Further Examples Related to the Identical Distribution of X/(X+Y) and Y/(X+Y)

Barry C. Arnold

The American Statistician, 2020, vol. 74, issue 1, 93-97

Abstract: The study of conditions under which a two-dimensional random variable (X, Y) will have the property that X/(X+Y)=dY/(X+Y) was initiated by Bhattacharjee and Dhar. Some additional perhaps unexpected examples related to this phenomenon are provided. Discrete and absolutely continuous cases are discussed in detail. Singular continuous cases are briefly mentioned.

Date: 2020
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DOI: 10.1080/00031305.2019.1575772

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