如何在python中平滑具有低速的年度数据的时间序列

import pandas as pd

def smooth_data(data, window_size):
    rolling_mean = data.rolling(window=window_size).mean()
    return rolling_mean

# 示例数据
data = pd.Series([10, 15, 12, 18, 20, 22, 25, 28, 30, 35, 32, 38])

# 平滑数据
smoothed_data = smooth_data(data, window_size=3)
print(smoothed_data)

import pandas as pd

def smooth_data(data, alpha):
    smoothed_data = [data[0]]
    for i in range(1, len(data)):
        smoothed_value = alpha * data[i] + (1 - alpha) * smoothed_data[i-1]
        smoothed_data.append(smoothed_value)
    return pd.Series(smoothed_data)

# 示例数据
data = pd.Series([10, 15, 12, 18, 20, 22, 25, 28, 30, 35, 32, 38])

# 平滑数据
smoothed_data = smooth_data(data, alpha=0.3)
print(smoothed_data)