demo data for glmgampoi issue

data.R

pars <- list(Y = structure(c(46910819.9790649, 106932464.945086, 47871319.9775817, 
107009304.974582, 31754130.0099559, 67657619.9535588, 33118039.9730373, 
72316044.9935353, 46901215.0102922, 98729795.0210831, 43145660.0025119, 
91362760.0231563, 39572599.9997401, 84379924.9702695, 30947309.992971, 
69607434.9551284, 55180725.0019158, 107499160.056843, 56122014.9924626, 
105568554.950027, 41935429.9847383, 64420735.0140891, 44557595.0019883, 
75351225.0170069, 42857510.0085098, 111677335.095885, 51453984.9920682, 
123750819.967743, 42838300.0033168, 110611180.039133, 43923664.993523, 
117459544.975627, 36258875.0053207, 108939910.016663, 32743445.0015492, 
103272959.96087, 32195959.9838579, 89729909.9417155, 26845975.0033653, 
85513315.0190852, 49244835.0158803, 131223509.953129, 51492404.9993754, 
126805209.99292, 29160780.0011876, 84475974.9963383, 27960154.9865043, 
76561454.9955116, 67167764.9902153, 129513819.958241, 68243524.9767739, 
131790205.009484, 67734459.9614307, 131146670.034905, 65438865.0299792, 
123856475.000446, 49667455.0060531, 92342470.0489491, 49811530.0185153, 
88394815.0373347, 48716559.9518192, 94321099.994457, 50118890.0266007, 
95252785.0019527, 47688825.0210976, 131953489.928541, 47631194.9824942, 
134393160.036439, 53893654.9696051, 147407934.983161, 52270409.9761012, 
148041864.883265, 31475584.9924006, 86502630.037067, 29890759.9933816, 
95973160.0371538, 35135089.9855462, 102456534.991344, 32522529.9993313, 
96126840.0857273, 86070405.0085994, 150500744.878199, 88692570.0445594, 
155476134.934892, 93994529.9652935, 163236974.970193, 79366114.989824, 
145544564.997088, 55344010.0679089, 109122405.107042, 62653415.0294054, 
122434935.041726, 71461199.9494881, 131290744.937013, 65313999.9893257, 
181582524.982565, 69636249.993445, 175041519.970114, 72191179.9931842, 
187038164.997849, 74957420.0526621, 193108525.055011, 48284334.9997628, 
136112454.965306, 46824375.0033395, 131770994.88169, 45690984.9908032, 
127775315.033757, 43097635.0052253, 128025045.074147, 56525425.0142897, 
142057950.016333, 54508375.021945, 128707000.019112, 38842619.9803958, 
101678529.964664, 33838414.9802407, 90450284.9262177, 38833015.0181028, 
74409934.9690433, 40561915.0069765, 78367195.0371176, 30169304.9870408, 
52808290.0264604, 27623980.0070981, 48610905.019481, 43212895.0050502, 
103887680.043525, 42867115.0069508, 97769294.9871117, 33223694.9785025, 
85119510.0421687, 30524690.0050065, 76724740.0232434, 41022954.9777299, 
100881315.046687, 39582204.9955825, 108411634.990261, 24002895.0054196, 
45787034.9738978, 62413289.9994943, 165647830.071441, 41685700.0053557, 
129023965.03965, 42790274.9857765, 98182309.9902948, 38295134.9924161, 
94465175.0253002, 64833749.9984866, 139944849.985923, 37834095.0058558, 
101851420.048117, 13811990.0006096, 30630345.017069, 15223925.0183757, 
31955835.010958, 11564420.0029624, 32541739.9803225, 11007329.9995918, 
32282405.0063016, 19430914.9925056, 42569360.00399, 16146004.99721, 
35922699.9958945, 18115030.0076278, 37776465.0031971, 14004089.9931073, 
32887520.0048943, 14599600.0025562, 30438245.0057805, 16261265.0019931, 
30966519.9966819, 16001930.0158765, 26288885.0176825, 16818354.9996971, 
28776579.9963665, 6704289.99786067, 14772489.9816763, 7943335.00098136, 
16616649.9883427, 7684000.00231451, 16616650.0148021, 7991359.98525068, 
17894114.990791, 7194145.00141072, 17385049.9955301, 5340380.00232863, 
15416024.9852969, 6214435.00169253, 13158849.9954362, 4888944.99949723, 
11890989.9660771, 17490705.0041976, 43616305.0029146, 16194030.0048772, 
39294055.0192258, 9739469.99788821, 33127644.9810962, 8846205.00720534, 
31610054.9862116, 15752200.0066319, 28277119.9520889, 14609205.0208349, 
29813919.9877318, 16290079.989372, 29765894.9821652, 14301845.0000991, 
26644270.021128, 12601759.9838344, 29179989.9755504, 11660470.0166158, 
25174704.9912032, 11362715.0033318, 26125600.0012895, 12976355.0023293, 
25731794.9986043, 7914519.99943182, 20679564.9749855, 7712815.00959957, 
21006135.0008299, 8586870.00659657, 21169420.0250577, 8173854.99860781, 
22475700.0084427, 6464164.99879217, 16875985.0028327, 5599715.00540602, 
17394654.9981283, 6944414.99838257, 18825799.9976847, 6079964.99569812, 
19046715.0065101, 3073600.00017577, 4888944.99626213, 3275304.99250132, 
4956179.99702469, 3745949.98976827, 4764080.00390685, 3006365.00494903, 
3803579.99692935, 1191020.00048178, 2689400.00495696, 1450354.99777932, 
2775844.99341077, 1911394.99555299, 3976469.9911207, 3015969.99056673, 
7712814.99718207, 3304119.99826646, 7635975.01273558, 2852684.99807101, 
7136515.0044032, 3409775.0012269, 7530320.00644279, 2199545.004592, 
5321169.99974903, 1863369.99785405, 4255015.00434235, 1834554.99600142, 
5465245.01179811, 2305199.9965905, 5503664.99964741, 4706449.9996286, 
11746915.0024934, 5148280.00015891, 11660469.9780313, 3986074.99918675, 
10584710.0152313, 4072519.99622452, 10767205.0104645, 6195224.99698555, 
11670075.0084862, 6156805.00202727, 12476894.9893054, 5494060.00291997, 
9825915.00431466, 4495140.00532627, 8548449.99952871, 4543165.00280106, 
10507869.9929948, 4869734.99698591, 9873940.00055671, 5417219.9992106, 
10824834.9950883, 4965784.99307615, 10680759.9970203, 3217675.00714219, 
8740550.01006019, 3150440.00155729, 8894229.99541515, 1565614.99861026, 
3227280.00197935, 6416139.99254492, 18431994.9846071, 7434270.0065428, 
22168339.9810617, 9691444.99813521, 19978400.0139446, 8903834.99174023, 
17721225.0149516, 2881499.99672091, 4485534.98343095, 1671269.99619883, 
3976470.00276005), .Dim = c(2L, 152L), .Dimnames = list(c("COPB1", 
"PSMA1"), c("0.FALSE", "1.FALSE", "2.FALSE", "3.FALSE", "4.FALSE", 
"5.FALSE", "6.FALSE", "7.FALSE", "8.FALSE", "9.FALSE", "10.FALSE", 
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"69.TRUE", "70.TRUE", "73.TRUE", "74.TRUE", "75.TRUE", "76.TRUE", 
"77.TRUE", "78.TRUE"))), model_matrix = structure(c(1, 1, 1, 
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