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THE ESTIMATION OF RANDOM COEFFICIENT AUTOGRESSIVE MODELS. II
Author(s) -
Quinn B. G.,
Nicholls D. F.
Publication year - 1981
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/j.1467-9892.1981.tb00321.x
Subject(s) - mathematics , randomness , autoregressive model , maximum likelihood , statistics , limit (mathematics) , estimation , class (philosophy) , econometrics , mathematical analysis , computer science , management , artificial intelligence , economics
. In Nicholls and Quinn (1980) a procedure was proposed for the determination of strongly consistent estimates of random coefficient autoregressive models. These estimates are used here as starting values in a Newton‐Raphson algorithm which is employed to obtain the maximum likelihood estimates of a class of random coefficient autoregressions. The maximum likelihood estimates are shown to be strongly consistent and to satisfy a central limit theorem. The problem of testing for the randomness of the coefficients is also briefly discussed. The results of a number of simulations are reported which illustrate the theoretical results obtained.