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Table 1 Life table functions based on a two parameter Gompertz model compared with exact functions

___________________________________________________________________________

Life table

Aust.

Aust.

ELT 12

ELT 14

ELT 14

PA(90)

PA(90)

function

90/92

90/92

Males

Males

Females

Males

Females

Males

Females

___________________________________________________________________________

mode m

81

86.5

75.5

77.5

84.0

79.5

85.5

k

0.09312

0.10541

0.08808

0.09243

0.10746

0.08610

0.10123

G

L

G

L

G

L

G

L

G

L

G

L

G

L

median

77.1 77.4 83.0 83.3 71.3 71.6 73.5 73.8 80.6 80.2 75.2

lower q’tile 67.6 68.0 74.7 74.8 61.4 62.0 64.0 64.6 72.4 71.0 65.0 upper q’tile 84.5 84.7 89.6 89.8 79.2 79.3 81.0 81.2 87.0 86.9 83.3

81.9 73.2 88.7

36.1 36.7

41.9

41.8

30.8 31.6

32.8

33.3

39.5

38.7 34.4 35.4

40.8 40.9

26.8 27.5

32.2

32.3

22.0 22.7

23.7

24.3

29.8

29.4

25.4 26.1

31.1 31.5

18.3 19.1

22.9

23.4

14.5 15.1

15.7

16.4

20.7

20.9

17.4 18.0

22.0 22.5

11.4 12.1

14.6

15.4

8.8

9.3

9.5

10.1

12.8

13.4

11.0 11.6

14.0 14.6

6.5 7.0

8.3

8.9

4.9

5.3

5.3

5.8

7.0

7.5

6.4 6.8

8.0 8.5

3.4 3.9

4.2

4.6

2.5

3.0

2.7

3.3

3.4

3.9

3.5 3.7

4.1 4.3

e

0

e

10

e

20

e

30

e

40

e

50

e

60

e

70

e

80

e

90

74.8 74.3 81.0 80.4 69.0 68.1 71.3 71.0 78.6 77.0 72.8

65.1 65.1 71.2 71.1

59.4 60.2 61.6 62.2 68.9 68.0 63.2

55.5 55.4 45.8 46.1

79.8

70.0

59.1 58.1 53.6 54.6 60.3 60.6

49.3 48.3 44.0 45.1

50.5 50.8

61.5 61.2

51.7

51.5

49.9 50.6 52.0 52.5

40.3 41.1 42.4

42.9

0.57 0.60 0.37 0.38 0.57 0.37 0.60 0.38 0.57 0.60 0.37 0.37 0.57 0.37 0.59 0.38 0.57 0.37 0.60 0.36 0.57 0.37 0.57 0.37 e p __ 0 m p 0 _________________________________________________________________________

Notes: G = Gompertz approximation. L = exact life table value. e p 0 = p r o p o r t i o n s u r v i v i n g f r o m b i r t h t o a n a g e e q u a l t o t h e c o m p l e t e e x p e c t a t i o n life at birth. o f

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