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
fabrication methods of ironmongery
how to read the levelling staff
purpose
A credit card advertises a nominal rate of 18% compounded monthly. If no monthly payments are made, the effective annual interest rate is most nearly: The actual rate is, (18%
i. On single line by one or two men as required following and proceeding the lorry at a distance of 600 m. on the BG and 400 m. on the MG & NG carrying a banner flag across the tra
find the pressure head at 2-2 if the rate of flow in pipe is 0.36m^3/s
How to calculate point of contraflexion on an overhanging beam with udl
introduction of levelling
Q- What is the difference between painting, polishing and varnishing as for as woodwork is concerned? What are their advantages and disadvantage? Ans. - Painting - P
A 2 m wide strip footing is to be constructed in a sandy stratum of 2 m thick. The depth of the footing is 1 m below ground surface. The sand layer is underlain by lm thick cla
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