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=======================
Histogram tests
=======================
Experimental PDF of 100x100 normal distributed random matrix:
bin | count | PDF |
------+-------+---------+-------------------------------------------
-3.0 | 26 | 0.00260 |
-2.7 | 31 | 0.00310 | *
-2.4 | 74 | 0.00740 | **
-2.1 | 138 | 0.01380 | ****
-1.8 | 234 | 0.02340 | *******
-1.5 | 389 | 0.03890 | *************
-1.2 | 600 | 0.06000 | ********************
-0.9 | 809 | 0.08090 | ***************************
-0.6 | 974 | 0.09740 | ********************************
-0.3 | 1146 | 0.11460 | **************************************
0.0 | 1184 | 0.11840 | ****************************************
0.3 | 1150 | 0.11500 | **************************************
0.6 | 950 | 0.09500 | ********************************
0.9 | 789 | 0.07890 | **************************
1.2 | 616 | 0.06160 | ********************
1.5 | 406 | 0.04060 | *************
1.8 | 235 | 0.02350 | *******
2.1 | 127 | 0.01270 | ****
2.4 | 74 | 0.00740 | **
2.7 | 28 | 0.00280 |
3.0 | 20 | 0.00200 |
------+-------+---------+-------------------------------------------
Histogram trials counter : 10000
Sum of the histogram bins : 10000
Sum of PDF values : 1.00000
--------------------------------------------------------------------
Experimental PDF of 50000 normal distributed random variables:
bin | count | PDF |
------+-------+---------+-------------------------------------------
-3.0 | 97 | 0.00194 |
-2.7 | 179 | 0.00358 | *
-2.4 | 356 | 0.00712 | **
-2.1 | 700 | 0.01400 | ****
-1.8 | 1196 | 0.02392 | *******
-1.5 | 2004 | 0.04008 | *************
-1.2 | 2881 | 0.05762 | *******************
-0.9 | 4026 | 0.08052 | **************************
-0.6 | 5045 | 0.10090 | *********************************
-0.3 | 5749 | 0.11498 | **************************************
0.0 | 6028 | 0.12056 | ****************************************
0.3 | 5619 | 0.11238 | *************************************
0.6 | 4907 | 0.09814 | ********************************
0.9 | 3952 | 0.07904 | **************************
1.2 | 2967 | 0.05934 | *******************
1.5 | 1889 | 0.03778 | ************
1.8 | 1133 | 0.02266 | *******
2.1 | 665 | 0.01330 | ****
2.4 | 361 | 0.00722 | **
2.7 | 151 | 0.00302 | *
3.0 | 95 | 0.00190 |
------+-------+---------+-------------------------------------------
Histogram trials counter : 50000
Sum of the histogram bins : 50000
Sum of PDF values : 1.00000
--------------------------------------------------------------------
Experimental CDF (CDF(x) = Pr(a < x), a - random variable)
of the same vector:
CDF(-2.85) = 0.0019
CDF(-2.55) = 0.0055
CDF(-2.25) = 0.0126
CDF(-1.95) = 0.0266
CDF(-1.65) = 0.0506
CDF(-1.35) = 0.0906
CDF(-1.05) = 0.1483
CDF(-0.75) = 0.2288
CDF(-0.45) = 0.3297
CDF(-0.15) = 0.4447
CDF( 0.15) = 0.5652
CDF( 0.45) = 0.6776
CDF( 0.75) = 0.7757
CDF( 1.05) = 0.8548
CDF( 1.35) = 0.9141
CDF( 1.65) = 0.9519
CDF( 1.95) = 0.9746
CDF( 2.25) = 0.9879
CDF( 2.55) = 0.9951
CDF( 2.85) = 0.9981
CDF( 3.15) = 1.0000
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