函數
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統計
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機率分佈
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範例：對數常態分佈函數
範例：對數常態分佈函數
1.
使用
dgamma
函數計算向量
x
與形狀參數
s
的機率密度：
<region id="ID0E3ZRIB" top="115.20000000000002" left="38.400000000000006" xml:lang="zh_TW" height="25.6" width="39.22" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="13" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">s</id> <real xml:lang="zh_TW">3</real> </define> </math> </region>
<region id="ID0EO1RIB" top="192.00000000000003" left="38.400000000000006" xml:lang="zh_TW" height="100" width="64.4" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="15" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">x</id> <matrix rows="5" cols="1" xml:lang="zh_TW"> <real xml:lang="zh_TW">7</real> <real xml:lang="zh_TW">2</real> <real xml:lang="zh_TW">6</real> <real xml:lang="zh_TW">9</real> <real xml:lang="zh_TW">11</real> </matrix> </define> </math> </region>
<region id="ID0EA2RIB" top="307.20000000000005" left="38.400000000000006" xml:lang="zh_TW" height="100" width="179.95333333333335" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="17" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">dgamma</id> <sequence xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">s</id> </sequence> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> </math> </region>
2.
使用
pgamma
函數計算向量
x
與形狀參數
s
的累積機率分佈：
<region id="ID0EV4RIB" top="499.20000000000005" left="38.400000000000006" xml:lang="zh_TW" height="100" width="179.95333333333335" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="19" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">pgamma</id> <sequence xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">s</id> </sequence> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
3.
使用
qgamma
函數計算向量
x/100
與形狀參數
s
的累積機率逆分佈：
<region id="ID0EKASIB" top="710.40000000000009" left="38.400000000000006" xml:lang="zh_TW" height="100" width="200.32" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="21" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">qgamma</id> <sequence xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> <real xml:lang="zh_TW">100</real> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">s</id> </sequence> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
函數
qgamma
的第一個引數是機率且必須小於 1，因此會將
x
除以 100。
4.
使用
rgamma
函數建立含有伽瑪分佈與形狀參數
s
的
m
亂數向量：
<region id="ID0EPDSIB" top="940.80000000000018" left="38.400000000000006" xml:lang="zh_TW" height="25.6" width="46.553333333333342" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="23" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">m</id> <real xml:lang="zh_TW">7</real> </define> </math> </region>
<region id="ID0EBESIB" top="1036.8000000000002" left="38.400000000000006" xml:lang="zh_TW" height="137.2" width="183.03333333333336" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="25" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">rgamma</id> <sequence xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">m</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">s</id> </sequence> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
重新計算工作表會導致函數
rgamma
傳回一組新的亂數。
複製運算式
