What conditions must non-linear time series models, such as vector autoregressive models, satisfy in order to use impulse response functions

Hello. May I ask how did you get the values? Were those only assumed values? Can you also explain how did you make the normal form thoroughly?

In attempting to formulate a model of the passenger arrival data on cruise ships over time would a nonlinear (perhaps a multiplicative exponential) model be preferable to a linear model of cruise ship arrivals against time? What about in the case of the passenger arrivals by ferry against time?

The equation, d(t) = 350 t + 6560 represents the tuition, d dollars, at a college for the year that is t years since 2013. Find an inverse function for this model. ++350 6560 t-6560 350 t-6560 300 t-350 6560 S (o

X(t) is a wide sense stationary stochastic process with autocorrelation function sin(271000r) R„(T)=10- 271000r The process Y(t) is a version of X(t) delayed by 50 micro seconds. {Y(t) = X(t - t0)} (a) Derive the autocorrelation function of Y (t). (b) Derive the cross-correlation function of X(t) and Y (t). (c) Are X(t) and Y (t) jointly wide sense stationary? IUnloaded File Details

Find a 3 x 3 stochastic matrix A that has exactly one initial state vector that will generate a Markov chain with a steady-state vector. A= 0.4 0.3 0.3 0.2 0.6 0.2 0.1 0.4 0.5

Sediment buildup behind a dam can adversely affect a reservoir's storage capacity. Measurements of a reservoir in 1988 showed it had a capacity of 500,000 acre-feet of water. Measurements in 2018 showed that the reservoir's capacity has been decreasing at a rate of 2,000 acre-feet per year. Find a linear model of the number of acre-feet A of water in the reservoir n years after 1988.

Colton is trying to figure out when two buses traveling at different speeds will pass one another. The buses are traveling in the same direction and begin 3 miles apart. He has defined variable tt as follows:   Let tt represent the time in hours.   Is this a good variable definition? YES OR NO ? IF NO than explain why?

After the end of an advertising campaign, the sales of a product is given by S=900,000e 0.2t where S is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) Find the rate of change of S (that is, the rate of sales decay). dS dt = (b) From looking at the function and its derivative, explain how you know sales are decreasing. The given function is an exponential ---Select--- ✓ model. Additionally, the derivative of the given function is always ---Select--- Pollution levels in a lake have been modeled by the equation x = 0.05 +0.18e-0.38t where x is the volume of pollutants (in cubic kilometers) and t is the time (in years). What is the rate of change of x with respect to time? x'(t) = With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care H can be modeled by H = 1,500 0.053t where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate,…

Which of the following statements is true under the Gauss-Markov assumptions? a. Among a certain class of estimators, OLS estimators are best linear unbiased but are asymptotically inefficient. b. Among a certain class of estimators, OLS estimators are biased but asymptotically efficient. c. Among a certain class of estimators, OLS estimators are best linear unbiased and asymptotically efficient. d. The LM test is independent of the Gauss-Markov assumptions. O a. a O b. b О с. с O d. d