H D I γ = L i f e E x p I n d γ + L i t I n d + G D P I n d 3 {\displaystyle HDI_{\gamma }={\frac {LifeExpInd_{\gamma }+LitInd+GDPInd}{3}}}
where
L i f e E x p I n d = L I F E X P γ − 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 {LIFEXP_{\gamma }-LIFEXPMIN}{LIFEXPMAX-LIFEXPMIN}}}
L i t I n d = L I T γ / 100 {\displaystyle LitInd=LIT_{\gamma }/100}
G D P I n d = L o g ( G D P P C P γ ∗ 1000 ) − L o g ( 100 ) L o g ( 40000 ) − L o g ( 100 ) {\displaystyle GDPInd={\frac {Log(GDPPCP_{\gamma }*1000)-Log(100)}{Log(40000)-Log(100)}}}