The Beta-Half-Cauchy Distribution

Table 3

MLEs (standard errors in parentheses) and the measures 𝑊^∗ and 𝐴^∗.

Distribution	Estimates			Statistic
	𝛼	𝛽	𝛾	𝑊^∗	𝐴^∗
ExpBS	0.5845	131.3672	0.3984	0.18182	0.98014
	(0.9407)	(377.8605)	(2.2449)
ExpWeibull	0.4611	0.4744	22.4424	0.14017	0.76577
	(0.1709)	(0.5344)	(30.1960)
BS	0.7600	77.5348		0.18824	1.01205
	(0.0633)	(6.4508)
Gamma	2.0815	0.0209		0.33952	1.85891
	(0.3305)	(0.0037)
Weibull	1.3932	0.0014		0.43476	2.39383
	(0.1184)	(0.0009)