Cramer Rao lower bound in Bernoulli Distribution
Finding the UMVUE and CR Bound Let $X_1, X_2, X_3, \dots, X_n$ be a random sample drawn from a Bernoulli distribution $B(1, \theta)$. We aim to fin…
Inequalities and Lower Bounds
Cramer Rao lower bound in uniform distribution - statsclick
Lower bound and UMVUE estimation Let $X_1, X_2, \dots, X_n$ be a random sample from $U(0, \theta)$. We examine the application of the Cramér-…
Estimation of Lower Bound in Poisson Distribution
Example 4.3: Let \( X_1, X_2, \dots, X_n \) be a random sample from the Poisson distribution \( P(\theta) \) with parameter \( \thet…
Cramer Rao Inequality - statsclick
Information Inequality In this chapter, the lower bounds $B(\theta)$ for the variance, which is the smallest variance that can be attained…