This manuscript provides an introduction to statistics and probability method. It is structured around three themes developed in five chapters. The first part is an introduction to probability calculations in which we introduce the notions of elementary probability, probabilized spaces, random...

Stochastic volatility models, aka SVOL, are more difficult to estimate than standard time-varying volatility models (ARCH). Advances in the literature now offer well tested estimators for a basic univariate SVOL model. However, the basic model is too restrictive for many economic and finance...

This paper illustrates the usefulness of resampling based methods in the context of multiple (simultaneous) tests, with emphasis on econometric applications. Economic theory often suggests joint (or simultaneous) hypotheses on econometric models; consequently, the problem of evaluating joint...

We propose methods for testing hypothesis of non-causality at various horizons, as defined in Dufour and Renault (1998, Econometrica). We study in detail the case of VAR models and we propose linear methods based on running vector autoregressions at different horizons. While the hypotheses...

We discuss statistical inference problems associated with identification and testability in econometrics, and we emphasize the common nature of the two issues. After reviewing the relevant statistical notions, we consider in turn inference in nonparametric models and recent developments on...

The main purpose of this paper is to determine the macro-prudential indicators of financial strength that can be used under supervision of the banking system in CEMAC. More specifically, we start from a set of indicators listed in the literature on macro-prudential supervision, and identify...

In this study, we identifie a small number of indicators of macro-prudential supervision important to monitoring of the banking’s system. We use the theory of Markov stochastic processes to measure the systemic risk of CEMAC by calculating the degree of fragility of system and we determine the...

We study the relationships between the real effective exchange rate (REER) of the Tunisian dinar and its determinants/fundamentals, i.e. the ratio of trade balance/GDP, the ratio of public consumption/GDP, the openness rate and the terms of trade. We find that in the most of cases, the variables...

In this paper, we use identification-robust methods to assess the empirical adequacy of a New Keynesian Phillips Curve (NKPC) equation. We focus on the Gali and Gertler's (1999) specification, on both U.S. and Canadian data. Two variants of the model are studied: one based on a...

This manual offers a detailed and accessible approach to Ordinary Least Squares (OLS) regression using EViews software. Aimed at students and practitioners in economics and the social sciences, it covers the fundamental concepts of OLS regression, practical implementation in EViews, as well as...