The marginal Bayesian predictive classifiers (mBpc), as opposed to the simultaneous (sBpc), handle each data separately and, hence, tacitly assume independence of observations. Due saturation in learning generative model parameters, adverse effect this false assumption on accuracy mBpc tends wear out face an increasing amount training data, guaranteeing convergence these two under de Finetti ty...

In his survey [4] of notions of exchangeability, Aldous introduced a form of exchangeability corresponding to the symmetries of the infinite discrete cube, and asked whether these exchangeable probability measures enjoy a representation theorem similar to those for exchangeable sequences [11], arrays [12, 13, 1, 2] and set-indexed families [15]. In this note we to prove that, whereas the known ...

The classical maximum-entropy principlemethod (Jaynes 1963) appears in the probability calculus as an approximation of a particular model by exchangeability or a particular model by sufficiency. The approximation from the exchangeability model can be inferred from an analysis by Jaynes (1996) and to some extent from works on entropic priors (Rodríguez 1989; 2002; Skilling 1989a; 1990). I tried ...

Regression discontinuity analyses can generate estimates of the causal effects of an exposure when a continuously measured variable is used to assign the exposure to individuals based on a threshold rule. Individuals just above the threshold are expected to be similar in their distribution of measured and unmeasured baseline covariates to individuals just below the threshold, resulting in excha...

The standard methods for computing the number of nonsynonymous substitutions (Ka) lump all amino acid changes into one single class, even though their rates of substitution vary by at least 10-fold (Tang et al., 2004). Classifying these changes by their physicochemical properties has not been suitably effective in isolating the fastest evolving classes of changes. We now propose to use the Univ...

Most epidemiologic cohorts are composed of volunteers who do not represent the general population. To improve population inference from cohorts, propensity-score (PS)-based matching methods, such as PS-based kernel weighting (KW) method, utilise probability survey samples external references to develop PSs for membership in cohort versus survey. We identify a strong exchangeability assumption (...

De Finetti’s Theorem asserts that a sequence of exchangeable variables are conditionally independent, that is, dependence under exchangeability is nothing but conditionally independence. However, de Finetti’s theorem is valid only with a infinite number of random variables, which makes this result unsuitable for application in many economic models. In this paper, we prove that dependence is con...

In this dissertation, we consider deadlock freedom as a behavioral correctness criterion of service interaction and accordingly classify two different notions of well-designed update of a service : q Equivalence : a service S’ is an equivalent update of a service S S and S’ have exactly the same set of deadlock-free partners q Accordance : a service S’ is an accordant update of a service S ever...

Calcium retained at binding sites of the sarcoplasmic reticulum membranes isolated from rabbit skeletal muscle requires 10(-5) - 10(-4)M ATP to exchange with (45)Ca added to the medium. The ATP requirement for Ca exchangeability was observed with respect to the "intrinsic" Ca of the reticulum membranes and the fraction of Ca that is "actively" bound in the presence of ATP. Furthermore, a concen...