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
Types of Cement In addition to ordinary Portland cement there are various varieties of cement. Significant varieties are briefly explained below: (i) White Cement: The ce
defination
Explain the shrinkage strain of concrete Shrinkage of concrete depends only on the interval of time and the moisture conditions, but is independent of the stresses in the membe
The 6 monthly payment application for the construction of a $70,000,000 University dormitory is analyzed and the summary accounting show: the budgeted cost of work performed is $14
Procedures of graphical interpolation
tupes of dam
the base of an isosceles triangle and the altitude is drawn from one of the congruent sides are equal to 18cm and 15cm , respectively . Find the lenghts of the sides of the triangl
Permissible Stresses in Steel As per the Indian code, the permissible stresses in the tendons at the time of initial prestressing should not exceed 80% of the characteristic t
Disadvantages of cement sand mortor
seasoning of timber
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