we we're asked about it, and I know that answer is "NO", and I haven't found an good enough answer yet and would appreciate an explanation with examples.
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1$\begingroup$ Duplicate of : mathoverflow.net/questions/3525/… $\endgroup$– kjetil b halvorsenCommented Mar 14, 2021 at 17:16
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1$\begingroup$ Does this answer your question? When are probability distributions completely determined by their moments? $\endgroup$– Will SawinCommented Mar 15, 2021 at 1:54
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1 Answer
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An example, and a necessary and sufficient condition (in the case when the distribution is absolutely continuous) for the uniqueness, can be found e.g. here.