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
Distortion energy theory: Let us now consider the solid shown in Figure. (a) By inspection we may see that the solid is safe according to principal stress theor
Define the Hazard Ranking system (HRS) - A procedure for ranking uncontrolled hazardous waste sites in terms of the potential threat based upon the containment of the route of
Estimate total dissolved solids, Alkalinity and Hardness A sample of water from Brazos River at Brenham was collected and analyzed for water quality characteristics and the dat
Define and distinguish among coefficient of volume compressibility and coefficient of consolidation. Explain clearly one method of computing coefficient of consolidation, given
Q. Purpose of reinforcement in concrete roads? The major purposes of reinforcement in concrete roads are: (i) To control the development and pattern of cracks in concrete p
give a brief definition of surveying and describe its fundamental purposes
Need this assignment due in 10 hours
Derivation of Moment-Area Method
give the two aspects of honesty& explain
#question a pilot entering a bay on course 60.3 degrees at speed 12 miles per hour sees a light bearing 37.3 true and 20 minutes later he sees it bearing 20.0 degrees true. if he k
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