Algorithm 878

Author:

Jonasson Kristjan1

Affiliation:

1. University of Iceland, Reykjavik, Iceland

Abstract

Matlab functions for the evaluation of the exact log-likelihood of VAR and VARMA time series models are presented (vector autoregressive moving average). The functions accept incomplete data, and calculate analytical gradients, which may be used in parameter estimation with numerical likelihood maximization. Allowance is made for possible savings when estimating seasonal, structured or distributed lag models. Also provided is a function for creating simulated VARMA time series that have an accurate distribution from term one (they are spin-up free). The functions are accompanied by a a simple example driver, a program demonstrating their use for real parameter fitting, as well as a test suite for verifying their correctness and aid further development. The article concludes with description of numerical results obtained with the algorithm.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference8 articles.

1. A structured experiment of test-driven development

2. An analysis of Icelandic climate since the nineteenth century

3. Evaluating exact VARMA likelihood and its gradient when data are incomplete

4. Algorithm AS 311: The Exact Likelihood Function of a Vector Autoregressive Moving Average Model

5. Nielsen H. B. 2000. UCMINF—An algorithm for unconstrained nonlinear optimization. Tech Rep. IMM-REP-2000-19 Department of Mathematical Modelling Technical University of Denmark. Nielsen H. B. 2000. UCMINF—An algorithm for unconstrained nonlinear optimization. Tech Rep. IMM-REP-2000-19 Department of Mathematical Modelling Technical University of Denmark.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The exact Gaussian likelihood estimation of time-dependent VARMA models;Computational Statistics & Data Analysis;2016-08

2. Evaluating exact VARMA likelihood and its gradient when data are incomplete;ACM Transactions on Mathematical Software;2008-07-22

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