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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How can I test for autoregressive residual terms in a fixed effects panel Poisson model?

I have panel data for counts of new firms in different regions for six years. I am estimating a static poisson regression with multiplicative fixed effects$^*$; I have also tried to estimate a dynamic ...
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41 views

Endogeneity in demand estimation using demand systems estimations

Assume I have quantities and prices for J products across M markets in T periods. I want to estimate their elasticities. I construct J regressions of this type: $$\log \left(q_{j m t}\right)=\alpha_{t}...
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33 views

Max Likelihood Estimators of a stable Gaussian VAR$(p)$ process. Are the Lutkepohl formulas correct?

In «New Introduction to Multiple Time Series», page 90, we have the following formulas for the ML estimators of a stable Gaussian VAR$(p)$ process: where $\tilde \alpha = vec(\tilde A_1,...,\tilde ...
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76 views

R reproducible example, restrictions on cointegrating equations

The code given below estimates a VEC model with 4 cointegrating vectors. It is a reproducible code, so just copy and paste into your R console (or script editor). ...
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232 views

Explanation of paper's econometric assumptions

The authors of this paper (http://andrewleigh.org/pdf/GunBuyback_Panel.pdf) appear to be essentially regressing the change in the death rate to the change in guns from a gun buy back in Australia, at ...
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169 views

Econometrics: Weights in regression that contains averages

Let's say I have a regression of the form: $$y_j=a_0+a_1*T_j+a_2*X_j+u_j$$ where $j$ stands for county, and $y$ and $X$ are averages over worker outcomes/characteristics for each county, and $T$ is ...
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56 views

Non parametric and parametric tests of martingale?

A martingale is a model in which the expectation for the next value is equal to the presently observed value, even given knowledge of prior values, ie $E(X_{n+1} |X_1, X_2, ..,X_n)=X_n$ What tests ...
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61 views

Question about using elasticities to compare difference rates but with different normalization

Lets say I am estimating a regression of a death rate per 100k people on an economic shock, so: $y = \beta_o + \beta_1 * X+ error$ where the dependent variable is the death rate, and x is the measure ...
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23 views

Instrumental variable regression: How many interpretations?

I was reading Amemiya "Non-linear regression models" (1983) in which he says that This statement should not be construed as a criticism of Theil's interpretation. I know of at least six ...
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17 views

Proof of Criteria for Local Identification in Rothenberg (1971)

My question is regarding Theorem 1 (page 579) of Rothenberg (1971). It is associated with four assumptions given on the same page. But, I only have a question about a single step of the proof, so I ...
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82 views

What is the observable definition of “preference” by Frisch?

To make things weird, although Frisch was fully aware of the importance of random distribution in economics relations, he never mention the randomness in binary preference relations! How to define ...
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66 views

Continuous logit models - random utility with uncountable choice set

This question is about the mathematical foundations of the continuous logit model, as derived in McFadden (1976) (https://eml.berkeley.edu/reprints/mcfadden/math_theory.pdf) and Ben-Akiva et al (1985) ...
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17 views

How reliable is ECB's financial derivatives data?

I am trying to use QSA financial derivatives data retrieved from the ECB's database (this is actually compiled by ECB and Eurostat). To be more specific, the data is: Financial derivatives held as ...
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37 views

comparison of micro production functions

There are many different production function estimation methods, relevant for micro and firm data. For example Olley-Pakes, Levinsohn-Petrin, Ackerberg et al., Wooldridge etc. But does anyone know of ...
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219 views

Combining Difference-in-Differences with Matching Methods When Parallel Trends Are Met in Unmatched Data

I'm running a difference-in-differences (DID) regression on panel data as follows: $$ Y_{it} = \beta_{0} + \beta_{1}Treat_{i}\times Post_{t} + \mathbf{\Pi}\mathbf{X}_{it} + \tau_{i} + \gamma_{t} +\...
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22 views

Random effect Vs Fixed effect with the 10 CAN provs as cross sections

Im working on a model examining the effect of minimum wages on employment over the 10 provinces using a panel data set. I have used the Hausman test to decide to use RE or FE, in which it recommended ...
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68 views

What type of biases arise from DID estimation using aggregate data?

I'm considering using difference in difference techniques to write my last two undergraduate papers relating minimum wages and employment/poverty. I've been told issues arise with using aggregate data ...
3
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321 views

Recursive assumption - Identifying exogenous monetary policy shocks

I am reading through "Monetary Policy Shocks: What Have we Learned and to What End?" and am hoping someone here can offer a bit of clarity about a claim made within about how measurement error in data ...
3
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344 views

A theoretical/mathematical approach to cost-benefit analysis and cost-utility analysis in health economics

I am looking to get some resources looking at health economics from a pure mathematical point of view, ie developing models using partial differential equations or complex analysis. In particular, I ...
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48 views

GMM: Under What Conditions Does Adding a Seemingly Unrelated Moment Condition Increase Efficiency?

For simplicity, I'll offer the simplest of endogenous models. Suppose we have the following scalar model: $y=\beta x+u$ where $E[ux]\neq 0,\;E[uz]=0\; \text{and}\;E[u^2|z]=\sigma^2$ Clearly we can ...
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79 views

One-Step estimators for non-linear regression

Let's suppose I have $\sqrt{N}$-consistent estimate, $\beta^{*}$(vector, but couldn't put it in bold), then doing the Gauss-Newton Regression, i.e. $\mathbf{y}-\mathbf{x}(\beta^{*})=D_\mathbf{x}(\beta^...
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17 views

Help Finding Information on “Power Trends” or “Polynomial Trends”

I need to prove some facts about the asymptotic OLS estimator, $\hat{\delta}$ in model: $ y_t = \alpha_t + \delta \cdot t^b + \epsilon_t $ where $\epsilon_t \sim iid(0,\sigma^2)$. I've looked at ...
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220 views

Systematic measurement error in explanatory variable

In the classical errors-in-variables problem, we are looking at the effect of $x^*_i$ on $y$, but $x^*_i$ is misreported. We have observations $x_i = x^*_i +u_i$, where $u_i$ has zero mean mean, ...
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196 views

SAS: How to do ARIMA procedure with structural break?

So it seems like my data has a structural break in it, using Box-Jenkins methodology and evaluation such as ADF test wont give appropriate forecasts/results if I do not correct for the structural ...
3
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228 views

Forecast of ARMA-GARCH model in R

I managed to forecast a GARCH model yesterday and run a Monte Carlo simulation on R. Nevertheless, I can't do the same with an ARMA-GARCH. I tested 4 different method but without achieving an ARMA-...
3
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133 views

Appropriate economic/econometric tools to analyze segmented promotion optimization problem

I'm trying to determine which micro-economic/econometrics concepts, models, and/or tools are appropriate for an analysis of promotions. Below I Describe the problem in general terms Give ...
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212 views

Estimation technique: Independent variable (taxation) unknown

I am trying to estimate $\lambda$ from this equation: $(1+ t_t) = \left(\dfrac{C_t}{Y_t}\right)^{\frac{1-\lambda}{\lambda}}$ After taking logs and approximations, I get: $t_t \approx \left( \frac{1-...
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1k views

How do I convert real gdp into chained-dollar real GDP?

I have quarterly data for real GDP from 1981-2015. I also have quarterly chained-dollar real GDP from 61-2012. I need to have them converted into one series. I've looked up several different formulas ...
3
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111 views

Difference-in-Difference on State Sales Tax Rates

In an attempt to evaluate a potential U.S. National Sales tax rate, it was suggested on this forum before that I consider a difference-in-difference on state sales tax rates before and after they ...
3
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122 views

Wold Decomposition and autocorrelations of AR

Is it possible to retrieve Autocorrelations ( value or any other info) up to a certain lag for an AR(2) stationary model using the Wold decomposition? Example: $$X_t=0.32X_{t-1}+0.51X_{t-2}+ \...
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138 views

Applying the Martingale central limit theorem to the score process of an autoregressive model

This question is a natural continuation of the following question: How do I construct the score process of a Markov model and verify that it is a Martingale? In this problem, we set up as follows: ...
3
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105 views

Differences between LATE and Heckman Selection

I have heard that a paper by Heckman and Vytlacil demonstrate comparisons between nonparametric Heckman selection (NP Heckit) and the LATE (local average treatment effect) framework. Could someone ...
2
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26 views

Do you know how to compute the IRF of a GARCH (1,1)

We have the following model (GARCH (1,1) ) $y_t=\sigma_t\epsilon_t$ $\sigma_t^2 = \omega + \beta*\sigma_{t-1}^2 + \gamma*y_{t-1}^2$ Note that we can rewrite the latter as: $\sigma_t^2=\frac{\omega}{1-\...
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25 views

Econometrics - Panel Data: Relationship between total, within and between

I need to prove the following statement, which is $\hat{\beta}_{total} = W(x)\hat{\beta}_{within} + (I-W(x))\hat{\beta}_{between}$, where $\hat{\beta}_{within}$ is the fixed effect estimator(i.e. the ...
2
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1answer
43 views

Do I have to bootstrap the dummy variables used for event dates in an event study?

I am doing a project where i am trying to estimate the effect of the inclusion of a stock in an ETF on its returns, meaning that i am trying to see how the inclusion of a stock in a given ETF affects ...
2
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0answers
15 views

Measure of Public Transportation Efficiency (Consumer side)

I'm looking for data on public transportation efficiency for consumers by city or county. In some places you can get across town in under 20min and in other places it takes 2hrs and this likely has ...
2
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0answers
25 views

Methodology of Estimating Economic Costs?

To be specific, I am currently devising an honours thesis proposal to estimate the effects of a lack of competition in consumer electronic repair markets on variables such as firm profits, consumer ...
2
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0answers
52 views

t test and F test are equivalent under single restriction case

In Classic linear regression model, under the single restriction $$y=X\beta +u$$ $$H_0: \beta_j=0$$ If I apply t test, then the t statistic is derived as follows $$\frac{b_j-\beta_j}{s\sqrt{a_{jj}}}$$ ...
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23 views

Is a spatial effect a random or a fixed effect?

Below is the definition taken from Wikipedia(with some minor alterations) Consider the linear unobserved effects model for N observations and $T$ time periods: :$y_{it} = X_{it}\mathbf{\beta}+\alpha_{...
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39 views

Estimating $\tau$ (cognitive hierarchy)

I am a little confused about how the parameter $\tau$ is usually estimated in a cognitive hierarchy model (recall that $\tau$ is the mean number of 'thinking steps'). For example, suppose that ...
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0answers
23 views

How to choose information criterion?

In time series analysis, it is often important to determine the optimum number of lags in order to remove serial correlation. For example, in VAR, Dickey-Fuller unit-root test or Granger causality ...
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0answers
30 views

On Cointegration with Structural Breaks

I am slightly confused about the requirements necessary to conduct a cointegration test with structural breaks such as the Gregory-Hansen test. Suppose I have two I(1) variables. Variable 1 follows a ...
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0answers
84 views

Which metrics best characterise 'socialist' and 'capitalist' economies?

I am interested in finding some metrics that capture how 'socialist' or 'capitalist' a country was throughout modern history, and to include these alongside those in the gapminder dataset, to explore ...
2
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0answers
39 views

Two different notations of the limit distribution of the trace test

I have seen two different versions of the limit distribution of trace test. If $B_u$ is a standard Brownian motion, then I have seen $tr\left\{\int_0^1(dB)B'\left[\int_0^1BB'du\right]\int_0^1B(dB')\...
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23 views

Non random matrix as instrument: consistency and bias

Where can I find references to see what happens theoretically if I want to use a non random matrix as instrument in terms of consistency and bias?
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0answers
15 views

Bayesian Lasso Standardized Variables Coefficient Interpertability

I am attempting to duplicate Belmonte et al. 2014. The paper applies a Bayesian Lasso to state space models to get better out of sample prediction. Bitto et al 2019 expands on this model. Their ...
2
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0answers
12 views

Measuring time discount in scheduled services: is there a literature in empirical economics?

Prices might be different, for the same service at some date, if you try to acquire the service two weeks in advance and again at a closer date (e.g. two days prior to the scheduled date), such as ...
2
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1answer
97 views

How to test if the effect of one regressor entirely comes from other regressors?

I have a regression model that includes IQ test scores as the dependent variable; my own education, my father's education and my mother's education as independent variables. Suppose I want to know ...
2
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1answer
54 views

Data analysis with GARCH modeling

I'm currently analyzing the relationship between stock, bonds, and real estate returns in Germany. I've gathered my data and am planning on estimating this equation: $\sigma_t = \beta_0 + \beta_1 R_{...
2
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0answers
42 views

If an endogenous explanatory variable is serially correlated does it mean that its lags are also endogenous?

in panel data when examining economic growth determinants lags are often used to account for endogeneity of explanatory variables. However if the explanatory variable is serially correlated, does it ...

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