Question

# Random variables X_{1},X_{2},...,X_{n} are independent and identically distributed. 0 is a parameter of their distribution. State the definition for a pivotal function of X, the vector of random variables, and 0.

Random variables
Random variables $$X_{1},X_{2},...,X_{n}$$ are independent and identically distributed. 0 is a parameter of their distribution.
State the definition for a pivotal function of X, the vector of random variables, and 0.

where $$X=(X_{1},X_{2},...,X_{n})$$