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
closed traverse maths problems
Calculate the Benefit-Cost Analysis Ratio A city engineer is deciding which of two alternatives to select. If the interest rate is 10% per year, the Benefit-Cost analysis rat
Tests on Limestones Practical tests are made on lime stones to decide their suitability is following: i. Physical tests ii. Heat test iii.
Thermal stresses: In Thermal stresses, you have studied (a) The effect of temperature on bodies and materials, (b) The concept of thermal stresses, and (c) The techni
an opening of width 3m and height 2.7 in a brick masonary has to be provided with door cum window. plan, elevation, section and 2 joining details
Definatiom
1. All testing shall be done at room temperature. 2. No bearing shall be tested earlier than a week after vulcanization. 3. Bearing sections shall be cut from test bearings w
Limitations of trabsmibilty of forces
view particle size grading curve
Define Chlorides - underwater inspection of bridge? Chlorides do not attack plain concrete when present in the concentrations that normally exist in seawater, but may greatly a
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