{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T08:40:20Z","timestamp":1738226420937,"version":"3.34.0"},"reference-count":14,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2008,5,14]],"date-time":"2008-05-14T00:00:00Z","timestamp":1210723200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2008,10]]},"abstract":"<jats:p>Average exponential<jats:italic>F<\/jats:italic>tests for structural change in a Gaussian linear regression model and modifications thereof maximize a weighted average power that incorporates specific weighting functions to make the resulting test statistics simple. Generalizations of these tests involve the numerical evaluation of (potentially) complicated integrals. In this paper, we suggest a uniform Laplace approximation to evaluate weighted average power test statistics for which a simple closed form does not exist. We also show that a modification of the avg-<jats:italic>F<\/jats:italic>test is optimal under a very large class of weighting functions and can be written as a ratio of quadratic forms so that both its<jats:italic>p<\/jats:italic>-values and critical values are easy to calculate using numerical algorithms.<\/jats:p>","DOI":"10.1017\/s026646660808050x","type":"journal-article","created":{"date-parts":[[2008,5,14]],"date-time":"2008-05-14T08:22:28Z","timestamp":1210753348000},"page":"1277-1290","source":"Crossref","is-referenced-by-count":0,"title":["WEIGHTED AVERAGE POWER SIMILAR TESTS FOR STRUCTURAL CHANGE IN THE GAUSSIAN LINEAR REGRESSION MODEL"],"prefix":"10.1017","volume":"24","author":[{"given":"Giovanni","family":"Forchini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2008,5,14]]},"reference":[{"key":"S026646660808050X_ref011","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/48.3-4.419"},{"volume-title":"Asymptotic Expansions of Integrals","year":"1986","author":"Bleistein","key":"S026646660808050X_ref003"},{"key":"S026646660808050X_ref008","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466602184027"},{"volume-title":"Asymptotic Methods in Analysis","year":"1961","author":"De Bruijn","key":"S026646660808050X_ref005"},{"key":"S026646660808050X_ref006","first-page":"494","volume-title":"Companion to Theoretical Econometrics","author":"Dufour","year":"2001"},{"key":"S026646660808050X_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(94)01682-8"},{"key":"S026646660808050X_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-2887-0"},{"volume-title":"Confluent Hypergeometric Functions","year":"1960","author":"Slater","key":"S026646660808050X_ref013"},{"key":"S026646660808050X_ref002","doi-asserted-by":"publisher","DOI":"10.2307\/2951753"},{"key":"S026646660808050X_ref007","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-937X.2006.00402.x"},{"key":"S026646660808050X_ref009","unstructured":"Forchini G. (2005) Weighted Average Power Similar Tests for Structural Change for the Gaussian Linear Regression Model. Discussion paper 20\/05, Department of Econometrics and Business Statistics, Monash University."},{"key":"S026646660808050X_ref010","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600004114"},{"key":"S026646660808050X_ref012","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1111\/j.2517-6161.1985.tb01335.x","article-title":"Locally best invariant tests of the error covariance matrix of the linear regression model","volume":"47","author":"King","year":"1985","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"S026646660808050X_ref014","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1943-0012401-3"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S026646660808050X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T07:58:22Z","timestamp":1738223902000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S026646660808050X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5,14]]},"references-count":14,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["S026646660808050X"],"URL":"https:\/\/doi.org\/10.1017\/s026646660808050x","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"type":"print","value":"0266-4666"},{"type":"electronic","value":"1469-4360"}],"subject":[],"published":{"date-parts":[[2008,5,14]]}}}