grandes-ecoles 2017 QI.A.1

grandes-ecoles · France · centrale-maths2__official Probability Generating Functions Uniqueness and characterization of distributions via PGF

Let $X$ and $X^{\prime}$ be two random variables taking values in $\mathbb{N}$. Justify that $X \sim X^{\prime}$ if and only if $G_{X} = G_{X^{\prime}}$.

Let $X$ and $X^{\prime}$ be two random variables taking values in $\mathbb{N}$. Justify that $X \sim X^{\prime}$ if and only if $G_{X} = G_{X^{\prime}}$.

Paper Questions

QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.B.1 QI.B.2 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QII.C.1 QII.C.2 QII.C.3 QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.A.5 QIII.A.6 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5