grandes-ecoles 2017 QI.A.2

grandes-ecoles · France · centrale-maths2__official Probability Generating Functions PGF of sum of independent variables

Let $X$ be a random variable taking values in $\mathbb{N}$ admitting a decomposition $X \sim Y + Z$, where $Y$ and $Z$ are independent random variables taking values in $\mathbb{N}$. What relation links $G_{X}, G_{Y}$ and $G_{Z}$?

Let $X$ be a random variable taking values in $\mathbb{N}$ admitting a decomposition $X \sim Y + Z$, where $Y$ and $Z$ are independent random variables taking values in $\mathbb{N}$. What relation links $G_{X}, G_{Y}$ and $G_{Z}$?

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