Maximum Likelihood Estimation for an Observation Driven Model for Poisson Counts
Richard D. Davis, William T. Dunsmuir, Sarah B. Streett
This paper is concerned with an observation driven model for time series of counts whose conditional distribution given past observations follows a Poisson distribution. This class of models is capable of modeling a wide range of dependence structures and is readily estimated using an approximation to the likelihood function. Recursive formulae for carrying out maximum likelihood estimation are provided and the technical components required for establishing a central limit theorem of the maximum likelihood estimates are given in a special case.
Methodology And Computing In Applied Probability
asymptotic distribution of MLE, observation-driven model, Poisson-valued time series
, Dunsmuir, W.
and Streett, S.
Maximum Likelihood Estimation for an Observation Driven Model for Poisson Counts, Methodology And Computing In Applied Probability
(Accessed December 4, 2023)