Prove that a Gamma distribution with shape parameter greater than 1 has increasing failure (hazard) rate. Solution The corresponding density function is;fGE(x; ®; ¸) =½0 if x < 0;®¸(1 ¡ e¡¸x)®¡1e¡¸xif x > 0: Here ® and ¸ are the shape and scale parameters respectively. When ® = 1, it coincideswith the exponential distribution. ....