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 term - losses of prestress We know that with time, tendons lose some of their initial prestress (at the time of transfer of prestress). This is termed as 'losses of pre
what is the cause of scale and sludge formation and its diadvantages
the jet transport B is flying north with a velocity vB = 600 km/h when a smaller aircraft A passes underneath the transport headed in the 60 degree direction shown. To passengers i
Question What is major importance of air void content in bituminous pavements? Answer Air void content of bituminous materials is important control parameter for quali
3 types of obstacles in chaining detail
difference between moment and bending moment
What is hollow core flush door?
Penetration Test: A viscosity is measured indirectly by the penetration of a standard needle under standard conditions of load, time and temperature. The test measures the ha
what is battened single laced steel column?
Q. Why we need Transition slabs in bridges? In a number of designs, transition slabs are provided on the approach to bridges. For example soils in embankment supporting the ro
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd