# Probability-Central Limit Theorems (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1 - 1 of 1

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **165** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 550.00 or

## Question number: 1

» Probability » Central Limit Theorems

Appeared in Year: 2013

Essay Question▾

### Describe in Detail

State and prove Lindeberg-Levy Central limit theorem.

### Explanation

Lindeberg-Levy Central limit theorem.

Let Y _{1}, Y _{2}, …, Y _{n} be independent and identically distributed random variables with common mean

E (Y _{i}) =µ and finite positive variance Var (Y _{i}) = σ ^{2} for i = 1, 2, …, n

then ,