A Novel Goodness-of-Fit Test for Cauchy Distribution

Table 2

Some critical values for the tests at significance level  = 0.05.

Statistics	= 10	= 15	= 20	= 25	= 30	= 40	= 50	= 70	= 100	= 150
	0.2707916	0.2313551	0.1960241	0.1819903	0.1632272	0.1417260	0.1277648	0.1081283	0.0909965	0.0744883
	0.9259634	1.0085827	0.9843820	1.0681360	1.0220367	1.0355693	1.0402440	1.0413023	1.0640848	1.0513005
	0.1299512	0.1475182	0.1361309	0.1487771	0.1400676	0.1410253	0.1411978	0.1412048	0.1434735	0.1423438
	2.0858449	1.6733386	1.4658110	1.3476990	1.2434516	1.0781197	0.9482617	0.7544032	0.5791309	0.4209202
	1.2715673	1.2051558	1.1583816	1.1308074	1.1034102	1.0691428	1.0435680	1.0053005	0.9670629	0.9260567
	1.3283306	1.1376217	0.9761207	0.8593012	0.7633675	0.6279517	0.5339176	0.4084265	0.3027973	0.2142463
	0.8401114	0.8018633	0.7406943	0.7003743	0.6543584	0.5887013	0.5369809	0.4573184	0.3793760	0.3014972
	1.7554374	1.4576361	1.2644164	1.1534796	1.0438366	0.8714814	0.7426738	0.5650621	0.4118729	0.2836562
	1.3630353	1.2416509	1.1100623	1.0177400	0.9241920	0.7933668	0.6960775	0.5556202	0.4285093	0.3131210
	1.1123457	1.0019222	0.8654391	0.8238827	0.7394887	0.6641290	0.6143114	0.5612189	0.5223320	0.4884361
	0.1514254	0.1493508	0.1509626	0.1673123	0.1596896	0.1578639	0.1605170	0.1599828	0.1624987	0.1617073
	3.7611639	3.6793967	3.6116025	3.5768386	3.5385178	3.4934645	3.4628241	3.4225658	3.3900073	3.3613262
	12.6261510	14.8402831	15.8804268	17.4345019	17.8761070	18.9638061	19.9880347	20.9655719	22.5386082	23.7266435
	1.9264208	2.2884351	2.5129328	2.8047662	2.8984791	3.0837994	3.2451614	3.4303365	3.6530716	3.8507040
	0.6121705	0.6141699	0.6182448	0.6194628	0.6235700	0.6225732	0.6256431	0.6229911	0.6309246	0.6280443
	(0.4349739, 0.9349241)	(0.5352918, 0.9313266)	(0.5137147, 0.9337732)	(0.4858210, 0.9476388)	(0.5190890, 0.9200224)	(0.5438602, 0.9098861)	(0.5567621, 0.8964914)	(0.5762001, 0.8767661)	(0.5964245, 0.8553014)	(0.6195406, 0.8344835)
	(0.0322042, 0.6905924)	(0.0831989, 0.6543933)	(0.1101955, 0.6189048)	(0.1138894, 0.5910641)	(0.1458912, 0.5791273)	(0.1603971, 0.5397994)	(0.1740842, 0.5147346)	(0.1946389, 0.4836451)	(0.2159806, 0.4607291)	(0.2341656, 0.4321215)
	(0.0000071, 0.5241523)	(0.0000146, 0.4289383)	(0.0130453, 0.4193312)	(0.0260534, 0.4029930)	(0.0287134, 0.3626796)	(0.0458372, 0.3405257)	(0.0564848, 0.3164474)	(0.0666044, 0.2858383)	(0.0805256, 0.2669331)	(0.0935328, 0.2434633)
	(0.0000022, 0.4826172)	(0.0000068, 0.3667168)	(0.0000036, 0.2996265)	(0.0000049, 0.2606636)	(0.0000049, 0.2362534)	(0.0066456, 0.2321035)	(0.0115683, 0.2118949)	(0.0177521, 0.1792437)	(0.0258474, 0.1622622)	(0.0333565, 0.1435291)
	(0.0000022, 0.4786860)	(0.0000064, 0.3615346)	(0.0000032, 0.2931898)	(0.0000042, 0.2524953)	(0.0000038, 0.2254776)	(0.0000017, 0.2009124)	(0.0091070, 0.2045620)	(0.0126942, 0.1669218)	(0.0199464, 0.1524896)	(0.0276135, 0.1335041)
	(0.0000019, 0.4624685)	(0.0000051, 0.3415483)	(0.0000023, 0.2693888)	(0.0000026, 0.2246124)	(0.0000089, 0.1932879)	(0.0000004, 0.1546240)	(0.0000024, 0.1308791)	(0.0000029, 0.1041793)	(0.0031911, 0.0997057)	(0.0053126, 0.0793512)