M < N

Example

1.1

1.2

1.3

1.4

1.5

M

1/12

N

1/6

Q d

30

20

μ

0.1

0.2

0.05

0.1

0.2

T d

0.28810

0.28182

0.19573

0.19286

0.19091

T *

0.23986

0.24440

0.24312

0.23993

0.23191

Q *

24.93522

25.88441

24.8573

24.94312

24.51676

T C ( T * )

88.36124

88.71856

84.79927

85.76229

86.95530

Case

3.1

T * < T d

μ < N < T *

3.1

T * < T d

N < μ < T *

3.2.1

T * > T d

μ < M < N < T *

3.2.1

T * > T d

M < μ < N < T *

3.2.1

T * > T d

M < μ < N < T *

Corollary

1(a)

1(b)

2(a)(i)

2(a)(ii)

2(a)(iii)