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laigs218 發表於 2021-7-23 11:59

二項式分佈

Option Explicit
Public n As Integer, p As Single, x As Integer
'計算符合二項式分佈事件的概率
'n:試驗次數
'p:一次試驗中事件A出現的概率
'x:n次試驗中事件A出現的次數
'Bin:事件A出現x次的概率
Public Sub Bino(n As Integer, p As Single, x As Integer, bin As Double)
    Dim Q As Single, NN As Double, NI As Double, M As Double
    Dim I As Integer, C As Double
    Q = 1 - p
    If x = 0 Then
        bin = Q ^ n
        Exit Sub
    End If
    NN = 0
    For I = 1 To n
        NN = NN + Log(I)
    Next I                                              'NN = n!
    M = 0
    For I = 1 To x
        M = M + Log(I)
    Next I                                              'x!
    NI = 0
    For I = 1 To n - x
        NI = NI + Log(I)
    Next I                                              '(n-x)!
    C = NN - M - NI
    C = C + Log(p ^ x) + Log(Q ^ (n - x))
    bin = Exp(C)
End Sub

'計算二項式分佈函數
'n:試驗次數
'p:一次試驗中事件A出現的概率
'x:事件A出現的次數
'A(1,0 To x):事件概率
'A(2,0 To x):下側概率,即分佈函數
'A(3,0 To x):上側概率
Public Sub ABino(n As Integer, p As Single, x As Integer, A() As Double)
    Dim y As Integer, B As Double
    B = 0
    For y = 0 To x
        Bino n, p, y, A(1, y)
        B = B + A(1, y)
        If B > 1 Then B = 1
        A(2, y) = B
        A(3, y) = 1 - B
    Next y
End Sub

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