# Improper distribution

From Encyclopedia of Mathematics

The same as a degenerate distribution.

#### Comments

In the West it is unusual to identify the notions of a degenerate distribution and an improper distribution. For the first see Degenerate distribution; the latter is defined as a measure $\mu$ on the Borel sets of $\mathbf R$ such that $\mu(\mathbf R)<1$.

**How to Cite This Entry:**

Improper distribution.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Improper_distribution&oldid=31582