All Conditional Distributions for Y Given X that are Compatible with a Given Conditional Distribution for X Given Y

Barry C. Arnold and B. G. Manjunath ()
Additional contact information
Barry C. Arnold: University of California
B. G. Manjunath: University of Hyderabad

Sankhya A: The Indian Journal of Statistics, 2022, vol. 84, issue 2, No 1, 419-426

Abstract: Abstract For a given conditional distribution for X given Y, it is important to identify the class of all conditional distributions for Y given X such that there exists at least one bivariate distribution with the given particular conditional densities. Such problems are addressed as dealing with “compatibility” of two conditional distributions. In the present note our goal is to identify all possible conditional densities for Y given X that are compatible with the given family of distributions of X given Y.

Keywords: Conditional distribution; Marginals; Compatibiliy; Cross-product ratio; Normal conditionals; Likelihood; Posterior density.; Primary 60E05; Secondary 62E10 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13171-020-00200-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sankha:v:84:y:2022:i:2:d:10.1007_s13171-020-00200-9

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/13171

DOI: 10.1007/s13171-020-00200-9

Access Statistics for this article

Sankhya A: The Indian Journal of Statistics is currently edited by Dipak Dey

More articles in Sankhya A: The Indian Journal of Statistics from Springer, Indian Statistical Institute
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().