Elements of the Theory of Point Statistical Estimation

Abstract

Suppose that some experiment is organized so that the results of observations

$${x_1},{x_2},...,{x_n}$$

can be considered as a realization of independent identically distributed random variables X ₁ , X ₂ ,…, X _n . Denote the set of these random variables X ₁ ,…, X _n by X. Then x = (x₁,…, x_n) denotes the realization of the random vector

$$\mathbb{X} = ({X_1},...{X_n}).$$