(See attached file for full problem description)

---

7.1 Consider a random sample of size n from a distribution with CDF (cumulative distribution function) F(x)=1-1/x if , and zero otherwise.

a) Derive the CDF of the smallest order statistic,

b) Find the limiting distribution of

c) Find the limiting distribution of

7.2 Consider the CDF of exercise 7.1. Find the limiting extreme-value distribution of and compare this result to the results of exercise 7.

PLEASE: can you explain me the limiting distribution and the limiting extreme-value distribution.

, and zero otherwise.

and compare this result to the results of exercise 7.

PLEASE: can you explain me the limiting distribution and the limiting

extreme-value distribution.

---

7.1 Consider a random sample of size n from a distribution with CDF (cumulative distribution function) F(x)=1-1/x if , and zero otherwise.

a) Derive the CDF of the smallest order statistic,

b) Find the limiting distribution of

c) Find the limiting distribution of

7.2 Consider the CDF of exercise 7.1. Find the limiting extreme-value distribution of and compare this result to the results of exercise 7.

PLEASE: can you explain me the limiting distribution and the limiting extreme-value distribution.

, and zero otherwise.

and compare this result to the results of exercise 7.

PLEASE: can you explain me the limiting distribution and the limiting

extreme-value distribution.

### Recently Asked Questions

- What would be some economic factors that lead to the development of monopolies

- 1) A baseball is thrown straight upwards, it's height is: h(t) = 42t+16t^t. What is the average speed over the intervals 0 ≤ t ≤ 1 , 0.5 ≤ t

- Iron is made from a reaction of iron oxide with carbon monoxide in the following reaction: Fe2O3( s ) + 3 CO( g ) → 2 Fe( s ) + 3 CO2( g ) Using Hess'