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Table 5 Optimal parameters of the proposed MDSSP for NLRD with \(\hat{\theta } = 1.056,\hat{\lambda } = 0.6867\)

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

\(\beta\)

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

\(k = 0.5\)

\(k = 0.7\)

\(k = 1.0\)

\(n\)

\(c_{1}\)

\(c_{2}\)

\(m\)

\(p_{a} \left( {p_{1} } \right)\)

\(n\)

\(c_{1}\)

\(c_{2}\)

\(m\)

\(p_{a} \left( {p_{1} } \right)\)

\(n\)

\(c_{1}\)

\(c_{2}\)

\(m\)

\(p_{a} \left( {p_{1} } \right)\)

0.25

2

19

2

3

3

0.9601

11

2

10

5

0.9545

8

2

5

1

0.9598

4

7

0

6

2

0.9807

4

0

3

2

0.9765

3

0

2

1

0.9731

6

7

0

6

2

0.9958

4

0

3

2

0.9948

3

0

2

1

0.9940

8

7

0

6

2

0.9986

4

0

3

2

0.9983

3

0

2

1

0.9980

10

7

0

6

2

0.9994

4

0

3

2

0.9993

3

0

2

1

0.9992

0.1

2

32

3

13

3

0.9670

19

3

13

2

0.9636

14

4

13

2

0.9707

4

11

0

10

2

0.9562

6

0

2

2

0.9511

7

1

3

1

0.9963

6

11

0

10

2

0.9900

6

0

2

2

0.9887

4

0

1

1

0.9860

8

11

0

10

2

0.9967

6

0

2

2

0.9962

4

0

1

1

0.9953

10

11

0

10

2

0.9986

6

0

2

2

0.9984

4

0

1

1

0.9980

0.05

2

37

3

9

2

0.9508

26

4

6

1

0.9655

18

5

10

2

0.9695

4

16

0

3

1

0.9533

13

1

2

1

0.9917

8

1

3

1

0.9939

6

14

0

10

2

0.9843

8

0

1

1

0.9857

5

0

2

1

0.9840

8

14

0

10

2

0.9947

8

0

1

1

0.9952

5

0

2

1

0.9946

10

14

0

10

2

0.9978

8

0

1

1

0.9980

5

0

2

1

0.9977

0.01

2

63

5

8

1

0.9673

37

5

10

1

0.9583

25

6

11

1

0.9543

4

31

1

2

1

0.9833

18

1

4

1

0.9907

11

1

5

1

0.9831

6

21

0

10

2

0.9671

12

0

1

1

0.9694

7

0

2

1

0.9701

8

21

0

10

2

0.9886

12

0

1

1

0.9895

7

0

2

1

0.9897

10

21

0

10

2

0.9951

12

0

1

1

0.9955

7

0

2

1

0.9956