(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

- "Slave Community" textbook and list some of the challenges that faced a runaway slave. Then list how the slaves tried to overcome those challenges.

- According to a study in a previous year, 57.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 2,700 randomly

- The following information is available for GFI’s maintenance cost over the last seven months. Use the high low method to estimate the fixed and variable