n

MLE

MCMC (Prior 0)

MCMC (Prior 1)

5

3.2188

1.536

3.2428

1.5141

3.1885

1.6195

(0.3966)

(0.1007)

(0.4165)

(0.1042)

(0.3878)

(0.0951)

7

3.3344

1.4766

3.1343

1.4757

3.2048

1.4382

(0.3356)

(0.0945)

(0.3522)

(0.0946)

(0.2991)

(0.0915)

9

3.1654

1.4312

3.1273

1.4812

3.1491

1.5037

(0.2832)

(0.0876)

(0.2914)

(0.0879)

(0.2507)

(0.0765)

12

3.0307

1.4325

3.2107

1.4301

3.2125

1.4789

(0.2599)

(0.0778)

(0.2509)

(0.0781)

(0.2184)

(0.0723)

15

3.3056

1.4989

3.2191

1.4418

3.2116

1.4698

(0.1910)

(0.0615)

(0.1962)

(0.0629)

(0.1693)

(0.0588)

18

3.2708

1.5056

3.2027

1.4691

3.1473

1.4733

(0.1734)

(0.0574)

(0.1885)

(0.0583)

(0.1233)

(0.0462)

20

3.2311

1.5006

3.1915

1.4984

3.2360

1.4139

(0.1161)

(0.0463)

(0.1351)

(0.0495)

(0.0952)

(0.0341)

23

3.1083

1.5203

3.2963

1.5485

3.2186

1.5506

(0.0848)

(0.0182)

(0.0946)

(0.0177)

(0.0508)

(0.0101)

25

3.2571

1.5921

3.2216

1.574

3.2757

1.4958

(0.0713)

(0.0097)

(0.0721)

(0.0098)

(0.0363)

(0.0074)