Mathematical Problems in Engineering

Review Article

Power Law and Entropy Analysis of Catastrophic Phenomena

Table 1

PL fit to the distributions of casualties in terrorist attacks.
Criterion Category SPL DPL1 DPL2
( , ) ( , )( , )
Weapon ( ) 0.0391 0.5849   
 0.0082 0.7514 0.0002 1.7198
 0.0017 0.8660 0.0000 1.9624
 0.0236 0.6877 0.0021 1.4890
 0.0057 0.6909 0.0003 1.3579
0.0249 0.7801   
Region ( ) 0.0438 1.0147   
 0.0214 0.6412 0.0009 1.6905
0.0174 1.1905   
0.0065 0.9073   
0.0012 1.2141   
 0.0091 0.8051 0.0006 1.7088
0.0009 1.1415   
 0.0193 0.7814 0.0008 2.0675
 0.0036 0.8742 0.0001 2.0552
 0.0128 0.8561 0.0012 1.6578
 0.0091 0.6454 0.0004 1.3132
0.0023 0.9956   
0.0001 1.5523   
Target ( )  0.0438 0.5144 0.0092 1.2488
 0.0057 0.8884 0.0003 1.7180
 0.0002 1.3589 0.0012 0.8458
0.0452 0.7923   
0.0015 1.1259   
 0.0006 1.1152 0.0001 1.5162
0.0014 1.6106   
 0.0576 0.4694 0.0094 0.9070
 0.0353 0.5669 0.0009 1.6291
 0.0090 0.9645 0.0031 1.2573
 0.0047 0.8991 0.0001 1.8354
 0.0036 0.7778 0.0000 1.8667
 0.0158 0.7353 0.0018 1.6106
0.0462 0.9774   
 0.0168 0.8610 0.0026 1.6824
0.0234 0.7635   
 0.0340 0.5892 0.0014 1.5178
 0.0225 0.7389 0.0074 1.0708
 0.0108 0.7918 0.0025 1.1650
Type ( )  0.0049 0.7346 0.0000 1.7982
 0.0014 1.5201 0.0001 2.6555
 0.0059 0.8116 0.0001 2.0621
 0.0261 0.6339 0.0016 1.4880
0.0305 0.7186   
0.0116 0.7316   
 0.0072 0.9689 0.0014 1.6214
 0.0471 0.7006 0.0034 2.0186