抽样分布课件

第三节抽样分布一、基本概念二、常见分布第三节抽样分布一、基本概念二、常见分布一、基本概念1.统计量的定义一、基本概念1.统计量的定义是不是实例1是不是实例12.几个常用统计量的定义(1)样本平均值(2)样本方差其观察值2.几个常用统计量的定义(1)样本平均值(2)样本方差其观察值(3)样本标准差其观察值其观察值(3)样本标准差其观察值(4)

样本k

阶(原点)矩其观察值(5)样本k阶中心矩其观察值(4)样本k阶(原点)矩其观察值(5)样本k阶中心矩证明再根据第五章辛钦定理知由以上定义得下述结论:辛钦定理证明再根据第五章辛钦定理知由以上定义得下述结论:辛钦定理由第五章关于依概率收敛的序列的性质知由第五章关于依概率收敛的序列的性质知

以上结论是下一章所要介绍的矩估计法的理论根据.由第五章关于依概率收敛的序列的性质知由第五章关于依概率收敛的3.经验分布函数经验分布函数的做法如下:3.经验分布函数经验分布函数的做法如下:实例实例实例实例格里汶科定理格里汶科定理格里汶科定理格里汶科定理二、常见分布统计量的分布称为抽样分布.自由度是指上式右端包含的独立变量的个数.二、常见分布统计量的分布称为抽样分布.自由度是指上式右端包含抽样分布课件根据正态分布的对称性知例1附表1-1附表1-2根据正态分布的对称性知例1附表1-1附表1-2例如利用上面公式,而查详表可得费舍尔(R.A.Fisher)证明:费舍尔资料例如利用上面公式,而查详表可得费舍尔(R.A.Fisher)2.

正态总体的样本均值与样本方差的分布定理一2.正态总体的样本均值与样本方差的分布定理一定理二定理二证明由

t

分布的定义知定理三且两者独立,证明由t分布的定义知定理三且两者独立,辛钦定理返回辛钦定理返回附表1-1标准正态分布表z01234567890.00.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.60.50000.53980.57930.61790.65540.69150.72570.75800.78810.81590.84130.86430.88490.90320.91920.93320.94520.50400.54380.58320.62170.65910.69500.72910.76110.79100.81860.84380.86650.88690.90490.92070.93450.94630.50800.54780.58710.62550.66280.69850.73240.76420.79390.82120.84610.86860.88880.90660.92220.93570.94740.51200.55170.59100.62930.66640.70190.73570.76730.79670.82380.84850.87080.89070.90820.92360.93700.94840.51600.55570.59480.63310.67000.70540.73890.77030.79950.82640.85080.87290.89250.90990.92510.93820.94950.51990.55960.59870.63680.67360.70880.74220.77340.80230.82890.85310.87490.89440.91150.92650.93940.95050.52390.56360.60260.64060.67720.71230.74540.77640.80510.83150.85540.87700.89620.91310.92780.94060.95150.52790.56750.60640.64430.68080.71570.74860.77940.80780.83400.85770.87900.89800.91470.92920.94180.95250.53190.57140.61030.64800.68440.71900.75170.78230.81060.83650.85990.88100.89970.91620.93060.94300.95350.53590.57530.61410.65170.68790.72240.75490.78520.81330.83890.86210.88300.90150.91770.93190.94410.95451.645返回附表1-1标准正态分布表z01234567890.00.50附表1-2标准正态分布表z01234567891.61.71.81.92.02.12.22.32.42.52.62.72.82.93.00.94520.95540.96410.97130.97720.98210.98610.98930.99180.99380.99530.99650.99740.99810.99870.94630.95640.96480.97190.97780.98260.98640.98960.99200.99400.99550.99660.99750.99820.99900.94740.95730.96560.97260.97830.98300.98680.98980.99220.99410.99560.99670.99760.99820.99930.94840.95820.96640.97320.97880.98340.98710.99010.99250.99430.99570.99680.99770.99830.99950.94950.95910.96710.97380.97930.98380.98710.99040.99270.99450.99590.99690.99770.99840.99970.95050.95990.96780.97440.97980.98420.98780.99060.99290.99460.99600.99700.99780.99840.96980.95150.96080.96860.97500.98030.98460.98810.99090.99310.99480.99610.99710.99790.99850.99980.95250.96160.96930.97560.98080.98500.98840.99110.99320.99490.99620.99720.99790.99850.99990.95350.96250.97000.97620.98120.98540.98870.99130.99340.99510.99630.99730.99800.99860.99990.95450.96330.97060.97670.98170.98530.98900.99160.99360.99520.99640.99740.99810.99861.00001.96返回附表1-2标准正态分布表z01234567891.60.94费舍尔资料RonaldAylmerFisherBorn:17Feb1890inLondon,England

Died:29Jul.1962inAdelaide,Australia返回费舍尔资料RonaldAylm