Résultats de recherche
Creator: Dahl, David S. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 001 La description:
A speech delivered to the Marketing Research Seminar for Gas Utilities, sponsored by the American Gas Association, October 2, 1969.
Mot-clé: Regional surveys, Data collection, and Forecasting Assujettir: E66 - General Outlook and Conditions
Creator: Uhlig, Harald, 1961- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 342 Abstract:
[Please note that the following Greek lettering is improperly transcribed.] If [0,1] is a measure space of agents and X---- a collection of pairwise uncorrelated random variables with common finite mean U and variance a , one would like to establish a law of large numbers () Xdl = U. In this paper we propose to interpret () as a Pettis integral. Using the corresponding Riemann-type version of this integral, we establish (*) and interpret it as an L2-law of large numbers. Intuitively, the main idea is to integrate before drawing an W, thus avoiding well-know measurability problems. We discuss distributional properties of i.i.d. random shocks across the population. We given examples for the economic interpretability of our definition. Finally, we establish a vector-valued version of the law of large numbers for economies.
Mot-clé: Random variable, Khinchines law of large numbers, Pettis integral, L2 law of large numbers, Riemann integral, and Large numbers Assujettir: C10 - Econometric and Statistical Methods and Methodology: General