COUNT DATA REGRESSION USING SERIES EXPANSIONS: WITH APPLICATIONS

✍ Scribed by A. COLIN CAMERON; PER JOHANSSON

• Book ID: 101284677
• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 298 KB
• Volume: 12
• Category: Article
• ISSN: 0883-7252
• DOI: 10.1002/(sici)1099-1255(199705)12:3<203::aid-jae446>3.0.co;2-2

✦ Synopsis

A new class of parametric regression models for both under-and overdispersed count data is proposed. These models are based on squared polynomial expansions around a Poisson baseline density. The approach is similar to that for continuous data using squared Hermite polynomials proposed by Gallant and Nychka and applied to ®nancial data by, among others, Gallant and Tauchen. The count models are applied to underdispersed data on the number of takeover bids received by targeted ®rms, and to overdispersed data on the number of visits to health practitioners. The models appear to be particularly useful for underdispersed count data.