Alterar la distribución de un conjunto de datos para que coincida con otro conjunto de datos

Tengo 2 conjuntos de datos, uno de datos modelados (artificiales) y otro con datos observados. Tienen distribuciones estadísticas ligeramente diferentes y quiero forzar los datos modelados para que coincidan con la distribución de datos observada en la difusión de los datos. En otras palabras, necesito los datos modelados para representar mejor las colas de los datos observados. Aquí hay un ejemplo.

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

¿Cómo puedo forzar que los datos del modelo tengan la variabilidad que tiene lo observado en R?

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