Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3.x₂ =x3 =L =x = t0 2 20→00 10000000000000 004X₁ =100100100100Then find a stable age distribution vector.

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Answered: Use the age transition matrix L and age…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B'. B = {(2, 5), (1, 2)}, B' = {(-1, 10), (-1,5)} ↓ 1 Need Help? Read It Watch It
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Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3. L = 7 ↓ 1 0 2 20 00 -8 ↓ 1 Need Help? 00 0 → 0 Then find a stable age distribution vector. -0- x = t 1 X1 = Read It 100 100 100 100
c) Consider the following table: i 1 2 3 4 5 6 7 8 9 10 R₁ 0.7329 0.9755 0.6761 0.0917 0.1584 0.2858 0.8564 0.3628 0.4337 0.5822 Assuming an M/M/1 setup, a service rate of 18 customers every 5 minutes, and a traffic intensity of 0.95 for a pdf characterized by the exponential distribution, compute the correpsonding variates.
Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and X3. 02 20 1 4 000 01 00 00 0 x2 = X3 L = x = t ↓ 1 ↓ 1 →>> 1 1 - T Then find a stable age distribution vector. → X₁ 60 60 60 60
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Economics Now suppose that the time series process {Xt}, is expressed as Xt = z + et where et is iid with a mean of zero and a variance of σ , and the variable z does not change over time (time invariant) which means it has a mean E(z) = 0 and , and it is assumed that z and et are uncorrelated: i. Find the mean xt , E(Xt) and the variance Xt, var(Xt). Do they depend on t? ii. Determine the covariance of xt and xt+h for h > 0, Cov(Xt , xt+h) iii. Is xt stationary? Explain.
1.STATISTICAL INFERENCE

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Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and X3. 02 20 0 00 4 01 00 0 X2 11 L = 0000 - 0 0 → X₁ = 100 100 100 100