This paper puts forth a concept of Adptivety Rational Equilibrium (A.R.E) where agents base decisions upon predictions of future values of endogenous variables whose actual values are determined by equilibrium equations.

A problem of sequential decision making under uncertainty involving the testing and regulating of a potentially hazardous substance is analyzed using the Variable Sample Probability Ratio Test.

Methods for scoring ordered classifications in ordered statistical analysis are reviewed. These contrast with model based approaches through generalised linear models. The practical empirical advantages of scoring functions are developed.

A problem of sequential decision making under uncertainty involving the testing and regulating of a potentially hazardous substance is analyzed using the Variable Sample Probability Ratio Test.

Expansions of Penalized Likelihood Ratio Statistics and Consequences on Matching Priors for HPD Regions.

The data consists of multivariate failure times under right random censorship. By the kernel smoothing technique, convolutions of cumulative multivariate hazard functions suggest estimators of the so- called multivariate hazard functions. We establish strong i.i.d. representations and uniform...

The relevance of the Borel paradox to Bayesian Synthesis is explained and illustrated by examples related to the assessment of bowhead whales. It is argued that the paradox is a serious, and that if conditions for the paradox to be of minor concern are observed, the attraction of the Bayesian...

The appearance of the normal density remained unexplained in Mertens and Zamir's proof: it appeared there as the solution of a differential equation. Our proof however justifies this normal density as a consequence of a generalisation of the CLT discussed in the second part of this paper.