Hans van Leeuwen and Hans Maassen 1996 J. Phys. A: Math. Gen. 29 4741 doi:10.1088/0305-4470/29/15/036
Hans van Leeuwen and Hans Maassen
Show affiliationsWe consider two independent q-Gaussian random variables
and
and a function
chosen in such a way that
and
have the same distribution. For
we find that at least the fourth moments of
and
are different. We conclude that no q-deformed convolution product, parallelling the known cases q = 0 and q = 1, can exist.
02.50.-r Probability theory, stochastic processes, and statistics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
Issue 15 (7 August 1996)
Received 15 January 1996
Hans van Leeuwen and Hans Maassen 1996 J. Phys. A: Math. Gen. 29 4741
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