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Refers to data generated from a distribution that has a countable sample space. The discrete data tag may encompass categorical data, whether nominal (e.g. the distribution of race in a sample of individuals) or ordinal (e.g. socio-economic status), or an actual discrete random variate, such as a set of event counts (e.g. the number of errors on a page of text). Discrete data need not necessarily be integer, however.

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How to estimate the probability mass function of a discrete variable from moments

Consider a bounded, discrete random variable $X$ whose range is $(0,1,\ldots, M)$. We are given the first $k$ moments of this distribution, call them $m_1, \ldots, m_k$. We are interested in estimatin …
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