Model

Estimates

BIC

−ll

AIC

$\widehat{\alpha }$

$\widehat{\tau }$

$\widehat{\lambda }$

$\widehat{\delta }$

$\widehat{\gamma }$

KROLL

0.8201

0.6894

0.3432

6.4677

-

1177.12

578.9682

1165.936

(0.5051)

(0.0881)

(0.3096)

(0.3043)

KUMLL

5.9172

12.6227

-

0.5267

14.4993

1192.862

586.8401

1181.68

(0.8224)

(1.1446)

-

(0.0443)

(3.5236)

MOELL

13.8653

1.8536

-

5.6094

-

1181.2

587.5998

1181.2

(2.4619)

(0.1901)

-

(2.8307)

-

ZBLL

16.8813

1.6039

1.5947

-

-

1206.298

595.9553

1197.911

(4.3020)

(0.1383)

(0.2628)

LL

-

0.4335

-

-

-

1514.859

755.0317

1512.063

-

(0.0307)