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=======================
Histogram tests
=======================
Experimental PDF of 100x100 normal distributed random matrix:
bin | count | PDF |
------+-------+---------+-------------------------------------------
-3.0 | 24 | 0.00240 |
-2.7 | 32 | 0.00320 | *
-2.4 | 68 | 0.00680 | **
-2.1 | 105 | 0.01050 | ***
-1.8 | 244 | 0.02440 | ********
-1.5 | 374 | 0.03740 | ************
-1.2 | 604 | 0.06040 | *******************
-0.9 | 786 | 0.07860 | *************************
-0.6 | 1012 | 0.10120 | *********************************
-0.3 | 1195 | 0.11950 | ***************************************
0.0 | 1214 | 0.12140 | ****************************************
0.3 | 1111 | 0.11110 | ************************************
0.6 | 988 | 0.09880 | ********************************
0.9 | 781 | 0.07810 | *************************
1.2 | 592 | 0.05920 | *******************
1.5 | 384 | 0.03840 | ************
1.8 | 233 | 0.02330 | *******
2.1 | 134 | 0.01340 | ****
2.4 | 74 | 0.00740 | **
2.7 | 26 | 0.00260 |
3.0 | 19 | 0.00190 |
------+-------+---------+-------------------------------------------
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 | 117 | 0.00234 |
-2.7 | 157 | 0.00314 | *
-2.4 | 346 | 0.00692 | **
-2.1 | 672 | 0.01344 | ****
-1.8 | 1207 | 0.02414 | *******
-1.5 | 1921 | 0.03842 | ************
-1.2 | 2904 | 0.05808 | *******************
-0.9 | 3940 | 0.07880 | *************************
-0.6 | 5068 | 0.10136 | *********************************
-0.3 | 5752 | 0.11504 | *************************************
0.0 | 6086 | 0.12172 | ****************************************
0.3 | 5631 | 0.11262 | *************************************
0.6 | 4911 | 0.09822 | ********************************
0.9 | 4038 | 0.08076 | **************************
1.2 | 2871 | 0.05742 | ******************
1.5 | 1871 | 0.03742 | ************
1.8 | 1227 | 0.02454 | ********
2.1 | 670 | 0.01340 | ****
2.4 | 338 | 0.00676 | **
2.7 | 152 | 0.00304 |
3.0 | 121 | 0.00242 |
------+-------+---------+-------------------------------------------
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) = 0.0023
CDF(-2.55) = 0.0055
CDF(-2.25) = 0.0124
CDF(-1.95) = 0.0258
CDF(-1.65) = 0.0500
CDF(-1.35) = 0.0884
CDF(-1.05) = 0.1465
CDF(-0.75) = 0.2253
CDF(-0.45) = 0.3266
CDF(-0.15) = 0.4417
CDF( 0.15) = 0.5634
CDF( 0.45) = 0.6760
CDF( 0.75) = 0.7742
CDF( 1.05) = 0.8550
CDF( 1.35) = 0.9124
CDF( 1.65) = 0.9498
CDF( 1.95) = 0.9744
CDF( 2.25) = 0.9878
CDF( 2.55) = 0.9945
CDF( 2.85) = 0.9976
CDF( 3.15) = 1.0000
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