Geodesic
Beta-distribution with small parameters
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 563-566

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Approximation (2) is considered for beta distribution function (1) with small parameters $\alpha$ and $\beta$. Accuracy of this approximation is investigated. 
@article{TVP_1970_15_3_a17,
     author = {I. N. Volodin},
     title = {Beta-distribution with small parameters},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {563--566},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a17/}
}
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I. N. Volodin. Beta-distribution with small parameters. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 563-566. http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a17/