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
Explain the Underwater Problems and Material Defects? The major bridge construction materials are steel and concrete. In the past, stone and brick masonry, with lime mortar as
Determine the Size and Number of Aeration Basins? For a community of 100,000, determine the size and number of aeration basins in a municipal activated sludge treatment facilit
What are the problems in under water concreting?
Question General requirement for Civil Engineering Works in 1992 Edition, Clause 15.09 details that tying wires for strengthening adjacent to and above Class F4 and F5 closes must
what should we do if alkalinity in water is greater than 25
Under which situation shall engineers use jacking in agreement end only and from both ends in pre-stressing work?
Q. Application of bitumen to driven piles? In a certain area of H-piles subjected to ground water table fluctuation, painting is occasionally applied on the surface of H-piles
Distance ABC was measured with a 30m. Chain tested and found to be correct in the beginning of the work .after measuring AB=1.2 km chain was found to be 10 cm. To long chaining was
Loss of Prestress due to Creep in Concrete Due to the phenomenon of creep, compressive prestress induced strains in concrete increase. Because of it, strains of tendons decre
i) Describe the general significant of energy performance in industrial or commercial buildings. ii) Draw the building layout and produce an overall description that will have
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