Is it possible to find the mean or center of a continuous arbitrary distribution. Assuming that an object O is arbitrarily distributed within arbitrary shape, can we find its mean or center geometrically or by any other method if the distribution is not known in advance.
mean of an arbitrary distribution
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probability-distributions
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1Can we find the center of some random thing we know nothing about? Err... I don't think continuity is enough here. – 2012-04-27
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0Can mean of an arbitrary object lies at the boundary of that object? – 2012-04-27
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3Some distributions don't have means. For example, the Cauchy distribution whose density is $(1/\pi)/(1+x^2)$. – 2012-04-27
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0@shaikh: Yes. For example, the center of mass of a line segment lies on its boundary. – 2012-11-28