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A poor ignorant who humbly seeks to learn.


Jan
15
comment Autoregressive model with exponential lags
sorry for my delay. In your model your saying that a shock at time $t$ has a long impact in your time series. Your ACF decays very slowly. As you know you prefer a parsimonious model, in your model you have 1000 parameters to estimate! in ARFIMA model you have for the long memory only one: $d$.
Jan
8
awarded  Teacher
Dec
8
answered Autoregressive model with exponential lags
Sep
17
awarded  Commentator
Sep
17
comment Estimation/identification simple problem
Do you think I can impose a restriction on k? For example k>0
Sep
17
comment Estimation/identification simple problem
Mpiktas, thank you. So nonlinear regression model should be the way.
Sep
17
accepted Estimation/identification simple problem
Sep
17
comment Estimation/identification simple problem
@mpiktas just to allow forecasts
Sep
17
comment Estimation/identification simple problem
@Chernick normal and independent and identically distributed
Sep
17
asked Estimation/identification simple problem
May
12
awarded  Scholar
May
12
comment Some doubts about conditional expectation
Thank you very much. So I know that a covariance matrix has to be positive definite. Can you provide me some reference on conditional expectation and variance for this kind of exercises?
May
12
accepted Some doubts about conditional expectation
May
11
comment Some doubts about conditional expectation
$Var(Z_t)=Var(X_t)+Var(Y_tX_t)+Var(Y_t)$ where $Var(Y_tX_t)=Var(Y_t)*Var(X_t)+COV(X,Y)$ therefore $Var(Z_t)=1 + 1 \times 4 + 2 + 4 = 11$ ?
May
11
revised Some doubts about conditional expectation
added 6 characters in body
May
11
comment Some doubts about conditional expectation
You're right my mistake. I fix it immediately. But I don't get the point on the variance.
May
11
revised Some doubts about conditional expectation
added 120 characters in body
May
11
asked Some doubts about conditional expectation
May
5
comment Parameter estimation from a Normal distribution
Ok, I get your point. So I show that $E(\bar{X})=\frac{1}{T}\sum E(X_i)$ therefore $E(\bar{X})=\frac{1}{T}\sum \mu$ concluding $E(\bar{X})=\frac{1}{T}T \mu = \mu$. The same for the variance and also for the property.
May
4
comment Parameter estimation from a Normal distribution
Dear Jbowman, thank you for your reply. What do you mean "at a sufficient level of detail", the sample mean is an unbiased estimator for the mean of the true population. So you're right that $\bar{X}=\frac{1}{T}\sum X_i$ but I don't see the reason to include in the proof. I think all we need for the proof is the properties of the expectation operator, variance and the sample mean distribution (asymptotic distribution of the estimator mean). Or Am I wrong?