# 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. Only use this tag for questions relating to the theoretical aspect of an econometric technique.

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### Volatility measure in Diebold-Yilmaz connectedness approach

I am trying to create Diebold-Yilmaz connectedness table for returns and volatilities. When I do it for returns everything works properly (I can reproduce their work actually) but for volatilities I ...
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### How to I find some of the most basic US State-level economics (survey) data for each year?

Some of the variables that I am interested are the state-level GDP, population, income, saving, consumer spending, employment, investment, industry share, RD investment, etc. I've tried the US census ...
57 views

### Covariance between regression coefficient and residual

Given regression equation Y=Xβ + ε which satisfies all classical assumptions including those of homoscadasticity Estimated regression equation using OLS is the following - Y=Xb + e Where, b is ...
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### How to run Panel data analysis when data on the dependent variable is on a 5 year interval basis and that on independent variable is on yearly basis?

I am reading a paper which empirically tests if primary exports affect education attainment in LAC countries over the period 1965 to 2010. It uses percentage of secondary school enrollment as ...
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### What are the statistical tests I need to perform before I regress GDP on multiple variables?

I'm using data over 10 countries for the period 1975 to 2010. My objective is to check if the chosen regressors have significant effect on GDP. I have very basic knowledge of econometrics which I ...
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### what is the methods to check the impact of regulation on gender pay gap

i have a data for for the top 5 manager of 100 companies from 2010-2018 and i want to check the impact of a regulation that limits the max salary of managers in the financial sector on the gender pay ...
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### regression method for data that contain a number of observation for several years

I have a data set about 125 companies. For each company I have the salary and some other variables about the top 5 managers in each company. One observation contains the top 5 managers in each one of ...
69 views

### Mathematical framework for modelling the relationship between price and sales of a product

In my job as a data scientist, I am required to model the relationship between the price of a product and the sales or number of unit sold. I am trying to build a simplistic model, the assumptions of ...
17 views

### The Econometrics of Pay-To-Play In Youth Sports

Question: Are there any econometric theories that are applicable in studying what is commonly referred to as Pay-To-Play, in the world of youth sports. I want to preface by stating that I am not an ...
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### Should I care about stationarity when dealing with cyclical components?

I have downloaded time series data from the IMF-IFS website for 31 different countries. The time series are about GDP, constant prices, national currency (yearly); lending interest rate (monthly); ...
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### Rate of convergence and asymptotic dominance in $\Vert x \Vert \gg \Vert(\hat\beta-\beta)\cdot u\Vert$

Let $\Vert A \Vert$ denote the spectral norm of a random matrix. Let $x$ and $u_k$ be N$\times$T matrices. Denote $\beta \cdot u = \sum_{k=1}^K\beta_ku_k$, where $\beta$ is a K-vector and $\beta_k$ a ...
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### Components of matching estimator for ATT

Blundell and Costa Dias (2000) (https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1475-5890.2000.tb00031.x) present in page 448 a generic matching estimator for the average treatment effect on the ...
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### Should I include lags in an LLC unit root test?

I have panel data (N = 10, T = 20), which I intend to run a series of regressions on. I first want to see if my data are stationary in levels or in differences. To do this, I have been performing ...
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### Minimum observations for an econometric SEM

Good day for all: I have an econometric SEM with three equations similar to:  A = \beta_0 + \beta_1 B + \beta_2 G + \beta_3 H + u_1 \\ B = \beta_4 + \beta_5 C_{-1} + \beta_6 D_{-1} + \beta_7 E_{-1}...
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### Relation between variation of the drift and insurance fee?

what is the relation between insurance fee and the variation of the drift of the underlying asset? I've created a simulation code, and changing those two values does not change the result. As I assume ...
100 views

### Regarding some econometric problems

How do I know the specification in (3.2) is a chi-square distribution with df k-1? and why is it the case that the asymptotic variance of $\hat{\beta}_{FD}- \hat{\beta}_{OLS}$ is simply the ...
50 views

### Immigration supply shocks, fixed effects and model interpretation

I'm new to this and I've been racking my brains for a couple days trying to understand this model and how to run it in Stata. More than programming help, I think I just don't understand the model well ...
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### Using Propensity Score Matching to evaluate non randomized and fully implemented village fund program

So i want to make a research about the impact of this program to community empowerment and infrastructure in villages. But the problem is the program itself (at the first year) implemented to almost ...
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I'm looking to estimate a VAR, one of the variables in this VAR is the log of industrial production, and another is the log of the consumer price index. Will I need to difference these to get ...
22 views

### If all of LATE (Local Average Treatment Effect) assumptions is satisfied?

I would like to know intuitive and specific interpretation of LATE. If all the assumptions for LATE is satisfied, we can say that the Instrument Variable (IV) has an effect to estimate X on Y. Also, ...
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### AR(p) with white noise error term — always covariance stationary?

Is it always true that an AR(p) process with a white noise error will be covariance stationary?
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### Quarterly GDP growth terminology: YoY vs QoQ

Quarterly GDP growth can be calculated either in terms of YoY change or — in the case of seasonally adjusted data — in terms of QoQ change. (A third option would be to annualize the QoQ rate.) To ...
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### Categorical variable as explanatory variable (right hand side)

In a linear probability model, or any sort of regression, one can use fixed effect estimation by simply adding in a STATA code i.something. This "something" can be either a village, a county or a ...
26 views

### Vector Autoregression - Resource request

I am looking for resources that give a self-contained introduction to vector autoregression. To be a bit more specific, I am interested in VAR models and their application to isolating and ...
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### 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 ...
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### 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 ...
260 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 ...
166 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?
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### How to find variance of a white noise process?

I have a deterministic trend with a white noise process: $y_t = a + Bt + u_t$ How would I prove that the variance is just the variance of the error term?
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### Finding an instrumental variable for unemployment

I have the following regression model: Marijuana Usei = β0 + β1Unemployedi + β2Personal Incomei + β3Educational Attainmenti+ β4Sexi + β5Agei + β6Racei + εi The model is a probit model I need to ...
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### 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 ...
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### 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 ...
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### 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 ...