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Calculate weights moving average by group python

I use the following code to calculate the moving average excluding current row by groups. However, I would like to change it to weighted moving average. Is there any way to improve this code to calculate weighted moving average?

df_ssALL['wma'] = df.sort_values(by=['date']).groupby('Name')['value'].apply(lambda x: x.rolling(4, 1).mean().shift().bfill())
question from:https://stackoverflow.com/questions/65879520/calculate-weights-moving-average-by-group-python

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