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
Streams Not Wholly Alluvial In streams which are not wholly alluvial, consisting of bed of pebbles, rock, etc. the liner waterway is kept equal to the actual surface width of
Stability of the upstream slope of an earth dam Give the step by step procedure for examining the stability of the upstream slope of an earth dam by the Swedish method of slice
Q. Factors determining the stability of a single armour unit There are mostly three major factors that govern the stability of an armour unit, viz gravity, intertangling and s
Q. Function of waterproof (or separation) membrane for concrete carriageway A layer of waterproof (or separation) membrane is usually placed between sub-base and concrete slab
Cut and Fill Calculation Using Cross Section Method
Explain the term - Circular Prestressing This term refers to the case when tendon profile is provided in a round shape, such as in water tanks and pipes, etc.
What is WBM road. How it is constructed?
what is the type of slope protection that use rocks and put cements between those rocks??the concept is same as brick layer
what is battened single laced steel column?
What is the difference between shear and tensile strength? Ans) Tensile Strength for a Bolt is explained by applying a Force along it long axis. Shear Strength for a Bolt is exp
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