Partial Independence and Finite Distributions
Ιt is known that mere knowledge of the conditional distribution of two random variables is not sufficient to specify uniquely the marginal distributions. Some additional information is necessary. This is usually provided in some form of independence between functions of the two random variables involved. PANARETOS (1981) introduced a method of deriving the marginal distributions based on knowledge of the conditional distribution and an assumption of partial independence. An extension of this result is presented referring to truncated distributions. An interesting property of the hypergeometric distribution is revealed based on the unique decomposition of the binomial law
|Date of creation:||1984|
|Date of revision:|
|Publication status:||Published in Mathematische Operationforschung und Statistic, Series Statistics 3.15(1984): pp. 397-405|
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- Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
- Panaretos, John, 1982. "On a Structural Property of Finite Distributions," MPRA Paper 6242, University Library of Munich, Germany.
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