Abstract
For any positive real number p a p-equivalence of random variables is defined in terms of moments of order p. For p being not an integer it is shown that p-equivalent nonnegative random variables are identically distributed.
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References
L.H. Loomis, (1953) An Introduction to Abstract Harmonic Analysis, D. Van Nostrand, Toronto New York London.
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© 1993 Springer-Verlag New York, Inc.
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Urbanik, K. (1993). Moments of Sums of Independent Random Variables. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_36
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DOI: https://doi.org/10.1007/978-1-4615-7909-0_36
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4615-7911-3
Online ISBN: 978-1-4615-7909-0
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