In this note we propose a general testing procedure for parametric models based on Bartlett Identities. A well-know example is the Information Matrix test, which is based on the Bartlett Identity of order 1. The Identities are shown to induce a sequence of testable restrictions on the data...

Two extensions of a parametric model are proposed, each one involving the score function of an alternative parametric model. We show that the encompassing hypothesis is equivalent to standard conditions on the score of each of the extended models. The condition on the first extension gives rise...

A factor analysis of returns of shares traded on the Brussels Stock Exchange reveals that the first dominant factor is highly correlated with the popular Bel-20 index and that a distinctive alternative trend is represented by the market's second factor. We propose a new stock index consisting of...