A Novel Goodness-of-Fit Test for Cauchy Distribution

Table 6

Test statistic and corresponding p values from simulated data.

Test statistics	Statistics	values	Critical values
	0.10705	0.57837	0.12776
	0.80648	0.47573	1.04024
	0.09810	0.59616	0.14120
	0.99278	0.05	0.94826
	1.14771	0.05	1.04357
	0.53262	0.05	0.53392
	0.57399	0.05	0.53698
	0.77456	0.05	0.74267
	0.72989	0.05	0.69608
	0.67559	0.05	0.61431
	0.16731	0.05	0.16052
	3.48292	0.05	3.46282
	19.86963	0.05	19.98803
	2.42161	0.05	3.24516
	0.87240	0.05	0.62564
	0.88455	0.05	(0.55676 0.89649)
	0.49504	0.05	(0.17408 0.51473)
	0.36006	0.05	(0.05648 0.31646)
	0.28362	0.05	(0.01157 0.21189)
	0.27440	0.05	(0.00911 0.20456)
	0.17727	0.05	(0.00000 0.13088)