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时间:2018-08-26
《常见概率分布特征总结》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、常见概率分布特征总结八大分布0-1分布P(X=1)=p,P(X=0)=q二项分布在重贝努里试验中,设事件发生的概率为。事件发生的次数是随机变量,设为,则可能取值为。,其中,则称随机变量服从参数为,的二项分布。记为。当时,,,这就是(0-1)分布,所以(0-1)分布是二项分布的特例。泊松分布设随机变量的分布律为,,,则称随机变量服从参数为的泊松分布,记为或者P()。泊松分布为二项分布的极限分布(np=λ,n→∞)。超几何分布随机变量X服从参数为n,N,M的超几何分布,记为H(n,N,M)。几何分布,其中p≥0,q=1-p。随机变量X服从参数为p的几
2、何分布,记为G(p)。otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthw
3、estOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand均匀分布设随机变量的值只落在[a,b]内,其密度函数在[a,b]上为常数,即 a≤x≤b其他,则称随机变量在[a,b]上服从均匀分布,记为X~U(a,b)。分布函数为 a≤x≤b0,x4、x>b。 当a≤x15、etaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand正态分布设随机变量的密度函数为,,其中、为常数,则6、称随机变量服从参数为、的正态分布或高斯(Gauss)分布,记为。具有如下性质:1°的图形是关于对称的;2°当时,为最大值;若,则的分布函数为。。参数、时的正态分布称为标准正态分布,记为,其密度函数记为,,分布函数为。是不可求积函数,其函数值,已编制成表可供查用。Φ(-x)=1-Φ(x)且Φ(0)=。如果~,则~。。otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitt7、eeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorde8、roftheCountypartyCommitteeSecretary,Ministersand
4、x>b。 当a≤x15、etaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand正态分布设随机变量的密度函数为,,其中、为常数,则6、称随机变量服从参数为、的正态分布或高斯(Gauss)分布,记为。具有如下性质:1°的图形是关于对称的;2°当时,为最大值;若,则的分布函数为。。参数、时的正态分布称为标准正态分布,记为,其密度函数记为,,分布函数为。是不可求积函数,其函数值,已编制成表可供查用。Φ(-x)=1-Φ(x)且Φ(0)=。如果~,则~。。otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitt7、eeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorde8、roftheCountypartyCommitteeSecretary,Ministersand
5、etaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand正态分布设随机变量的密度函数为,,其中、为常数,则
6、称随机变量服从参数为、的正态分布或高斯(Gauss)分布,记为。具有如下性质:1°的图形是关于对称的;2°当时,为最大值;若,则的分布函数为。。参数、时的正态分布称为标准正态分布,记为,其密度函数记为,,分布函数为。是不可求积函数,其函数值,已编制成表可供查用。Φ(-x)=1-Φ(x)且Φ(0)=。如果~,则~。。otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitt
7、eeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorde
8、roftheCountypartyCommitteeSecretary,Ministersand
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