1- (1+ x)-m if x >0 otherwise (b) Now let Fx(x) = where m e N. i. For which k EN does the expectation E X* exist? Justify your answer ii. Compute the cdf of the sample minimum X(1) of a random sample of size n eN from Fx. For which k EN does E (X(1)*| exist?
1- (1+ x)-m if x >0 otherwise (b) Now let Fx(x) = where m e N. i. For which k EN does the expectation E X* exist? Justify your answer ii. Compute the cdf of the sample minimum X(1) of a random sample of size n eN from Fx. For which k EN does E (X(1)*| exist?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
part B urgently needed please
![2. (a) Let X be a positive continuous random variable with Vk EN: EX E R.
i. Show that E[X] = S (1- Fx(x))dx. Hint: Write 1 Fx(x) in terms of
an integral of the pdf, then switch the order of integration.
ii. Find an expression for E[X*] (where k E N) of the form (1-Fx(x))h(x)dx
for a function h which you should specify.
1- (1+ x)-m if x >0
otherwise
(b) Now let Fx(x) =
where m e N.
i. For which k eN does the expectation E X* exist? Justify your answer
ii. Compute the cdf of the sample minimum X(1) of a random sample of size
n eN from Fx. For which k EN does E (Xu)*| exist?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97255b6a-9cb3-4af0-a17c-9b6eff61f49f%2Fff2f7a3c-a39b-4607-9f59-701a94999a5a%2Fd5fp8lx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. (a) Let X be a positive continuous random variable with Vk EN: EX E R.
i. Show that E[X] = S (1- Fx(x))dx. Hint: Write 1 Fx(x) in terms of
an integral of the pdf, then switch the order of integration.
ii. Find an expression for E[X*] (where k E N) of the form (1-Fx(x))h(x)dx
for a function h which you should specify.
1- (1+ x)-m if x >0
otherwise
(b) Now let Fx(x) =
where m e N.
i. For which k eN does the expectation E X* exist? Justify your answer
ii. Compute the cdf of the sample minimum X(1) of a random sample of size
n eN from Fx. For which k EN does E (Xu)*| exist?
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