A controlled heterogeneous collection of identical items is presented. According to their level of wear and tear, they are divided into a finite number of classes and the partition of the collection is allowed to change over time. A suitable exchangeability assumption is made to preserve the property that the items be identical. The role of the occupation numbers is investigated and a filtering...

The present investigation was undertaken to examine an evidence for the exchange diffusion of D-leucine as well as L-leucine and further to study the effect of temperature reduction on the exchange diffusion, in Ehrlich ascites tumor cells in vitro. The homoexchange diffusion for D-leucine was observed at 37 degrees C, the extent being nearly equal to that for L-leucine. The heteroexchange diff...

Most infinite mixture models in the current literature are based on the Dirichlet process prior. This prior on partitions implies a very specific (a priori) distribution on cluster sizes. A slightly more general prior known as the Pitman-Yor process prior generalizes this to a two-parameter family. The latter is the most general exchangeable partition probability function (EPPF) as defined by P...

Non-identifiability of parameters is a well-recognized problem in classical statistics, and Bayesian statisticians have long recognized the importance of exchangeability assumptions in making statistical inferences. A seemingly unrelated problem in epidemiology is that of confounding: bias in estimation of the effects of an exposure on disease risk, due to inherent differences in risk between e...

Evolutionary inferences are usually based on statistical models that compare mean genotypes or phenotypes (or their frequencies) among populations. An alternative is to use the full distribution of genotypes and phenotypes to infer the "exchangeability" of individuals among populations. We illustrate this approach by using discriminant functions on principal components to classify individuals a...