Table 1 Characteristics of the Beta-distribution. It is defined with parameters \(\alpha , \beta > 0\) on the interval \([0, 1]\).

From: Stochastic co-teaching for training neural networks with unknown levels of label noise

Parameters

Characteristics

\(\alpha = \beta\)

Symmetric

\(\alpha , \beta < 1\)

Bi-modal

\(\alpha , \beta > 1\)

Uni-modal, bell-shaped

\(\alpha = \beta = 1\)

Uniform

\(\alpha < \beta\)

Positively skewed

\(\alpha > \beta\)

Negatively skewed

\(\alpha < 1, \beta \ge 1\)

mode at 0

\(\alpha = 1, \beta > 1\)

\(\alpha \ge 1, \beta < 1\)

mode at 1

\(\alpha > 1, \beta = 1\)