The non-parametric, or re-sampling, bootstrap for a single unstructured sample corresponds to the algebraic operation of monoid composition, with a uniform distribution on the monoid. With this interpretation, the notion of re-sampling can be extended to designs having a certain group-invariance property. Two types of exchangeable array structures are considered in some detail, namely the one-w...

many environmental and physiological factors affect plant temperature. the objective of this study was to use thermal imagery to investigate robust features for early diagnosis of botrytis cinerea infection in cut rose flowers under the postharvest application of methyl jasmonate (meja). three cases treated with different concentrations of meja (0.1, 0.2, and 0.3 µl.l−1), a control (0 µl.l−1 me...

1. Exchangeable potassium, sulphate space and intracellular fluid have been determined in eight normal males and in seven uraemic male patients on a regime of twice weekly 8 h dialysis. 2. Intracellular water was more closely correlated with exchangeable potassium than were body weight or lean body mass. 3. There was no correlation between exchangeable potassium and plasma or erythrocyte potass...

This paper considers the derivation of the p.d.f. of the trace of a non-central multivariate quadratic form using a polynomial P (T,A) defined by Ie the author and compares with the results of Katz et al and Ruben. The come plex case is also discussed.

We discuss the implications of Bayes’ postulate in the setting of exchangeable Bernoulli random variables. Bayes’ postulate, here, stipulates a uniform distribution on the total number of successes in any number of trials. For an infinite sequence of exchangeable Bernoulli variables the conditions of Bayes’ postulate are equivalent to a uniform (prior) distribution on the underlying mixing vari...

A random partition of the positive integers is called partially exchangeable if for each finite sequence of positive integers n,, ... , nk, the probability that the partition breaks the first n1 + + nk integers into k particular classes, of sizes nl,.. . ., nk in order of their first elements, has the same value p(nl,...,nk) for every possible choice of classes subject to the sizes constraint. ...

ABSTRACT- Different soil potassium (K) pools including soluble, exchangeable and non-exchangeable in surface and subsurface soils may be totally used by canola roots at different growth stages under drought conditions. A field experiment was conducted for one growing season (2013-2014) to study K pools changes during growth stages of two rapeseed cultivars under drought. The experiment was arra...

An obvious Bayesian nonparametric generalization of ridge regression assumes that coefficients are exchangeable, from a prior distribution of unknown form, which is given a Dirichlet process prior with a normal base measure. The purpose of this paper is to explore predictive performance of this generalization, which does not seem to have received any detailed attention, despite related applicat...

In this article, we propose a general framework for distribution-free nonparametric testing in multi-dimensions, based on notion of multivariate ranks defined using the theory measure transportation. Unlike other existing proposals literature, these share number useful properties with usual one-dimensional ranks; most importantly, are distribution-free. This crucial observation allows us to des...