Distributions over matrices with exchangeable rows and infinitely many columns are useful in constructing nonparametric latent variable models. However, the distribution implied by such models over the number of features exhibited by each data point may be poorly-suited for many modeling tasks. In this paper, we propose a class of exchangeable nonparametric priors obtained by restricting the do...

Performance of coherent reliability systems is strongly connected with distributions of order statistics of failure times of components. A crucial assumption here is that the distributions of possibly mutually dependent lifetimes of components are exchangeable and jointly absolutely continuous. Assuming absolute continuity of marginals, we focus on properties of respective copulas and character...

In partitioning-­‐-­‐-­‐a.k.a. clustering-­‐-­‐-­‐data, we associate each data point with one and only one of some collection of groups called clusters or partition blocks. Here, we formally establish an analogous problem, called feature allocation, for associating data points with arbitrary non-­‐negative integer numbers of groups, now called features or topics. Just as the exchangeable partit...

introduction: 18f-choline pet-ct is an increasingly used technique in patients with prostate cancer. the main indication is to localise the disease in patients with biochemical recurrence. to accurately interpret 18f-choline pet, knowledge of normal tracer distribution is paramount. the aim of this study was to describe the normal distribution pattern of 18f-choline by measuring the maximum sta...

Sampling from a truncated multivariate normal distribution subject to multiple linear inequality constraints is a recurring problem in many areas in statistics and econometrics, such as the order restricted regressions, censored data models, and shape-restricted nonparametric regressions. However, the sampling problem still appears non-trivial due to the existence of the analytically intractabl...

The multivariate normal distribution is often the assumed distribution underlying data samples and it is widely used in pattern recognition and classiication 2]]3]]6]]7]. It is undoubtedly of great beneet to be able to generate random values and vectors from the distribution of choice given its suucient statistics or chosen parameters. We present a detailed account of the theory and algorithms ...

Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...

Recently, commentators have suggested that the distributional form of cost data should be explicitly modelled to gain efficiency in estimating the population mean. We perform a series of simulation experiments to evaluate the usual sample mean and the mean estimator of a lognormal distribution, in the context of both theoretical distributions and three large empirical datasets. The sample mean ...