{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T15:10:02Z","timestamp":1719069002040},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,11,11]],"date-time":"2009-11-11T00:00:00Z","timestamp":1257897600000},"content-version":"vor","delay-in-days":314,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2009,1]]},"abstract":"Let be a sequence of i.i.d. real\u2010valued random\nvariables, and\n, . Convergence rates of moderate deviations are derived; that is, the rates of\nconvergence to zero of certain tail probabilities of the partial\nsums are determined. For example, we obtain equivalent\nconditions for the convergence of the series\n, where , , \u03d5<\/jats:italic> and \u03c8<\/jats:italic> are taken from a broad class of functions. These results\ngeneralize and improve some results of Li et al. 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