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Author: WikiMatrix
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English[en]
An example of the online algorithm for kurtosis implemented as described is: def online_kurtosis(data): n = mean = M2 = M3 = M4 = 0 for x in data: n1 = n n = n + 1 delta = x - mean delta_n = delta / n delta_n2 = delta_n * delta_n term1 = delta * delta_n * n1 mean = mean + delta_n M4 = M4 + term1 * delta_n2 * (n*n - 3*n + 3) + 6 * delta_n2 * M2 - 4 * delta_n * M3 M3 = M3 + term1 * delta_n * (n - 2) - 3 * delta_n * M2 M2 = M2 + term1 kurtosis = (n*M4) / (M2*M2) - 3 return kurtosis Pébaÿ further extends these results to arbitrary-order central moments, for the incremental and the pairwise cases, and subsequently Pébaÿ et al. for weighted and compound moments.
Persian[fa]
مثال الگوریتم برخط برای کشیدگی به صورت زیر پیادهسازی شده است: def online_kurtosis(data): n = 0 mean = 0 M2 = 0 M3 = 0 M4 = 0 for x in data: n1 = n n = n + 1 delta = x - mean delta_n = delta / n delta_n2 = delta_n * delta_n term1 = delta * delta_n * n1 mean = mean + delta_n M4 = M4 + term1 * delta_n2 * (n*n - 3*n + 3) + 6 * delta_n2 * M2 - 4 * delta_n * M3 M3 = M3 + term1 * delta_n * (n - 2) - 3 * delta_n * M2 M2 = M2 + term1 kurtosis = (n*M4) / (M2*M2) - 3 return kurtosis Pébay سپس این نتایج را برای گشتاورهای مرکزیِ رده-اختیاری، برای موارد افزایشی و دوبه دو تعمیم داد.