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
Transportation topics assignment
Break even point: EM Electricals, Inc., contains fixed costs of Rs. 600,000 this period. Variable costs involved labour charges of Rs.100 per unit and material cost of Rs. 200
Question For fixing of silt curtains, what is the reason that it does not desirable to design the curtain to touch the seabed ? Answer Silt finished are resistant ve
Define Equipments and tools for Inspection of Steel/Cast Iron Substructures? To ensure thorough inspection, the area must be cleared of all marine growth. Hand tools such as wi
How to identify bitumen & tar just looking at those two binders.
Dimples in Polytetrafluoroethylene (PTFE) PTFE is a fluorocarbon polymer that possesses good chemical resistance and can function in a wide range of temperature. The most signi
Define Recommendations for confined elastomeric pad? (a) Permissible limits for confined pressure on elastomer pad depends upon effectiveness of internal seal preventing it fr
defects in timber?
Question In a concrete compression test , usually 150mmx150mmx150mm concrete cube examples are used for testing. Why isn't 100mmx100mmx100mm concrete cube samples used in test in
HowWet mix macadam is prepare
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