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Second partial derivative of γ^r with respect to π

Values for calculation

n
I
π
τ
J
\text{Region}

Calculation

Second partial derivative of γ^r with respect to π

\text{if }\ \text{Region}= 2
γ^r_{ππ}=\sum_{i=1}^{43}{n[i]\cdot I[i]\cdot\left(I[i]-1\right)\cdot π^{I[i]-2}\cdot\left(τ-0.5\right)^{J[i]}}
\text{else if }\ \text{Region}= 5
γ^r_{ππ}=\sum_{i=1}^{6}{n[i]\cdot I[i]\cdot\left(I[i]-1\right)\cdot π^{I[i]-2}\cdot τ^{J[i]}}
\text{else}
γ^r_{ππ}=0