Question

Prove that Γ( + 1) = Γ ​

Answer 1

answer:

Many probability distributions are defined by using the gamma function — such as Gamma distribution, Beta distribution, Dirichlet distribution, Chi-squared distribution, and Student’s t-distribution, etc.

For data scientists, machine learning engineers, researchers, the Gamma function is probably one of the most widely used functions because it is employed in many distributions. These distributions are then used for Bayesian inference, stochastic processes (such as queueing models), generative statistical models (such as Latent Dirichlet Allocation), and variational inference. Therefore, if you understand the Gamma function well, you will have a better understanding of a lot of applications in which it appears!