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 Arrow Diagramming Method Activity-on-Arrow (Branch) with nodes as dependencies Uses finish-to-start precedence only. The solution method for an activity on
what is the different between axial force and shear force?
can you please derive the formula for eonomic span
Define Marine growth - underwater inspection of bridge? Generally, in seawater marine growth takes place. Acid generated by the marine growth attacks concrete. This can lead to
what is caviation
Explain the Anti Slip Devices - Bridge Bearing? It has been explained earlier that elastomeric bearings have a tendency to slip if the minimum normal pressure is less than 2 MP
A clay stratum of 18 metres thickness was found above a sand stratum when a boring was made. The clay was consolidated under the present overburden pressure. The hydrostatic pressu
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
Radial flow pumps for small flows and high heads In radial flow pumps, a diffuser/volute is generally designed at it outlet to convert the kinetic energy obtained during the pu
The liquid limit and plastic limit of clay are 100% and 25%, respectively. From a hydrometer analysis it has been found that the clay soil having of 50% of particles smaller than 0
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