• 熟记常见的置信区间的分位数


    import numpy as np
    import scipy.integrate as integrate
    
    average_, standard_deviation = 0, 1
    f = lambda x: (np.exp(-(x - average_) ** 2 / (2 * standard_deviation ** 2))) / (
        np.sqrt(2 * np.pi)) / standard_deviation
    r = integrate.quad(f, -1.96, 1.96)
    x, step, l = 1, 0.01, []
    for i in range(200):
        x += step
        r_ = integrate.quad(f, -x, x)
        l.append([x, r_[0], r_[1]])
    l_6 = []
    while r_[0] > 0.6:
        x -= step
        r_ = integrate.quad(f, -x, x)
        l_6.append([x, r_[0], r_[1]])
    l_6 = sorted(l_6, reverse=False, key=lambda l: l[0])
    n99, l_99 = float('{}{}'.format('0.', ''.join(['9' for i in range(9)]))), []
    while r_[0] < n99:
        x += step
        r_ = integrate.quad(f, -x, x)
        l_99.append([x, r_[0], r_[1]])
    l_99 = sorted(l_99, reverse=True)
    dd = 9
    

    90% 1.65

    <class 'list'>: [1.6400000000000006, 0.8989948330517928, 6.786100643460162e-14]

    <class 'list'>: [1.6500000000000006, 0.9010570639327039, 8.072601275034688e-14]

    95% 1.96

    <class 'list'>: [1.9500000000000008, 0.9488238809567229, 9.078658007177475e-12]

    <class 'list'>: [1.9600000000000009, 0.9500042097035593, 1.047408678736607e-11]

    6个9 4.90

    <class 'list'>: [4.889999999999939, 0.9999989916402233, 7.499501297747457e-10]

    <class 'list'>: [4.899999999999939, 0.9999990416334469, 7.649097605311184e-10]

    1.01 68.75%

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  • 原文地址:https://www.cnblogs.com/rsapaper/p/8952316.html
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