Mixture models are important in theoretical and applied statistics. Mathematical statistics courses for undergraduate senior or first-year graduate students should expose students to some properties ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, moment generating functions, law of large numbers, ...

Let x and y follow a normal bivariate probability function with means $\bar X, \bar Y$, standard deviations σ1, σ2, respectively, r the coefficient of correlation, and $\rho_1 = \bar X/\sigma_1, ...