A New Probability Heavy-Tail Model for Stochastic Modeling under Engineering Data

Table 3

E (X), Var (X), Skew (Y), and Kur (Y) of the RW model.

a3	E (Y)	Var (Y)	Skew (Y)	Kur (Y)
4.01	1.224588	0.2685107	5.565077	5436.596
4.1	1.217387	0.2491110	5.236318	529.5917
4.25	1.206332	0.2212162	4.790364	204.8309
4.5	1.190151	0.1842563	4.238837	98.80145
5	1.16423	0.1337614	3.535072	48.09151
6	1.128787	0.0799578	2.805566	24.67812
7	1.105767	0.0532719	2.425097	17.53402
8	1.089652	0.0380744	2.18927	14.16589
10	1.068629	0.0222624	1.910339	10.97857
12	1.055547	0.0146085	1.749809	9.461719
15	1.043167	0.0088581	1.605245	8.282494
20	1.031453	0.00473276	1.473884	7.333494
25	1.024732	0.00294027	1.400486	6.852401
30	1.020374	0.00200272	1.353566	6.562309
35	1.017321	0.00145151	1.320968	6.368528
40	1.015063	0.00110017	1.296998	6.229997
45	1.013326	0.00086254	1.278628	6.126068
50	1.011947	0.00069436	1.264099	6.045237
60	1.009899	0.00047779	1.242579	5.927632
75	1.007874	0.00030301	1.221374	5.814377
80	1.007372	0.00026572	1.216122	5.786696
90	1.006537	0.00020916	1.207410	5.741088
100	1.005872	0.00016892	1.200478	5.705176
101	1.005813	0.00016554	1.199862	5.701995
102	1.005755	0.00016227	1.199258	5.69888