时间序列期中代写 MAT 3379代写 时间序列代写 考试助攻

MAT 3379 Midterm

时间序列期中代写 You write this exam at home. Please submit via BrightSpace . Late submissions will not be accepted. It should be one, PDF file, which clearly

You write this exam at home. Please submit via BrightSpace . Late submissions will not be accepted. It should be one, PDF file, which clearly indicates your LAST NAME, FIRST NAME and SID. If possible, please write your answers in order, starting from Question 1, then Question 2 and so on. It will help me to mark your final exam as soon as possible. The exam is an open book. I am not monitoring you. However, I expect that you work on your own. I will contact few people at random to explain me their solutions of the final exam. Also, if I find a copy of this midterm exam on tutorial webpages, such as chegg.com, the entire final exam will be cancelled.

There are 6 questions.

GOOD LUCK !!!

Q1 (5 points) 时间序列期中代写

Let E(X) = 2, V ar(X) = 9, E(Y ) = 0, V ar(Y ) = 4, and the correlation between X and Y is ρ = 0.25

Calculate :

(a) Var(X+Y)

(b) Cov(X, X+Y)

Q2 (5 points)

Find the mean function and the covariance function for each of the processes below. For each processes, determine if the process is stationary or not stationary.

(a) The time series {x_t}, such that x_t = θ+te_t and {e_t} ∼ W N(0, σ² ),

where θ is a constant.

(b) The process {Y_t}, such that Y_t = X_t−X_t−1 ,and X_t comes from part (a).

Q3 (5points) 时间序列期中代写

Consider a process {X_t} , such that

X_t + 0.4X_t−1 − 0.21X_t−2 = Z_t − 0.09Z_t−2.

{Z_t} ∼ W N(0, σ²)

(a) Does this model have redundant parameter? if yes, reduce the model.

(b) Is the process stationary, causal, and invertible?

(c) Does this process have an ARMA(p , q) model? If , yes, give the values to p and q.

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