Table 3 MCS procedure using the T_R,M test applied to the RMSFE in the validation set from 1996 to 2005 for forecasting the Japanese female and male national and sub-national mortality for ages between 60 and 100+

Japan

1

1

Hokkaido

1

16

Aomori

7

16

Iwate

8

13

Miyagi

2, 3, 7, 8, 9, 10, 12, 14, 15

3, 13, 14, 15, 16, 17

Akita

7

14

Yamagata

13, 14, 16

5, 7, 13, 15, 16

Fukushima

3

13

Ibaraki

3, 7, 14, 15

16

Tochigi

15

8, 17

Gunma

8

2, 3, 5, 8, 13, 14

Saitama

8

14

Chiba

3, 8, 9

16

Tokyo

8

16

Kanagawa

8

14

Niigata

3, 7, 8, 14

3, 5, 8, 13, 17

Toyama

3, 5, 7, 8

13, 17

Ishikawa

5, 7, 13

3, 5, 7, 13, 17

Fukui

3

3, 7, 8, 13, 14, 16, 17

Yamanashi

7

15

Nagano

8

14

Gifu

13

3, 5, 7, 13, 14, 15, 17

Shizuoka

1, 8, 10

8, 13, 14, 15, 16

Aichi

8

15

Mie

3, 5, 7, 8, 9, 10, 11

8

Shiga

8

13

Kyoto

14

14

Osaka

8

17

Hyogo

8

15

Nara

3, 5, 7

14

Wakayama

8

17

Tottori

7

3, 5, 8, 16, 17

Shimane

13, 15

8, 15, 16, 17

Okayama

10

1, 3, 8, 13

Hiroshima

10

15

Yamaguchi

8, 15

14

Tokushima

3, 5, 7, 8, 15

5, 7, 13, 14, 15, 16

Kagawa

14

3, 5, 7, 13, 15, 17

Ehime

7

1, 3, 8, 13, 14, 15, 16, 17

Kochi

14

17

Fukuoka

1, 9, 10

13

Saga

3, 7, 8, 11, 15

7

Nagasaki

13

17

Kumamoto

10, 11, 12, 13, 14, 15, 17

14

Oita

13, 14, 17

5, 7, 13

Miyazaki

3

16

Kagoshima

1, 3, 8, 10, 11, 12, 14, 15

3, 13

Okinawa

12, 14

15, 16, 17