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

Authors
Arnold Barry C.
Citation
C. Arnold Barry, Further Examples Related to the Identical Distribution of X/(X+Y) and Y/(X+Y), American statistician , 74(1), 2020, pp. 93-97
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
74
Issue
1
Year of publication
2020
Pages
93 - 97
Database
ACNP
SICI code
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.