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Table 9 Comparison of ASN values between MDSSP and SSP when \(\hat{\theta } = 1.5,\hat{\lambda } = 1.5\)

From: Application of the multiple dependent state sampling strategy to late adolescent suicide rates

\(\beta\)

\({{t_{q} } \mathord{\left/ {\vphantom {{t_{q} } {t_{{q_{0} }} }}} \right. \kern-0pt} {t_{{q_{0} }} }}\)

\(k = 0.5\)

\(k = 1.0k = 1.0\)

MDSSP

SSP

MDSSP

SSP

\(n\)

\(c_{1}\)

\(c_{2}\)

\(m\)

\(P_{a} (p_{1} )\)

\(n\)

\(c\)

\(P_{a} (p_{1} )\)

n

\(c_{1}\)

\(c_{2}\)

\(m\)

\(P_{a} (p_{1} )\)

\(n\)

\(c\)

\(P_{a} (p_{1} )\)

0.25

2

21

2

4

2

0.9792

33

4

0.9720

7

2

3

2

0.9511

14

5

0.9685

4

7

0

6

3

0.9771

14

1

0.9849

3

0

2

1

0.9744

5

1

0.9751

6

7

0

6

3

0.9949

7

0

0.9582

3

0

2

1

0.995

2

0

0.9526

8

7

0

6

3

0.9983

7

0

0.9762

3

0

2

1

0.9983

2

0

0.9730

10

7

0

6

3

0.9993

7

0

0.9847

3

0

2

1

0.9993

2

0

0.9826

0.1

2

30

2

5

1

0.9532

48

5

0.9607

12

3

5

1

0.9601

19

6

0.9522

4

12

0

10

2

0.9574

20

1

0.9701

7

1

3

1

0.9973

7

1

0.9512

6

12

0

10

2

0.9903

20

1

0.9935

4

0

1

1

0.9884

7

1

0.9889

8

12

0

10

2

0.9967

12

0

0.9596

4

0

1

1

0.9961

7

1

0.9963

10

12

0

10

2

0.9986

12

0

0.9739

4

0

1

1

0.9983

4

0

0.9655

0.05

2

40

3

13

2

0.9541

61

6

0.9593

16

4

6

1

0.9588

23

7

0.9508

4

17

0

3

1

0.9567

24

1

0.9581

8

1

3

1

0.9956

11

2

0.9825

6

15

0

10

2

0.9853

24

1

0.9906

5

0

2

1

0.9868

8

1

0.9854

8

15

0

10

2

0.9950

24

1

0.9969

5

0

2

1

0.9955

8

1

0.9951

10

15

0

10

2

0.9979

15

0

0.9675

5

0

2

1

0.9981

5

0

0.9570

0.1

2

60

4

8

1

0.9535

89

8

0.9552

25

6

11

1

0.9711

35

10

0.9525

4

33

1

2

1

0.9851

42

2

0.9805

11

1

5

1

0.9876

14

2

0.9657

6

23

0

1

1

0.9753

33

1

0.9827

7

0

2

1

0.9751

11

1

0.9726

8

23

0

1

1

0.9915

33

1

0.9942

7

0

2

1

0.9915

11

1

0.9906

10

23

0

1

1

0.9964

23

0

0.9506

7

0

2

1

0.9964

11

1

0.9960