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Let's say X is uniformly distributed in [-1 , 1]

Then what can we call the distribution of X³ ? It is not uniform, but it "mirrors" around 0 as well.

Is there a simple word describing X³ that would also apply to X⁵ and to 3X, for example?

I would call it "mirror around zero" but I find this ugly and was wondering if there's a better and established term.

user985366
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    Saying the distribution is "symmetric" about 0 is probably the best you can do with one word. This implies that 0 is the median, but it is a stronger condition than merely requiring 0 to be the median. – hardmath Jan 25 '15 at 04:20
  • Good suggestion, it fits perfectly for my use case. Thanks! – user985366 Jan 25 '15 at 04:25

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Per the OP's comment, saying the distribution is "symmetric about zero" is a suitable phrase.

hardmath
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