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Difference between revisions of "Improper distribution"

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The same as a [[Degenerate distribution|degenerate distribution]].
 
The same as a [[Degenerate distribution|degenerate distribution]].
  
 
====Comments====
 
====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|Degenerate distribution]]; the latter is defined as a [[Measure|measure]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i050/i050360/i0503601.png" /> on the Borel sets of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i050/i050360/i0503602.png" /> such that <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i050/i050360/i0503603.png" />.
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In the West it is unusual to identify the notions of a degenerate distribution and an improper distribution. For the first see [[Degenerate distribution|Degenerate distribution]]; the latter is defined as a [[Measure|measure]] $\mu$ on the Borel sets of $\mathbf R$ such that $\mu(\mathbf R)<1$.

Latest revision as of 21:48, 11 April 2014

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=13080