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
Material for formwork and their specifications
Ground settlement occurs when pipe-jacking machine enters mixed ground with soils and boulders? The rate of cutting through soils is faster than cutting through boulders for pi
State Highways: These are trunk or arterial roads of a state connecting the National Highways of adjacent states and linking the district headquarters and important cities wit
charactor of fourth class brick
centroid of shaded area
What is cofferdams
journals for wet mix mecadam
pariods of one hundred years
Q. Granite Tiles for construction material? At every important station for public urinals granite may be used as wall cladding drain and foot rest material. The water sinks at
Grouted or Penetration Macadam: This is a specification where the binder is sprayed on a compacted layer of stone aggregates and is allowed to penetrate and bind the aggregat
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