Christian Gourieroux

Calibrarion By Simulation for Small Sample Bias Correction

This paper is interested in small sample properties of the indirect inference procedure which has been previously studied only from an asymptotic point of view. First, we highlight the fact that the Andrews(1993) median-bias correction procedure for autoregresssive parameter of an AR(1) process is closely related to indirect inference; we prove that the counterpart of the midian-bias correction for indirect inference estimator is an exact bias correction in the sense of a generalized mean. Next, assuming that the auxiliary estimator admits an Edgeworth expansion, we prove that indirect inference operates automatically a second order bias correction. The latter is a well known property of the Bootstrap estimator; we therefore provide a precise comparison between these two simulation based estimators.

A General Approach to Serial Correlation

In this paper the testing and estimation problems are discussed in the case of serial correlation. Various models are particular cases of the general framework considered: the nonlinear simultaneous equations models, the probit models, the tobit models, the disequilibrium models, the frontier models, etc. In this context, it is shown that the score test can be written explicitly and that the statistic obtained is a generalization of that of Durbin and Watson; moreover, the maximum likelihood estimation procedure is shown to be robust with respect to serial correlation.

SOLUTIONS OF LINEAR RATIONAL EXPECTATIONS MODELS

Linear rational expectations models generally have a large number of solutions. It is thus important to describe them exhaustively in order to study their properties and subsequently estimate which solution best fits the data. In this paper, a global approach is suggested allowing a simultaneous treatment of all possible cases. The fundamental concepts are the revision processes appearing in the procedure of updating expectations. It isfound that the set of solutions is completely described by using a limitednumber of these processes. We show how the method may be applied to determine the set of stationary solutions admitting an infinite moving-average representation. We give a natural parametrization of this set and discuss the exact number of independent parameters.

The Econometrics of Individual Risk: Credit, Insurance, and Marketing

The individual risks faced by banks, insurers, and marketers are less well understood than aggregate risks such as market-price changes. But the risks incurred or carried by individual people, companies, insurance policies, or credit agreements can be just as devastating as macroevents such as share-price fluctuations. A comprehensive introduction, The Econometrics of Individual Risk is the first book to provide a complete econometric methodology for quantifying and managing this underappreciated but important variety of risk. The book presents a course in the econometric theory of individual risk illustrated by empirical examples. And, unlike other texts, it is focused entirely on solving the actual individual risk problems businesses confront today. Christian Gourieroux and Joann Jasiak emphasize the microeconometric aspect of risk analysis by extensively discussing practical problems such as retail credit scoring, credit card transaction dynamics, and profit maximization in promotional mailing. They address regulatory issues in sections on computing the minimum capital reserve for coverage of potential losses, and on the credit-risk measure CreditVar. The book will interest graduate students in economics, business, finance, and actuarial studies, as well as actuaries and financial analysts.

Statistics and Econometric Models: Frontmatter

This two-volume work aims to present as completely as possible the methods of statistical inference with special reference to their economic applications. The reader will find a description not only of the classical concepts and results of mathematical statistics, but also of concepts and methods recently developed for the specific needs of econometrics. The authors have sought to avoid an overly technical presentation and go to some lengths to encourage an intuitive understanding of the results by providing numerous examples throughout. The breadth of approaches and the extensive coverage of the two volumes provide for a thorough and entirely self-contained course in modern econometrics. Volume 1 provides an introduction to general concepts and methods in statistics and econometrics, and goes on to cover estimation and prediction. Volume 2 focuses on testing, confidence regions, model selection, and asymptotic theory.

ALLOCATING SYSTEMIC RISK IN A REGULATORY PERSPECTIVE

The paper proposes an axiomatic approach for allocating aggregate risk among individual entities. It is shown that a risk allocation system should obey two axioms. The allocations satisfying these axioms are called coherent risk contributions and are characterized. In the paper, the contribution of each entity is decomposed into a systemic part, an unsystemic part and, possibly, a cross effect. Consequences in terms of regulation are discussed.

Time Series and Dynamic Models: Trend Components

(including the cost of utilities) for the entire FMR area. All approved exceptions to these rents that were in effect in FY 2011 were updated to FY 2012 using the same data used to estimate the Housing Choice Voucher program FMRs. If the result of this computation was higher than 40 percent of the new two-bedroom rent, the exception remains and is listed in Schedule D. The FMR area definitions used for the rental of manufactured home spaces are the same as the area definitions used for the other FMRs.