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Department of Economics, Umeå University Umeå Economic Studies, Department of Economics, Umeå University

No 477:
Estimation in integer - valued moving average models

Kurt Brännäs () and Andreia Hall

Abstract: The paper presents new characterizations of the integer-valued moving average model. For four model variants we give moments and probability generating functions. Yule-Walker and conditional least squares estimators are obtained and studied by Monte Carlo simulation. A new generalized method of moment estimator based on probability generating functions is presented and shown to be consistent and asymptotically normal.The small sample performance is in some instances better than those of alternative estimators. The techniques are illustrated on a time series of traded stocks.

Keywords: Model characterization; probability generating function; GMM; least squares; Yule-Walker; Monte Carlo; number of traded stocks; (follow links to similar papers)

JEL-Codes: C13; C15; C22; C25; (follow links to similar papers)

17 pages, October 4, 1998

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This paper is published as:
Brännäs, Kurt and Andreia Hall, (2001), 'Estimation in integer - valued moving average models', Applied Stochastic Models in Business and Industry, 17, 277-291, 2001, Vol. 17, pages 277-291



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