Question

Calculate range of gamma distribution using alpha and beta

Answer 1

Answer:

The gamma distribution is the maximum entropy probability distribution (both with respect to a uniform base measure and with respect to a 1/x base measure) for a random variable X for which E[X] = kθ = α/β is fixed and greater than zero, and E[ln(X)] = ψ(k) + ln(θ) = ψ(α) − ln(β) is fixed (ψ is the digamma function).

Answer 2

Answer:

☑ The Gamma distribution has the following probability density function: where G(a) is the Gamma function, and the parameters a and b are both positive, i.e. a > 0 and b > 0. a (alpha) is known as the shape parameter, while b (beta) is referred to as the scale parameter