CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '91339cc66cb35c30',cH: '5JeLNwd_LIA8l4GVsGp5czXiIPsYlxc_JCTRMBav6qQ-1739772606-1.2.1.1-AA6uxRd7AtwY2bf.W5FsC2akedW9gpvNRVAmAsQW1mZyZLlADhEdyC7Dtyvwc0zR',cUPMDTk: "\/search?q=non-asymptotic%20confidence%20set&__cf_chl_tk=SHFvS923p7vm90ephrvSQoiyTci07FCWObx_OjpBKHg-1739772606-1.0.1.1-71XJwiEqiNdHMrBqXAN2_82G2E5TLEb20qS6VqkRKbE",cFPWv: 'b',cITimeS: '1739772606',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/search?q=non-asymptotic%20confidence%20set&__cf_chl_f_tk=SHFvS923p7vm90ephrvSQoiyTci07FCWObx_OjpBKHg-1739772606-1.0.1.1-71XJwiEqiNdHMrBqXAN2_82G2E5TLEb20qS6VqkRKbE",md: "kP_vXnAqyzBI_5yM8AEs1741mxkuPsm5XSV7g_VtOqY-1739772606-1.2.1.1-GCRfiJB4unIlPRftEXXJE5nxCJT0zlRTMCFM8IXkHmccqAYRv9gOXBl6LsWAJgD90UBVsYnSCAUhct3ZcIkJauGJQnTiJ0.46oIuAxGKw2Ayxk4O3J8VKOI9UesyTT0dujlrKr5E24uxvUudRHqV8YafmTW7KwepCY2EtiRoW0xe7MzNeC6XRAjXZB5tjStX.lxXNqSY86EGiCYohTq8uObHO35GgPXkXsc.fdfVsTFYlONZUx8DhhCMGjJQtGEEU3W27YYhkTvmjTw0H7s7zRygq.dz4G8dCxS8O8jsTj0k8oAigzE8Xo3EnBYnlrYBUPRyzSGo5VAfp5OUtfZ.eSVjbtrAvS0UqFtV4c14CDroqMGT7aOMhks5trSMeugKMwWphR8INpN_fkrzbJsQTMcjDr5KwiQf3h46A4fIknwNqRKOS1F6EcuUJG_jWgvpOXxIz8qSNZ7PkfKAsZIX5LMfxEzY73cHErIbZz528NnxNdTM4Zigixh5EjEXJk8nT37P0YWlzqYFTbiwSSZoZ7cc8q16AW99l0PueIupi7f.KFo69aYt52PjmDMHlGXDUy3VaWogbPYDwUVE4pDIaQ3xp7w_bRP0LZKPH_9eYnU3jkzophMxjg3ojM1u2_Xa0Lio59j7o56p0pc333zifrfB2l6LKClSgzS9DWoYQot3PcNX2d9YUIxhq1L6s7JW1_xTwqrQtyOPpn5XWn25AoMTLMJ_1hHT0FmWpoTHztxtI.ALytevj8w4bW0blmsKrrbzKBo3gN_MJLvdLFwbiZf3x9_Aq3ZCTwE8r66fe9Bq4tu.YXPR9L5hxeVSubpLx9rCnw9JwED.xq7SEzpBw1VN_SDJJB5lm1vtBhnM_TZgpfUACcyrFUChhCKjfzCVBst.Cj8mfA8SgMhuo4EE6Y7928MCwbLN6vbXW3DchlH83fyBB42hoDerHyByRaXa.sMQvIeJcdlvscrDaHcoM4M8AVUG9W3Ks2Sv7I0VEKn0up0sI09jroUJJxwJqXohqOAMXr4oieHyNtrJahti3b507ZKS2.5.._ChsshIUMGUpmSFJwEfQ50O_BgUYArTEMXM0IEaumiuW339KnRWHVDm.fAFN41IPHuf3t0244auSuMdlctq6J4jbmxcCUnLB.aqzOaghYNZle2iEO4.3KostXXglx07AqQZa5rPtJJfEQu88Wjse0oTouwqhJoIujCclj0BTtHcWsL6bnCqLQwbZxPwTYvshKZGf0oSQwlNvbKGxdNGnLYeiWwpr3pEf_v82jo6yHVoB2XZwTsBkzC3zV0fLKfJ5ovzV86za_mYKat._Jiz8oC4bYB5xAz_blzHe52OXcH9aFGST6yuDpd4AiLS3ILhJtWYdX7CjozIdxfQpOq1ljxs9QNHhOYnCYFJ7s6ddNRUfVd3XWAvMdwc_BlITiGaNy4wYx7kp3qPvV2yPHrD9.3JqoKIxRtei9MaAuPvXJYFkLmdqtnXucCEQiGgjlHMxVzsDJTsJ5WMylaNn9tVFbFoICRME9ApnQMH.e_b5o__HMOhw9lIWKHoyG5ncW5NgHhW4HfrlJfRyrcpbcVDZh4vzuzeRjWVBy7U6uN37Cj8vBwbl_ybVUuP7uyTL7D1gyAUNjri3jqu_F9mgjP1FYu32XbE5bMu.gtKD9ayi7e9tX3G0suDeMxAHX2FH_GCFwyAeZ63xJE6HiIYceOTXjdrpz3Wyi6XJkcHP9TeEhWOXJEr4jS_G3cHsCTWoOD3Ar7ZDwmDKC3z9JaEFjeWAILkW.NWI1aFtw2YBk05BUfDj2DMyWJOtImxTeM3Ct1fQmKjjiwxf.QoSKwgyoBo3tDeGjFSYt2NwBhBcTXfbZVDh4G0iBgZGUc2t6Qlj2RkQOXUjaUwVI0J2Tj7Oz1QI2.uuNqHNTmyPRUp7FIEm208zk.BxLqll4n6c2kcWvrLtIuBiaG4aUVP.nB.MwUg6DQi6yw8lDZz",mdrd: "dmpVBZgoTHeZ2sWoBxJSt.7wpIbcKmZfPOjfEPM553Q-1739772606-1.2.1.1-_LXIEfQpr8xY7RJqQttRB0PzIBeKwAeWeD_OeALQbJ.spyO.ZQ8fIHW1b9c366n.AtSgaW3BYzORPJDRv2XPxUhh0b1XZC7eJmieEMnfHjoaOcu.crk2nLiDHECNOblrNhVJQpwTLvErI.VJ8cJsrg0ToFD1p9FMDlP1EdSSjJoayXPJYonTEnF8LfgfmReez5UYHzbyKjf9BioRAnsPh8Q77IMcxwu4xg_1laJ3x17p13Tv_7o5gxz9ybX3O9LrWrUAzyayV0.Z.9wOkemJuftr6DXKZ3KT3EuzYHlKx0VErnjCAbuCLXa2bRx6WYpmLVoDlmr8jRF.kJdgri4Q0gz9o2nQREOuYCEffYlc.d3pcSpiYkT4TUs.Yp_C8Zvta9.9ujVUI8GIiP1OiTbB7zLumk7Oq6q0yv1zd_fnQ.EYfMDUtCSg4R4Cn5TEolb_9U50VMUEOUv4e_FRZn85CYHpKZpj_3XxDb6J13YLjSFd0RXLKDrwitdOz2gTqng79HJ2IlaepzCm4KPf5JGoZ2ujZ0_yALppLZT8ouMJwMpR4uD1tJNOO8ODIXhqRVejXwIFhGWedMQQ8RXNZtsR3wpa3hSuQIrb.1inSPVyURFpLb2jgPuYpoGfenb8WFow0iL4XMrARconJ.k9GuSBao_ra_7yLqoxaFdjate._rW9BpWHcmxw7IEZG01XSkY0GvfVl0jfBMuuIduzOqhfhAQ0XY6.3K3foyWb9RCfVkgGkbC8UN2CNmZr4LzlCdrZVkkN6sXVTrwTqhFs57dygOcODWfbr9.asgRewnH0uNyRPM97Y25HtCWKCXTGCWub_vf1qE_zdw0xj8e98AG1P7lLk4.Db1SnYutMouGOzxAEtw0dcZUI45EjHKVHX5j25buuPMyMxuC_5y8vK4H_EjMS2O5TOBOywku6AoJ6gXz36UGaEr0vrWPXjlgaRl002DCWT4y_YASswnGPhP6pr4SwFjAlM6wbA.zfVB3mUD7oq_hfAOEqq7I6pQtYKDMeRK2JBk5.4k2D4pm8qoMPMHbDvEl6dxrUvI_QS30p79X7j0IRGgdkWdMzUUEWXrDPL.unuPJyIqDy.RmfFR1GOMZgCOzQGo9IlSD02bAoZzsTS1KuddzQuIfN_rwz5SRqss9sTlqpgdBKvSbtnWLcV7R.22tUcrAoIOQNvL60aatFL3ucqONQbXsPEK2Tz.tXyflquGCapiaSDZI_nHBzMoAVzhhw4kBxNdADi1MXI1Ixv5VjX9rGK9RSZsO4hlUMDpquOnTquF_On8inNR7Kk7e5ouypTSPaoP7xBxWflLRZchA6uA.SzlhwMUxDs9sJS_0m4g9tr25ee0HtnphxwE8KWeokSh6EK78.Wd_WzbLUzAMqYoihKB_3pJyMMap3udEs515SnAfjcb6XBaZVo98uWc3ZNShNIxAfmO8uQvJWZPGMjCIQUpLY62uMPBPryNj6qDXjqDtdOkSgZhcQ_k7OlnTQlv7tD.HQ6sAFyHyXW1VWoN0g_nRtqUBvzBSDjMC3ouBOiFcUO.xOMSvEJA6qP_f2S4xHvaGBhmN.Ja9gOeP6.EGWrkBoeZsofSrxhu3XIhsryKE77GL81BIxCI54hzLiFHiT3ZIY6IMkH.Gx4Sr5XMyEWfk2WEEwSEb5FCPfq_Q7lZ2FIFPAUHqFsqfB_ifpETk7yLvUyVBOE8.9LajeC11sAAAL.rKtWhgigBMhhyaHjgTxql3f.bX4wsNhJ27nNN2tOHsZ.P_5JF.JibuKbD_SQFeC39BVyALMv8zaiLkC15GQzwgmo6vmLBi5XRfaxx35AwFvTc6eB8eshvswOGmJQJGneVQ8AnLYRYjSOAMLTUUsbsYYEF0jZQtlx0pfu73UX9UoAVCIRT8VXPt0QLrKdhGbqwJhXsyEQDsGC7xbcV3JheN9Bn3JvGL1ywZRE9339DTnhumHMVBNIAC0jxOjKai29o4AUwnc"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=91339cc66cb35c30';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/search?q=non-asymptotic%20confidence%20set&__cf_chl_rt_tk=SHFvS923p7vm90ephrvSQoiyTci07FCWObx_OjpBKHg-1739772606-1.0.1.1-71XJwiEqiNdHMrBqXAN2_82G2E5TLEb20qS6VqkRKbE" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>