A moment problem
- 1 August 1965
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 5 (4) , 487-490
- https://doi.org/10.1017/s1446788700028500
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- On a general probability theorem and its applications in the theory of the stochastic processesMathematical Proceedings of the Cambridge Philosophical Society, 1958
- Problèmes de la probabilité des épreuves répétées dans le cas généralBulletin de la Société Mathématiques de France, 1939
- Über das Eulersche SummierungsverfahrenMathematische Zeitschrift, 1922