Show that the Dirichlet distribution is a conjugate prior for a multinomial likelihood and derive the update equations

Statistics Nov 18, 2020

Show that the Dirichlet distribution is a conjugate prior for a multinomial likelihood and derive the update equations. Obtain some data, e.g. the area of different countries, their population, physical constants, etc., and plot the frequency of the most significant figure. Compare this with Benford’s law.