Let {X;}E, be i.i.d. uniform random variables in [0, 0), for some 0 > 0. Denote by Mn = max=1,2,...,n X4. • Prove that Mn converges in probability to 0. Compute the cumulative distribution function of n (1 – Mn/0) and prove that n (1- Mn/0) converges in distribution to an exponential random variable with parameter 1.
Power Operation
Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus.
Exponents
The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.
Please solve last yellow marked part of below question
Note:Please don't mark this question as complex or any other mark because I asked last part only..Thanks in advance.
Step by step
Solved in 2 steps
