# Determinacy of a distribution with finitely many mass points by finitely many moments

*Yixi Wei* and
*Jiang-Hong Ma*

*Statistics & Probability Letters*, 2021, vol. 176, issue C

**Abstract:**
We consider the determinacy problem for a distribution function F(x), x∈R, by mixed data consisting of partial information given on F and knowing its finitely many moments. Necessary and sufficient conditions for solvability of the problem are derived. Essential is the established one-to-one correspondence between the Hamburger moment problem with finitely many moments and a discrete positive Borel measure concentrated at finitely many points on the real axis.

**Keywords:** Distribution function; Moment; Hamburger moment problem; Moment-determinate (search for similar items in EconPapers)

**Date:** 2021

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**DOI:** 10.1016/j.spl.2021.109135

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