{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,15]],"date-time":"2026-10-15T16:29:57Z","timestamp":1792081797463,"version":"4.4.0"},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2009,2,11]],"date-time":"2009-02-11T00:00:00Z","timestamp":1234310400000},"content-version":"unspecified","delay-in-days":6465,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1991,6]]},"abstract":"<jats:p>\n                    This paper presents maximal inequalities and strong law of large numbers for weakly dependent heterogeneous random variables. Specifically considered are\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>r<\/jats:sup>\n                    mixingales for\n                    <jats:italic>r<\/jats:italic>\n                    &gt; 1, strong mixing sequences, and near epoch dependent (NED) sequences. We provide the first strong law for\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>r<\/jats:sup>\n                    -bounded\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>r<\/jats:sup>\n                    mixingales and NED sequences for 1 &gt; r &gt; 2. The strong laws presented for \u03b1-mixing sequences are less restrictive than the laws of McLeish [8].\n                  <\/jats:p>","DOI":"10.1017\/s0266466600004412","type":"journal-article","created":{"date-parts":[[2009,3,10]],"date-time":"2009-03-10T11:45:16Z","timestamp":1236685516000},"page":"213-221","source":"Crossref","is-referenced-by-count":42,"title":["Strong Laws for Dependent Heterogeneous Processes"],"prefix":"10.1017","volume":"7","author":[{"given":"Bruce E.","family":"Hansen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,2,11]]},"reference":[{"key":"S0266466600004412_ref003","volume-title":"Convergence of Probability Measures","author":"Billingsley","year":"1968"},{"key":"S0266466600004412_ref009","unstructured":"9. Phillips P.C.B. & Solo V. . Asymptotics for linear processes. Cowles Foundation Discussion Paper No. 932 (1989)."},{"key":"S0266466600004412_ref010","doi-asserted-by":"publisher","DOI":"10.2307\/1911058"},{"key":"S0266466600004412_ref004","volume-title":"A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models","author":"Gallant","year":"1988"},{"key":"S0266466600004412_ref008","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996269"},{"key":"S0266466600004412_ref012","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600012032"},{"key":"S0266466600004412_ref005","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9892.1980.tb00297.x"},{"key":"S0266466600004412_ref011","doi-asserted-by":"publisher","DOI":"10.2307\/2938213"},{"key":"S0266466600004412_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1913568"},{"key":"S0266466600004412_ref002","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600013396"},{"key":"S0266466600004412_ref006","volume-title":"Martingale Limit Theory and Its Application","author":"Hall","year":"1980"},{"key":"S0266466600004412_ref007","doi-asserted-by":"publisher","DOI":"10.1137\/1107036"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466600004412","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T17:36:58Z","timestamp":1558114618000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466600004412\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,6]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1991,6]]}},"alternative-id":["S0266466600004412"],"URL":"https:\/\/doi.org\/10.1017\/s0266466600004412","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,6]]}}}