In probability theory, a degenerate distribution on a measure space ( E , A , μ ) {\displaystyle (E,{\mathcal {A}},\mu )} is a probability distribution whose support is a null set with respect to μ {\displaystyle \mu } . For instance, in the n-dimensional space ℝn endowed with the Lebesgue measure, any distribution concentrated on a d-dimensional subspace with d < n is a degenerate distribution on ℝn.
In probability theory, a degenerate distribution on a measure space ( E , A , μ ) {\displaystyle (E,{\mathcal {A}},\mu )} is a probability distribution whose support is a null set with respect to μ {\displaystyle \mu } . For instance, in the n-dimensional space ℝn endowed with the Lebesgue measure, any distribution concentrated on a d-dimensional subspace with d < n is a degenerate distribution on ℝn.
Source: Wikipedia "Degenerate distribution" · CC BY-SA 4.0
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