ขอบเขตเชอร, นอฟ, บทความน, ไม, การอ, างอ, งจากแหล, งท, มาใดกร, ณาช, วยปร, บปร, งบทความน, โดยเพ, มการอ, างอ, งแหล, งท, มาท, าเช, อถ, เน, อความท, ไม, แหล, งท, มาอาจถ, กค, ดค, านหร, อลบออก, เร, ยนร, าจะนำสารแม, แบบน, ออกได, อย, างไรและเม, อไร, งกฤษ, chernoff, boun. bthkhwamniimmikarxangxingcakaehlngthimaidkrunachwyprbprungbthkhwamni odyephimkarxangxingaehlngthimathinaechuxthux enuxkhwamthiimmiaehlngthimaxacthukkhdkhanhruxlbxxk eriynruwacanasaraemaebbnixxkidxyangiraelaemuxir khxbekhtechxrnxf xngkvs Chernoff bound tngtamchuxkhxng ehxrman echxrnxf Herman Chernoff inthvsdikhwamnacaepn caepnklumkhxngkhxkhwamthangkhnitsastrthiihkhxbekhtbnkhxngswnplaykhxngkarkracaykhwamnacaepn chuxkhxngxsmkarnntngephuxepnekiyrtiaek ehxraemn echxrnxf nkkhnitsastr sthiti aelafisiks chawxemrikn khxbekhtechxrnxfichkhxmulcakomemntthnghmdkhxngtwaeprsum dngnnodythwipaelwcungihkhxbekhtthikrachbkwaxsmkarkhxngmarkhxf inrupphunthan aelaxsmkarkhxngechbiechfmak enuxha 1 rupthwip 1 1 karphisucn 2 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displaystyle f t e t delta 1 2 e t f t smmtiih f t 0 displaystyle f t 0 eraidwa t ln 1 d displaystyle t ln 1 delta aela f t 1 d 2 1 d f ln 1 d gt 0 displaystyle f t 1 delta 2 1 delta f ln 1 delta gt 0 ephraachann f t displaystyle f t cungmikhatasudsmburnthi t ln 1 d displaystyle t ln 1 delta eracungidwa Pr X gt 1 d m lt inf t gt 0 e t 1 d m M X t lt inf t gt 0 f t m f ln 1 d m e d 1 d 1 d m displaystyle Pr X gt 1 delta mu lt inf t gt 0 e t 1 delta mu mathcal M X t lt inf t gt 0 f t mu f ln 1 delta mu left frac e delta 1 delta 1 delta right mu tamtxngkarsahrbswnplaydanlangnn eraerimcaksngektwa X lt 1 d m displaystyle X lt 1 delta mu ktxemux X gt 1 d m displaystyle X gt 1 delta mu emuxichrupthwipkhxngkhxbekhtechxrnxf idwa Pr X lt 1 d m lt inf t gt 0 e 1 d m E e t X displaystyle Pr X lt 1 delta mu lt inf t gt 0 e 1 delta mu mathrm E e tX emuxichkarihehtuphlaebbediywkbkarphisucnswnplaydanbn eraidwa Pr X lt 1 d m lt inf t gt 0 e e t 1 e t 1 d m displaystyle Pr X lt 1 delta mu lt inf t gt 0 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index php title khxbekhtechxrnxf amp oldid 4703353, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,