(See attached file for full problem description)

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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.

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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.

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