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Generalized linear autoregressions

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Author Info
Neil Shephard

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Abstract

This paper develops a class of autoregressive and moving average models which extend the generalized linear model. Likelihood and quasi-likelihood estimation procedures are developed which allow the models to be easily estimated and tested. Several examples are given which illustrate the usefulness and simplicity of the approach advocated in this paper.

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File URL: http://www.nuff.ox.ac.uk/economics_wp/w8/glar.zip
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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 8..

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Date of creation: Feb 1995
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Handle: RePEc:nuf:econwp:0008

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Web page: http://www.nuff.ox.ac.uk/economics/

For technical questions regarding this item, or to correct its listing, contact: (Maxine Collett).

Related research
Keywords: ARCH; autoregression; binomial; categorical data; count data; diagnostic checking; exponential family; gamma; generalized linear models; martingale difference; moving average; overdispersion; poisson.;

References listed on IDEAS
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  1. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April. [Downloadable!] (restricted)
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(explanations, 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.)

  1. Fabrizio Cipollini & Robert F. Engle & Giampiero M. Gallo, 2006. "Vector Multiplicative Error Models: Representation and Inference," NBER Technical Working Papers 0331, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Drew Creal & Siem Jan Koopman & André Lucas, 2008. "A General Framework for Observation Driven Time-Varying Parameter Models," Tinbergen Institute Discussion Papers 08-108/4, Tinbergen Institute. [Downloadable!]
    Other versions:
  3. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2007. "An Inflated Multivariate Integer Count Hurdle Model: An Application to Bid and Ask Quote Dynamics," CoFE Discussion Paper 07-04, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  4. Ralph D. Snyder & Gael M. Martin & Phillip Gould & Paul D. Feigin, 2007. "An Assessment of Alternative State Space Models for Count Time Series," Monash Econometrics and Business Statistics Working Papers 4/07, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  5. Jeffrey R. Russell & Robert F. Engle, 1998. "Econometric Analysis of Discrete-Valued Irregularly-Spaced Financial Transactions Data Using a New Autoregressive Conditional Multinomial Model," University of California at San Diego, Economics Working Paper Series 98-10, Department of Economics, UC San Diego. [Downloadable!]
    Other versions:
  6. Jung, Robert & Kukuk, Martin & Liesenfeld, Roman, 2005. "Time Series of Count Data : Modelling and Estimation," Economics Working Papers 2005,08, Christian-Albrechts-University of Kiel, Department of Economics. [Downloadable!]
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