Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Univariate normal distribution:
Let X = (XI, X2, ..., Xn,) has the multivariate normal distribution (5.26) of Section 5.4. Show that Y = a X ' follows a univariate normal distribution where a = ( a1 a2 ..., an, ). Also find the mean and the variance of Y.
Solution:
We have
My(t)= E (etY)= E(etaX') = E(eτX')
where τ = ta = (ta1, ta2,..., tan ).
From Example 3 of Section 5.4, we have
MX (t) = E(e tX') = e τμ' +1/2(t∑ t')
Hence
My(t) = MX(τ) = eτμ' - ½ (τ∑τ') =e t(a μ')-1/2 t2(a∑a')
=e tμ -1/2 t2 σ2
Where
MX(t) = e tμ+1/2 (t2σ2)
in other words Y - N ( μ, σ2 ) where
Define the Cavitation - underwater inspection of bridge? Cavitation damage is caused by repeated impact forces caused by collapse of vapour bubbles in rapidly flowing water. Th
what is meant by geodetic survey
Q. Calculation of crack widths arising from thermal movement In the calculation of thermal movement, the below formula is used in most codes: w max =s x a x (T 1 +T 2 )/2
moment area method
Q. Write briefly for Trolley Permits? It is the permit given to the Moter Trolley / Push Trolley, Cycle / Moped Trolley. It is essential to have Trolley Permit before taking t
Question: What are dissimilar applications of draglines, backhoes and shovels? Answer: An excavator is distinct as a power-operated digging machine and it includes di
Q. What is Rapid Sand Filter? A Rapid Sand Filter is a water treatment plant that includes provision for pre treating the water by coagulation and sedimentation for settlement
what are concrete types?
Q. What is objective method of assessment? Track recording consists of objective method of assessment of the quality of track with the help of sophisticated equipments. A conti
Define the proess of Eccentric Prestressing In this form of prestressing, the centroid of cross-sectional areas of tendons is not located at the centroid of the cross-section.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd