Local asymptotic normality and efficient estimation for INAR(p) models

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Local asymptotic normality and efficient estimation for INAR(p) models

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Feike C. Drost
Ramon van den Akker
Bas J. M. Werker

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Abstract

Integer-valued autoregressive (INAR) processes have been introduced to model non-negative integer-valued phenomena that evolve in time. The distribution of an INAR(p) process is determined by two parameters: a vector of survival probabilities and a probability distribution on the non-negative integers, called an immigration distribution. This paper provides an efficient estimator of the parameters, and in particular, shows that the INAR(p) model has the Local Asymptotic Normality property. Copyright 2008 The Authors. Journal compilation 2008 Blackwell Publishing Ltd

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Article provided by Blackwell Publishing in its journal Journal of Time Series Analysis.

Volume (Year): 29 (2008)
Issue (Month): 5 (09)
Pages: 783-801
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Handle: RePEc:bla:jtsera:v:29:y:2008:i:5:p:783-801

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Paper
- Drost, Feike C. & Akker, Ramon van den & Werker, Bas J.M., 2006. "Local asymptotic normality and efficient estimation for inar (P) models," Discussion Paper 45, Tilburg University, Center for Economic Research. [Downloadable!]

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Brännäs, Kurt & Quoreshi, Shahiduzzaman, 2004. "Integer-Valued Moving Average Modelling of the Number of Transactions in Stocks," UmeÃ¥ Economic Studies 637, Umeå University, Department of Economics. [Downloadable!]
Gourieroux, C. & Jasiak, J., 2004. "Heterogeneous INAR(1) model with application to car insurance," Insurance: Mathematics and Economics, Elsevier, vol. 34(2), pages 177-192, April. [Downloadable!] (restricted)

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Drost, F.C. & Akker, R. van den & Werker, B.J.M., 2007. "Efficient Estimation of Autoregression Parameters and Innovation Distributions for Semiparametric Integer-Valued AR(p) Models (Subsequently replaced by DP 2008-53)," Discussion Paper 2007-23, Tilburg University, Center for Economic Research.

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