H D I r = ( L i f e E x p I n d ) 1 / 3 ∗ ( E d I n d ) 1 / 3 ∗ ( G D P I n d ) 1 / 3 {\displaystyle HDI_{r}=(LifeExpInd)^{1/3}*(EdInd)^{1/3}*(GDPInd)^{1/3}}
where
L i f e E x p I n d = L I F E E X P r − L I F E X P M I N L I F E X P M A X − L I F E X P M I N {\displaystyle LifeExpInd={\frac {LIFEEXP_{r}-LIFEXPMIN}{LIFEXPMAX-LIFEXPMIN}}}
E d I n d = ( E D Y R S S L E I N D ) 1 / 2 ∗ ( E D Y R S A G 25 I N D ) 1 / 2 {\displaystyle EdInd=(EDYRSSLEIND)^{1/2}*(EDYRSAG25IND)^{1/2}}
G D P I n d = L o g ( G D P P C P r ∗ 1000 ) − L o g ( 100 ) L o g ( 40000 ) − L o g ( 100 ) {\displaystyle GDPInd={\frac {Log(GDPPCP_{r}*1000)-Log(100)}{Log(40000)-Log(100)}}}
E D Y R S S L E I N D = E D Y R S S L E / E D Y R S S L E M A X {\displaystyle EDYRSSLEIND=EDYRSSLE/EDYRSSLEMAX} E D Y R S A G 25 I N D = E D Y R S A G 25 / E D Y R S A G 25 M A X {\displaystyle EDYRSAG25IND=EDYRSAG25/EDYRSAG25MAX}
