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Question: Consider four components of U.S. monthly industrial production index from January 1947 to December 2012 for 792 data points. The four components are durable consumer goods (IPDCONGD), nondurable consumer goods (IPNCONGD), business equivalent (IPBUSEQ), and materials (IPMAT). The original data are from the Federal Reserve Bank of St. Louis and are seasonally adjusted. See the file m-ip4comp.txt.
• Construct the growth rate series zt of the four industrial production index, that is, take the first difference of the log data. Obtain time plots of zt. Comment on the time plot.
• Build a VAR model for zt, including simplification and model checking. Write down the fitted model.
• Compute one-step to six-step ahead predictions of zt at the forecast origin h = 791 (December 2012). Obtain 95% interval forecasts for each component series.
Construct counterexamples to the following statements: For x ∈ R: 'If x is not rational then χ - 1/ χ is not rational'. For p ∈ N: 'If p is prime then 2p - 1 or 2p + 1 is prime'
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Using a uniform prior distribution, find the posterior distribution of θ, the fraction of students in special education classes who have the disability. Find the posterior mean, mode and standard deviation of θ, and plot the posterior density
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MFE Spring 2017 Mathematical Foundations Assignment. Eigenvector decomposition: Consider the matrix: What are A's eigenvectors and eigenvalues? What are the matrices Q and Λ in the spectral decomposition A = QΛQT. Is A positive definite
The firm's financial health was damaged significantly by the generous dividend policy, and it filed for reorganization in March, 1933. Tragically, the firm's president took it very personally and shot himself three months later.
Problem: Match the graphs of the three functions shown below with the graphs of their derivatives.
A pound of supplement two added to each productions batch of Toasties will provide 2 units of vitamin A and 1 unit of vitamin B for each box. How can Ajax satisfy these minimum vitamin requirement while keeping the cost of supplementary ingredient..
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