[R] Howto Draw Bimodal Gamma Curve with User Supplied Parameters

[Gundala Viswanath]

Hi,

Suppose I have the following vector (data points):
> x
  [1]  36.0  57.3  73.3  92.0 300.4  80.9  19.8  31.4  85.8  44.9  24.6  48.0
 [13]  28.0  38.3  85.2 103.6 154.4 128.5  38.3  72.4 122.7 123.1  41.8  21.7
 [25] 143.6 120.2  46.6  29.2  44.8  25.0  57.3  96.4  29.4  62.9  66.4  30.0
 [37]  24.1  14.8  56.6 102.4 117.5  90.4  37.2  79.6  27.8  17.1  26.6  16.3
 [49]  41.4  48.9  24.1  23.3   9.9  11.5  15.0  23.6  29.3  27.0  19.2  18.7
 [61]   4.1  13.0   3.3   5.5  38.2   8.5  39.6  39.2  16.1  35.3  23.3  31.5
 [73]  38.8  51.5  28.4  18.8  24.1  25.4  28.8  32.8  31.0  28.8  33.3  55.5
 [85]  39.2  21.0  43.7  16.3  50.6  34.6  66.3  50.5  59.4  46.7  51.9 125.6
 [97]  69.8  43.7  86.8  50.6 132.4  56.0   6.1   4.9   7.1   7.1  12.8  12.1
[109] 164.2  69.3  15.6  11.4  34.3   9.2  17.6  21.7  19.2  30.7  61.1  35.8
[121] 185.8 118.4  13.0   9.6  19.1  45.2  94.5 248.0  56.3  24.4  13.8  12.8
[133]  35.0  31.6  22.5  50.1  18.7  22.1  28.3  39.5  48.2  33.1  43.5  35.1
[145]  37.4  30.3  15.8  13.9  15.3  16.1  12.7  11.4  13.0  13.8  31.5  25.3
[157]  65.2  39.5


And the following parameter set (2 component) for gamma function.

                             comp.1    comp.2
alpha (shape)  2.855444  2.152056
beta  (scale)   10.418785 39.296224

These params are predefined/precalculated by user.

My question is how can I create a bimodal gamma curve - based on the
two parameter set -
on top of the histogram of data points above?

- Gundala Viswanath
Jakarta - Indonesia