Data Deep Dive

Power Series Distribution Power series distributions are the discrete type of distributions and we can say it they are family of some other distr…

Introduction  Suppose that we wish to be more objective in our analysis of the data. Specifically, suppose that we wish to test for differences …

Let \(X_{1},X_{2},X_{3},...............X_{n}\) be an identically independent sample drawn from the exponential family. `f(x …

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…

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-…

Example 4.3: Let \( X_1, X_2, \dots, X_n \) be a random sample from the Poisson distribution \( P(\theta) \) with parameter \( \thet…

Information Inequality In this chapter, the lower bounds $B(\theta)$ for the variance, which is the smallest variance that can be attained…