Alterando a distribuição de um conjunto de dados para corresponder a outro conjunto de dados

Eu tenho 2 conjuntos de dados, um dos dados modelados (artificiais) e outro com dados observados. Eles têm distribuições estatísticas ligeiramente diferentes e eu quero forçar os dados modelados a corresponderem à distribuição de dados observada na propagação dos dados. Em outras palavras, eu preciso dos dados modelados para representar melhor as caudas dos dados observados. Aqui está um exemplo.

model <- c(37.50,46.79,48.30,46.04,43.40,39.25,38.49,49.51,40.38,36.98,40.00,
38.49,37.74,47.92,44.53,44.91,44.91,40.00,41.51,47.92,36.98,43.40,
42.26,41.89,38.87,43.02,39.25,40.38,42.64,36.98,44.15,44.91,43.40,
49.81,38.87,40.00,52.45,53.13,47.92,52.45,44.91,29.54,27.13,35.60,
45.34,43.37,54.15,42.77,42.88,44.26,27.14,39.31,24.80,16.62,30.30,
36.39,28.60,28.53,35.84,31.10,34.55,52.65,48.81,43.42,52.49,38.00,
38.65,34.54,37.70,38.11,43.05,29.95,32.48,24.63,35.33,41.34)

observed <- c(39.50,44.79,58.28,56.04,53.40,59.25,48.49,54.51,35.38,39.98,28.00,
28.49,27.74,51.92,42.53,44.91,44.91,40.00,41.51,47.92,36.98,53.40,
42.26,42.89,43.87,43.02,39.25,40.38,42.64,36.98,44.15,44.91,43.40,
52.81,36.87,47.00,52.45,53.13,47.92,52.45,44.91,29.54,27.13,35.60,
51.34,43.37,51.15,42.77,42.88,44.26,27.14,39.31,24.80,12.62,30.30,
34.39,25.60,38.53,35.84,31.10,34.55,52.65,48.81,43.42,52.49,38.00,
34.65,39.54,47.70,38.11,43.05,29.95,22.48,24.63,35.33,41.34)

summary(model)
Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
16.62   36.98   40.38   40.28   44.91   54.15 

summary(observed)
Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
12.62   35.54   42.58   41.10   47.76   59.2

Como forçar os dados do modelo a terem a variabilidade observada em R?

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