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Suppose there isare two correlated random variables $X_1$ and $X_2$ both are gamma distributed but having different shape and scale parameters with correlation coefficient $\rho$. What will be the distribution of Y? where $Y=(2X_1 X_2)/(X_1+X_2)$.

Suppose there is two correlated random variables $X_1$ and $X_2$ both are gamma distributed but having different shape and scale parameters with correlation coefficient $\rho$. What will be the distribution of Y? where $Y=(2X_1 X_2)/(X_1+X_2)$.

Suppose there are two correlated random variables $X_1$ and $X_2$ both are gamma distributed but having different shape and scale parameters with correlation coefficient $\rho$. What will be the distribution of Y? where $Y=(2X_1 X_2)/(X_1+X_2)$.

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What will be the distribution of harmonic mean of two correlated gamma random variables?

Suppose there is two correlated random variables $X_1$ and $X_2$ both are gamma distributed but having different shape and scale parameters with correlation coefficient $\rho$. What will be the distribution of Y? where $Y=(2X_1 X_2)/(X_1+X_2)$.