On the statistical estimation of diffusion processes - a partial survey

Data available on continuous-time diffusions are always sampled discretely in time. In most cases, the likelihood function of the observations is not directly computable. This survey covers a sample of the statistical methods that have been developed to solve this problem. We concentrate on some recent contributions to the literature based on three di§erent approaches to the problem: an improvement of the Euler-Maruyama discretization scheme, the employment of Martingale Estimating Functions, and the application of Generalized Method of Moments (GMM).

Laws of large numbers for non-additive probabilities

We apply the concept of exchangeable random variables to the case of non-additive robability distributions exhibiting ncertainty aversion, and in the lass generated bya convex core convex non-additive probabilities, ith a convex core). We are able to rove two versions of the law of arge numbers (de Finetti's heorems). By making use of two efinitions. of independence we rove two versions of the strong law f large numbers. It turns out that e cannot assure the convergence of he sample averages to a constant. e then modal the case there is a true" probability distribution ehind the successive realizations of the uncertain random variable. In this case convergence occurs. This result is important because it renders true the intuition that it is possible "to learn" the "true" additive distribution behind an uncertain event if one repeatedly observes it (a sufficiently large number of times). We also provide a conjecture regarding the "Iearning" (or updating) process above, and prove a partia I result for the case of Dempster-Shafer updating rule and binomial trials.

Partial economic reforrns and financial crises: an emerging markets perspective

The recent emerging market experiences have posed a challenge to the conventional wisdom that unsustainable fiscal deficits are the key to understanding financial crises in these countries. The health of the domestic banking system has emerged as the main driving force behind the perverse dynamics of partial reforms. The current paper shares this view and uses a model of contractual inefliciencies in the banking sector to understand the dynamics of these reforms. We find that the threat of a large exchange rate devaluation depends on the stock of international reserves relative to the stock of domestic credit that must be extended by the Central Bank in response to a large capital outflow. Moreover, if a country has a weak banking sector but high net reserve ratios, the capital flow reversal might only increase the vulnerability to a currency crisis without necessarily causing it. The results are in accordance with much of the empiricalliterature on the determinants of financiaI crises in emerging markets. Some aspectsof the recent policy debate on the introduction of capital controls are also analysed.