moment generating function for a continuous random variable
Moment-generating function
lim n → ∞ ∑ i = 0 n t i m i i ! ( \ displaystyle \ lim _ ( n \ rightarrow \ infty ) \ sum _ ( i = 0 ) ^ ( n ) ( \ frac ( t ^ ( i ) m_ ( i ) ) ( i ! ) ) )
lim n → ∞ ∑ i = 0 n t i m i i ! ( \ displaystyle \ lim _ ( n \ rightarrow \ infty ) \ sum _ ( i = 0 ) ^ ( n ) ( \ frac ( t ^ ( i ) m_ ( i ) ) ( i ! ) ) )