A Note on Bivariate Distributions That are Conditionally Normal
- 1 May 1991
- journal article
- research article
- Published by Taylor & Francis in The American Statistician
- Vol. 45 (2) , 125-126
- https://doi.org/10.1080/00031305.1991.10475784
Abstract
It is possible for a nonnormal bivariate distribution to have conditional distribution functions that are normal in both directions. This article presents several examples, with graphs, including a counterintuitive bimodal joint density. The graphs simultaneously display the joint density and the conditional density functions, which appear as Gaussian curves in the three-dimensional plots.Keywords
This publication has 4 references indexed in Scilit:
- Compatible Conditional DistributionsJournal of the American Statistical Association, 1989
- Conditional Independence in Statistical TheoryJournal of the Royal Statistical Society Series B: Statistical Methodology, 1979
- Spatial Interaction and the Statistical Analysis of Lattice SystemsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1974
- On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systemsBiometrika, 1964