{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,27]],"date-time":"2026-09-27T04:03:06Z","timestamp":1790481786628,"version":"4.1.0"},"reference-count":18,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2009,2,11]],"date-time":"2009-02-11T00:00:00Z","timestamp":1234310400000},"content-version":"unspecified","delay-in-days":5673,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1993,8]]},"abstract":"<jats:p>A formal statistical test of stationary-ergodicity is developed for known Markovian processes on \u211d<jats:sup><jats:italic>d<\/jats:italic><\/jats:sup> This makes it applicable to testing models and algorithms, as well as estimated time series processes ignoring the estimation error. The analysis is conducted by examining the asymptotic properties of the Markov operator on density space generated by the transition in the state space. The test is developed under the null of stationary-ergodicity, and it is shown to be consistent against the alternative of nonstationary-ergodicity. The test can be easily performed using any of a number of standard statistical and mathematical computer packages.<\/jats:p>","DOI":"10.1017\/s0266466600007994","type":"journal-article","created":{"date-parts":[[2009,3,10]],"date-time":"2009-03-10T15:46:44Z","timestamp":1236700004000},"page":"589-601","source":"Crossref","is-referenced-by-count":15,"title":["A Consistent Test of Stationary-Ergodicity"],"prefix":"10.1017","volume":"9","author":[{"given":"Ian","family":"Domowitz","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mahmoud A.","family":"El-Gamal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,2,11]]},"reference":[{"key":"S0266466600007994_ref017","volume-title":"Numerical Recipes in C; The Art of Scientific Computing","author":"Press","year":"1988"},{"key":"S0266466600007994_ref003","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600011816"},{"key":"S0266466600007994_ref014","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176351051"},{"key":"S0266466600007994_ref015","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6257-2"},{"key":"S0266466600007994_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(87)90086-8"},{"key":"S0266466600007994_ref012","doi-asserted-by":"publisher","DOI":"10.2307\/1913624"},{"key":"S0266466600007994_ref010","volume-title":"Stochastic Processes","author":"Doob","year":"1953"},{"key":"S0266466600007994_ref007","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/64.2.247"},{"key":"S0266466600007994_ref011","unstructured":"11. 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