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A moment problem

Published online by Cambridge University Press:  09 April 2009

Lajos Takács
Lajos Takács
Affiliation:
Department of Mathematical Statistics, Columbia University
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Let ν be a discrete random variable taking on nonnegative integer values and set P{ν = κ} = Pk, κ = 0, 1, hellip. Suppose that the binomial moments are finite. Frequently the problem arises under what conditions the probabilities Pk, k = 0, 1,…, can be determined uniquely by the sequence of moments Br, r = 0, 1,…, and how it can be done.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 4 , November 1965 , pp. 487 - 490
Copyright
Copyright © Australian Mathematical Society 1965

References

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