====== 다항분포 (Multinomial Distribution) ======
===== 표기 =====
 $$ X \sim MN(n;p_{1}, ... ,p_{k})$$
===== 받침 =====
===== 확률질량함수 =====
 $$p(x_{1}, \ \cdots \ , x_{k})=\frac{n!}{x_{1}! \ \cdots \ x_{k}!}p_{1}^{x_{1}} \ \cdots \ p_{k}^{x_{k}} , (x_{1}+ \ \cdots \ + x_{n} =n)$$
===== 기대값 =====
 $$E(X)=n_{i}p_{i}$$
===== 분산 =====
 $$Var(X)=n_{i}p_{i}(1-p_{i})$$
===== 적률생성함수 =====
 $$M(t)=(p_{1}e^{t_{1}}+ ... +p_{k-1}e^{t_{k-1}}+ ... +p_{k})^{n}$$
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  * [[분포]]