概率论与数理统计英文版总结.docx
《概率论与数理统计英文版总结.docx》由会员分享,可在线阅读,更多相关《概率论与数理统计英文版总结.docx(11页珍藏版)》请在第壹文秘上搜索。
1、SampleSpace样本空间Thesetofallpossibleoutcomesofastatisticalexperimentiscalledthesamplespace.Event事件Aneventisasubsetofasamplespace.certainevent(必然事件):ThesamplespaceSitself,iscertainlyanevent,whichiscalledacertainevent,meansthatitalwaysoccursintheexperiment.impossibleevent(不可能事件):Theemptyset,denotedby0,i
2、salsoanevent,calledanimpossibleevent,meansthatitneveroccursintheexperiment.Probabilityofevents(概率)Ifthenumberofsuccessesinntrailsisdenotedbys,andifthesequenceofrelativefrequenciess/nobtainedforlargerandlargervalueofnapproachesalimit,thenthislimitisdefinedastheprobabilityofsuccessinasingletrial.equal
3、lylikelytooccur”probability(古典概率)IfasamplespaceSconsistsofNsamplepoints,eachisequallylikelytooccur.AssumethattheeventAconsistsofnsamplepoints,thentheprobabilityPthatAoccursisMutuallyexclusive(互斥事件)Definition2.4.1EventsA,A2,Aarecalledmutuallyexclusive,ifAiAj=0,Xfij.Theorem2.4.1IfAandBaremutuallyexclu
4、sive,thenP(AB)=P(八)+P(B)(2.4.1)Mutuallyindependent事件的独立性TwoeventsAandBaresaidtobeindependentifOrTwoeventsAandBareindependentifandonlyifP(BA)=P(B).ConditionalProbability条件概率Theprobabilityofaneventisfrequentlyinfluencedbyotherevents.DefinitionTheconditionalprobabilityofB,givenA,denotedbyP(3A),isdefine
5、dbyP(BlA)=P(;(AFifP(八)0.(2.5.1)Themultiplicationtheorem乘法定理If142,Aareevents,thenIftheeventsl42,4kareindependent,thenforanysubsetzl2,1,2,(全概率公式totalprobability)Theorem2.6.1.IftheeventsB1,B2,纥constituteapartitionofthesamplespaceSsuchthatP(Bj)0forj=1,2,k,thanforanyeventAOfS,kkP(八)=2P(ABj)=P(Bj)P(ABj)(2



- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 概率论 数理统计 英文 总结
