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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11
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454 views

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 ...
4
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45 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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40 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 ...
4
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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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77 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). ...
4
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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 ...
4
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176 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 ...
4
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57 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 ...
3
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17 views

How to combine labor market time series when there is a methodological change that creates a break?

Any suggestions on how to combine time series of labor market variables (such as, for example, labor force participation) when there is a methodological change in the way the variable is calculated by ...
3
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27 views

At what level should I cluster my standard errors and why?

I have a yearly panel data in which each observation is a pair of monitoring stations (stations measuring water quality in rivers) one located upstream and the other downstream, each station in the ...
3
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30 views

GMM Estimation with HAC Weight Matrix in R

I am currently working on my econometrics assignment regarding a seminal paper of John Taylor (1993) and really got stuck during the last days with one specific question. I am supposed to set up a GMM ...
3
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70 views

Weighted OLS with weights as a regressor

Suppose one estimates: $$y_i =\beta_0 +\beta_1 x_i +\varepsilon_i$$ with weighted least squares using $w_i$ as weights. If one were instead to estimate $$y_i =\beta_0 +\beta_1 x_i +\beta_2 w_i +\...
3
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1answer
36 views

What is being meant by "cohort-specific fixed effect for each state of birth" in Card&Krueger(1992)? What does the following equation mean?

I am referring to this paper on school quality and returns to schooling. The econometric specification has been described by eqn (1) on page 4. The authors have taken "cohort specific fixed ...
3
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15 views

Modeling GARCH in R with other factors

I am new to GARCH model. I want to build a GARCH-in-mean model with the following forms $$ r_t = \mu + \lambda \cdot h_t + \sum_{i=1}^n \alpha_i \cdot X_{i}(t) + \epsilon_t$$ where $\epsilon_t$ ...
3
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66 views

Kleibergen Paap F-statistic

I have commonly seen references to a Kleibergen and Paap F-statistic. In their paper, I see a derivation of a chi-squared statistic, but don't see any references to the F-distribution or F-stat. In ...
3
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46 views

AR(q) Strongly Stationary

Consider an AR(q) process, $u_t$. If the roots of a characteristic polynomial are outside of the unit circle, the AR(q) process is weakly stationary. I've seen this proof that proceeds by showing the ...
3
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29 views

Get empirical steady state moments for calibrating a DSGE model

I want to calibrate some parameters of my DSGE model so that in the steady state some variable ratios, that are present in data, are met. My question is, how do I get such ratios from time series ...
3
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0answers
118 views

A doubt on summary statistic of post*treat variable of a paper using DID (Dong,2019)

Generalized DID or Staggered DID are DID using staggered treatment events. In Dong,2019's paper, he uses the framework as below: $Margin_{ikjt}$ = $\alpha$ + $\beta$ $(Leniency Law)_{kt}$ + $\delta$$...
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50 views

Which statstical method/model should I use with my study?

my dear fellows. I mainly do experimental research, so I run experiments in which participants play a game repeatedly (for 20 periods for example). The dataset I get after the experiments would be ...
3
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63 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 ...
3
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26 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 ...
3
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22 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 ...
3
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0answers
86 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 ...
3
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75 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) ...
3
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0answers
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 ...
3
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0answers
270 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 ...
3
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0answers
73 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
votes
1answer
419 views

Serial correlation and clustered correlation in FE and FD estimators

I'm running a regression on panel data, one time with Fixed Effects and one time with First Differences. The estimators are really different (the FE estimator is statistically significant and the FD ...
3
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0answers
349 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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0answers
346 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 ...
3
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0answers
50 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 ...
3
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0answers
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^...
3
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0answers
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 ...
3
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0answers
223 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, ...
3
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0answers
213 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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0answers
237 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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0answers
138 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 ...
3
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0answers
217 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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0answers
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
votes
1answer
141 views

Difference-in-Differences 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-differences on state sales tax rates before and after they ...
3
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0answers
125 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}+ \...
3
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0answers
142 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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0answers
106 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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0answers
31 views

Several questions on Simultaneous Equation Models

Question 1: Suppose I want to estimate the model $$ Y = \alpha_0 + \alpha_1 X_2 + \alpha_2 S + e $$ $$ S = \beta_1 X_1 + \beta_2 X_2 + e_s $$ where the $Y, S, X_2$ are endogenous. However, from what I ...
2
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0answers
39 views

Clustering Standard Errors for Panel Data with multiple clusters

I have a Group-Firm-Year panel data set (i.e., multiple firms make up a group). Suppose I have exogenous variation at the group level over time. In a panel regression with firm and time fixed effects ...
2
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0answers
36 views

Taylor rule estimation with OLS serial autocorrelation

I'm estimating the equation: $$i_{t}=\beta_0+\beta_1\tilde\pi_t+\beta_2\tilde y_t+\varepsilon_t$$ Where $\hat\pi_t=\pi_t-\pi^{target}$ and $\hat y=\ln y_t-\ln y^{\ast}$, are the inflation deviations ...
2
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0answers
53 views

The quadratic form of variance and covariance components

I am reading Kline, Saggio, Solvsten 2020 and am confused about some basic econometric stuffs in this paper. They begin their introduction as below: """ Consider the linear model $$y_{i}...
2
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0answers
45 views

Difference between AR confidence intervals reported in weakiv versus twostepweakiv

Should the Anderson-Rubin confidence intervals reported in weakiv and twostepweakiv be equal to each other? Sun (2018) does not ...
2
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0answers
30 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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