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Valores iniciais de uma média móvel exponencial no python pandas

Olá,

estou tentando implementar o cálculo de uma média móvel exponencial com o pacote pandas do python.
Eu sei que exitem diversas maneiras de ponderação exponencial para uma média móvel, mas a que eu estou interessado é expressa em pseudocódigo para uma série de dados y_i's como:

MME_i = ((y_i - MME_i-1) * k) + MME_i-1

Onde i é a posição dos dados, k é definido pelo número de períodos (n) da média como: k = 2 / (1 + n). O cálculo das médias começa a partir do enésimo valor e usa-se como aproximação para o primeiro valor da média MME_i-1 uma média simples dos n's primeiros valores.

Nessa aproximação inicial que está meu problema, usando a função pré-construída do pacote pandas Series.ewm eu não consigo ajustar essa forma de aproximação dos valores iniciais. Tentei ligar e desligar a opção de ‘adjust’ e não consegui os resultados que pretendidos.

import pandas as pd
import numpy as np

dados = np.array(((22.17,21.18),(23.08,21.01),(22.68,20.63),(22.22,20.26),(20.85,19.9),(20.19,19.73),(21.58,19.64),(19.63,19.29),(21.95,19.23),(19.18,18.73),(18.18,18.65),(15.01,18.73),(17.39,19.41),(18.53,19.78),(15.7,20.01),(15.4,20.79),(16.05,21.77),(13.95,22.81),(18,24.42),(15.99,25.59),(21.5,27.33),(24.95,28.39),(28.09,29.02),(31,29.19),(30.5,28.86),(29.81,28.56),(31.47,28.33),(31.4,27.76),(32.41,27.1),(28.95,26.13),(29,25.62),(28.85,25),(28.66,np.nan),(28.16,np.nan),(25.77,np.nan),(23.66,np.nan),(23.18,np.nan),(23.63,np.nan),(23.63,np.nan),(23.83,np.nan),(23.02,np.nan),(24.03,np.nan),(23.61,np.nan)))
df = pd.DataFrame(dados, columns = ('Dados','MME_12_controle'))
df = df.iloc(::-1)
n = 12
df('MME_12') = df.Dados.ewm(span = n ,min_periods = n , adjust=False).mean()
print(df)

Onde ‘Dados’ são os valores para calcular a média, ‘MME_12_controle’ é a média calculada pelo método descrito (arredondados em 2 casas decimais) e ‘MME_12’ os valores calculados com a função Series.ewm.

Pergunta: há uma maneira de calcular esse método de média móvel exponencial usando as bibliotecas do Pandas ou Python?

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