# Statistical Methods-Order Statistics (ISS 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

» Statistical Methods » Order Statistics » Maximum

Appeared in Year: 2014

Essay Question▾

### Describe in Detail

Let X 1, X 2, …, X n be n independently identically distributed random variables following an exponential distribution with mean parameter θ. Obtain the distributions of (i) Maximum (X 1, X 2, …, X n); (ii) Minimum (X 1, X 2, …, X n) and (iii) Median for n = 2m + 1, (m > 0)

### Explanation

Let X 1, X 2, …, X n, be n independently identically distributed random variables following an exponential distribution with mean parameter θ. The probability density and distribution function is

Let X (1) , X (2) , …, X (n) denote the order statistic of… (129 more words) …

f Page