity of variances and expectations
ESAIM: Probability and Statistics, Tome 4 (2000), pp. 229-231. 
@article{PS_2000__4__229_0,
     author = {Sonsino, Doron},
     title = {A lemma on proximity of variances and expectations},
     journal = {ESAIM: Probability and Statistics},
     pages = {229--231},
     publisher = {EDP-Sciences},
     volume = {4},
     year = {2000},
     mrnumber = {1808332},
     zbl = {0965.60008},
     language = {en},
     url = {http://www.numdam.org/item/PS_2000__4__229_0/}
}
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Sonsino, Doron. A lemma on proximity of variances and expectations. ESAIM: Probability and Statistics, Tome 4 (2000), pp. 229-231. http://www.numdam.org/item/PS_2000__4__229_0/

[1] P. Billingsley, Probability and Measure. 2nd edition. John Wiley & Sons, New York ( 1986). | MR | Zbl