A Novel Goodness-of-Fit Test for Cauchy Distribution

Table 1

Some values of index for several distributions.

Distributions
Lomax (1, 0.5)	0.00700
Pareto (0.5, 1)	0.00700
Weibull (0.2, 1)	0.01752
Pareto (0.75, 1)	0.03061
Gamma (0.1, 1)	0.03353
Lomax (1, 1)	0.06050
Pareto (1, 1)	0.06050
Cauchy (2, 3)	0.06978
Cauchy (0, 1)	0.06978
Pareto (1.25, 1)	0.08848
Pareto (1.5, 1)	0.11227
Weibull (0.5, 1)	0.12677
Lomax (1, 2)	0.14819
Loglogistic (2, 3)	0.17792
t (2)	0.17792
Log normal (0, 1)	0.19817
Laplace (0, 1)	0.22247
Laplace (2, 3)	0.22247
t (3)	0.22893
Gamma (0.5, 1)	0.23355
Loglogistic (4, 3)	0.25412
Exp (1)	0.29015
Logistic (2, 3)	0.29015
Logistic (0, 1)	0.29015
t (10)	0.30443
Gumbel (0, 1)	0.30624
Gamma (2, 1)	0.31560
Normal (0, 1)	0.33544
Normal (2, 3)	0.33544
Weibull (1.5, 1)	0.34225
Weibull (2, 1)	0.35577
Kumaraswamy (2, 5)	0.38539
Beta (2, 2)	0.42212
Beta (2, 1)	0.43578
Beta (1, 2)	0.43578
Arcsine (−1, 1)	0.44510
Uniform (0, 1)	0.52320
Uniform (−10, 10)	0.52320
Kumaraswamy (1, 1)	0.52320
Kumaraswamy (0.5, 0.5)	0.68950
Beta (0.5, 0.5)	0.70883
Beta (0.1, 0.1)	0.99831