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
layout of harbour
Q. Fire resistance of steelwork Because of the high thermal conductivity of steel, temperature of unprotected steel is almost the same as temperature of fire. Because the yiel
Explain the term - Loss of Prestress At the transfer stage, tendons produce compressive stresses in concrete. Sooner or later, the magnitude of these stresses experiences a re
Question What is key meaning of excellence of bentonite slurry in construction of diaphragm walls? Answer Quality of slurry plays a significant role in quality of di
Q. What do you mean by Depth of Scour? The maximum scour depth in a stream can be ascertained when ever possible by actual sounding at or near the site proposed for the bridge
What is bench mark
Explain the Operating Point - Pumping System Intersection of the characteristic curve and the system curve. This is the head and flow rate data for the pump "operation". The op
WHY RAFTING IS REQUIRED AND WHAT PRECAUTIONS SHOULD BE TAKEN DURING RAFTING? AND WHAT IS THE ALTERNATE OF RAFTING.?
Failure Due to Rupture of Steel This mode of failure is likely in lightly reinforced concrete members in which the ultimate strength of steel is attained before the concrete
how to bulid a bilding?
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