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
Determine the ultimate bearing capacity of a square footing, 1 m × 1 m, resting on saturated clay of unconfined compression strength of 180 kN/m 3 and a bulk density of 18 kN/m 3
what is importance of positioning in different types of engineering?
Dead weight Dead loads are the weight of permanent components of the structures such as the weight of the elements and spheres, casing weight, weight of the false ceiling a
a clear illustration about working to part principle and some examples
In construction of a two-span bridge (span length = L) by using span-by-span construction, why is the length of about 1.25L bridge segment is constructed in first phase of construc
Explain Box jig? a) The box jig is so named because of its box shaped construction, closed from most of the sides. b) It is normally designed for those components having awk
Total loss of prestress The total amount of losses of prestresses may be accounted for in a prestressed concrete member by adding different losses which may take place for tha
Influence line-moment 1. Replace the point of interest with an imaginary hinge. 2. Rotate the beam one unit rotation by apply equal but opposite moments to each of the two
The Figure 1 below shows a section through a stairway for a garage in a new proposed dwelling. The stairway is 3 meters wide with 300 mm wide treads(7 treads) and 170 mm high riser
Define Remedial measures for Problems in Turbid Water - Absorption? The process of absorption of light can be overcome by using higher powered lighting, or by using more light
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