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
A contractor established a policy to purchase equipment over leasing only if the return is a minimum of 15%. Given the following conditions, the contractor's decision based on the
When a dam is to be built, a diversion tunnel is usually bored by solid rock next to the dam site to bypass the dam construction site. The dam is built while the river flows by the
Define Installation of Pot Bearings? In a sliding POT bearing, positive fixing to the main structure may not be required if the bearing is always subjected to adequate vertical
Define Deferred maintenance - underwater inspection of bridge? Many problems of the substructure can be traced to lack of any maintenance in time, which again can be due to lac
Q. Explain Types Of Tiles? Different types of tiles available in the market for floor and walls & dado are as under - 1. Glazed tiles , 2. Ceramic tiles , 3. Granit
Question Why are manhole covers finished of cast iron as same are through of ductile iron ? Answer Usually, manholes covers are made of cast iron. Though, in viewpoint of pipe
Define the Fatigue failure - underwater inspection of bridge? Fatigue failure results in the fracture of structural members as a consequence of repeated high loading. Fatigue
Question Now, mainly flap valves are ended of HDPE. What is the major compensation of using HDPE as compared with cast iron? Answer (i) It has no response with sewage
Q. Write short note on Open Foundation? Broadly the foundation are classified into open i.e. shallow & deep foundations open as stated are shallow foundation where the soil str
ADVANTAGES AND DISADVANTAGES OF SINGLE FLUMESH BOUND
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