English Dictionary

beta distribution

名詞

(probability, statistics) Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable.

日本語の意味

0から1の区間で定義される連続確率分布の一族であり、形状が2つの正のパラメータ（αとβ）によって決定される分布。 / 確率論や統計学で用いられる分布で、パラメータにより分布の形状（分布の偏りの程度や集中の仕方）が変わる。

When modeling proportions of successes, I often use the beta distribution to reflect uncertainty between 0 and 1.

成功割合をモデル化する際、私はしばしば0から1の区間で定義され、形状が2つの正のパラメータαとβで決まるベータ分布を不確実性を表すために用います。

意味（1）

(probability, statistics) Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable.

In particular, I illustrate how a hierarchical model in which the allele frequency distribution among populations is approximated by a Beta distribution and distribution of mean allele frequencies across loci is also approximated by a Beta distribution, accounts for the time-correlation of allele frequencies that existing methods of inference ignore.

beta distributions （ plural ）