{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:37:10Z","timestamp":1750307830881,"version":"3.41.0"},"reference-count":8,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[2008,7,22]],"date-time":"2008-07-22T00:00:00Z","timestamp":1216684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Math. Softw."],"published-print":{"date-parts":[[2008,7,22]]},"abstract":"<jats:p>\n            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\n            <jats:italic>spin-up<\/jats:italic>\n            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.\n          <\/jats:p>","DOI":"10.1145\/1377603.1377609","type":"journal-article","created":{"date-parts":[[2008,7,29]],"date-time":"2008-07-29T13:22:19Z","timestamp":1217337739000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Algorithm 878"],"prefix":"10.1145","volume":"35","author":[{"given":"Kristjan","family":"Jonasson","sequence":"first","affiliation":[{"name":"University of Iceland, Reykjavik, Iceland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2008,7,25]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.infsof.2003.09.011"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/joc.1051"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1377603.1377608"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9876.00056"},{"key":"e_1_2_2_5_1","unstructured":"Nielsen H. B. 2000. UCMINF\u2014An algorithm for unconstrained nonlinear optimization. Tech Rep. IMM-REP-2000-19 Department of Mathematical Modelling Technical University of Denmark.  Nielsen H. B. 2000. UCMINF\u2014An algorithm for unconstrained nonlinear optimization. Tech Rep. IMM-REP-2000-19 Department of Mathematical Modelling Technical University of Denmark."},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/382043.382316"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2347692"},{"key":"e_1_2_2_8_1","unstructured":"Terceiro J. 1990. Estimation of Dynamic Econometric Models with Errors in Variables. Springer-Verlag Berlin Germany.  Terceiro J. 1990. Estimation of Dynamic Econometric Models with Errors in Variables. Springer-Verlag Berlin Germany."}],"container-title":["ACM Transactions on Mathematical Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1377603.1377609","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1377603.1377609","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T13:57:56Z","timestamp":1750255076000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1377603.1377609"}},"subtitle":["Exact VARMA likelihood and its gradient for complete and incomplete data with Matlab"],"short-title":[],"issued":{"date-parts":[[2008,7,22]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,7,22]]}},"alternative-id":["10.1145\/1377603.1377609"],"URL":"https:\/\/doi.org\/10.1145\/1377603.1377609","relation":{},"ISSN":["0098-3500","1557-7295"],"issn-type":[{"type":"print","value":"0098-3500"},{"type":"electronic","value":"1557-7295"}],"subject":[],"published":{"date-parts":[[2008,7,22]]},"assertion":[{"value":"2006-08-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2007-10-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2008-07-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}