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Presumably it generalizes to a Mises distribution (circle) for p=3, not p=2, since circles are 2-dimensional and the von Mises-Fisher distribution is p-1 dimensional. There might be something I missed though, so I'm not going to change it without confirmation. -- SmĂĄri McCarthy 13:16, 19 July 2006 (UTC)
The circle is not 2-dimensional, but 1-dimensional, as any point on the circle can be uniquely identified by a singe angle. Similarly, the sphere is 2-dimensional, as each point can be identified by a pair of polar angles. However, you do need an extra dimension to 'represent' the circle or sphere without distortions. -- TomixDf Mon Aug 7 12:02:13 2006
what is it ? â Preceding unsigned comment added by 92.133.97.155 ( talk ⢠contribs)
Was it Ludwig von Mises, the Austrian economist? The article doesn't say, nor does the article on the von Mises distribution. I was surprised recently to find out that LvM had in fact done early work on algorithmic randomness. -- Trovatore ( talk) 01:17, 23 February 2008 (UTC)
It was his brother, Richard von Mises. Tomixdf ( talk) 09:04, 23 February 2008 (UTC)
What is the Mardia (2000) reference? â Preceding unsigned comment added by 128.243.253.117 ( talk) 13:03, 13 June 2011 (UTC)
The article first states that x is a p-dimensional unit vector. Then there is a comment that says "Note that the equations above apply for polar coordinates only.". I don't believe this is the case? The references seem to refer to x in R^(p). If I've missed something, then surely at the least these are hyperspherical coordinates, not polar?
I tried testing this in a very simple 2D (circle) case, and using cartesian coordinates gave me the expected result -- TheKrimsonChin ( talk) 15:35, 27 February 2015 (UTC)
Indeed the reported functions are for cartesian, not polar(spherical in reality) coordinates, I'm going to fix it. [Silvano Galliani] â Preceding unsigned comment added by 192.33.89.33 ( talk) 08:11, 26 June 2015 (UTC)
![]() | This article is rated Start-class on Wikipedia's
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Presumably it generalizes to a Mises distribution (circle) for p=3, not p=2, since circles are 2-dimensional and the von Mises-Fisher distribution is p-1 dimensional. There might be something I missed though, so I'm not going to change it without confirmation. -- SmĂĄri McCarthy 13:16, 19 July 2006 (UTC)
The circle is not 2-dimensional, but 1-dimensional, as any point on the circle can be uniquely identified by a singe angle. Similarly, the sphere is 2-dimensional, as each point can be identified by a pair of polar angles. However, you do need an extra dimension to 'represent' the circle or sphere without distortions. -- TomixDf Mon Aug 7 12:02:13 2006
what is it ? â Preceding unsigned comment added by 92.133.97.155 ( talk ⢠contribs)
Was it Ludwig von Mises, the Austrian economist? The article doesn't say, nor does the article on the von Mises distribution. I was surprised recently to find out that LvM had in fact done early work on algorithmic randomness. -- Trovatore ( talk) 01:17, 23 February 2008 (UTC)
It was his brother, Richard von Mises. Tomixdf ( talk) 09:04, 23 February 2008 (UTC)
What is the Mardia (2000) reference? â Preceding unsigned comment added by 128.243.253.117 ( talk) 13:03, 13 June 2011 (UTC)
The article first states that x is a p-dimensional unit vector. Then there is a comment that says "Note that the equations above apply for polar coordinates only.". I don't believe this is the case? The references seem to refer to x in R^(p). If I've missed something, then surely at the least these are hyperspherical coordinates, not polar?
I tried testing this in a very simple 2D (circle) case, and using cartesian coordinates gave me the expected result -- TheKrimsonChin ( talk) 15:35, 27 February 2015 (UTC)
Indeed the reported functions are for cartesian, not polar(spherical in reality) coordinates, I'm going to fix it. [Silvano Galliani] â Preceding unsigned comment added by 192.33.89.33 ( talk) 08:11, 26 June 2015 (UTC)