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# Questions tagged [econometrics]

Econometrics is the application of statistical methods to economic data for various purposes such as of testing hypotheses, infering causal relationships and forecasting future trends.

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25 views

### Multi-way clustering

I want to understand when and why multi-way clustering is necessary. Could anyone give a good example that provides intuition of when and why to use multi-way clustering that also illustrates why ...
97 views

### Interpretation of Incidence Rate Ratio for a Poisson Regression With a Non-Binomial Dependent Variable

Well, the name pretty much says it all. I have searched high and low, but I cannot find a concrete answer to the following question(s): How would one interpret the incidence rate ratio for a poisson ...
248 views

### Advice on upper and lower hemicontinuity?

Consider the correspondence f: $\mathbb{R}$ -> $\mathbb{R}$ defined by: f(a) = {x $\in$ $\mathbb{R}$:x2 + x $\leq$ a2} for all a $\in$ $\mathbb{R}$. Find the points where the correspondence is uhc ...
156 views

### Data Reduction using Principal Component Analysis

I have performed PCA over a data set containing 25 items (variables). PCA was performed in a view to reduce the number of items (variables) from the data set, so as to move forward with analysis. ...
44 views

### MLE estimation with serially correlated errors

I want to estimate the parameters of $a_t = a_{t-1}+\theta+\epsilon_t$ using MLE. Assume errors $\epsilon_t$ are serially correlated, then how would I choose the likelihood function?
20 views

### Derive the asymptotic distribution

Let $x_1, ..., x_n$ and $y_1, ..., y_n$ be two independent random samples from $X$ and $Y$. We have $µ_X = E (X ) > 0, µ_Y = E (Y ) > 0$ and $σ^2_X = Var (X )$ and $σ^2_Y = Var (Y )$. Derive ...
42 views

### How to derive the asymptotic variance from the sampling distribution of the OLS estimator?

The asymptotic sampling distribution, after taking plim, of the OLS estimator is given by $\sqrt{N}(\hat{\beta}-\beta) = E[X_iX_i^T]^{-1} \left(1/\sqrt{N} \sum_{I=1}^NX_ie_i \right)$ It must be ...
95 views

### Stochastic process difference equation: stationary distribution

How can I find the stationary distribution (as t goes to infinity) of stochastic difference equations in the form: $x_{t+1} = a*x_t + b*N(0,1)$ where N(0,1) is a standard normal pdf I have ...