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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425 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 ...
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32 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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75 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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231 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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157 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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55 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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1answer
44 views

Difference-in-Difference (DID) Regression with Non-Stationary (but Cointegrated) Treatment and Control Groups

I would like to run a DID regression between two periods where each period spans multiple years. For example: Period 1: 1970Q1-1990Q4 Period 2: 1991Q1-2010Q4. My treatment and control variables are ...
3
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1answer
35 views

Binary-continuous choice model in empirical consumer choices

There are quite a lot empirical research based on discrete choice models, in which the consumer selects one of J alternative goods to maximize her indirect utility. The key assumption of these models ...
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 ...
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33 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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151 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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67 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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339 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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43 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^...
3
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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 ...
3
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216 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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192 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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214 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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125 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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211 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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107 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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0answers
121 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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132 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: ...
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102 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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1answer
33 views

Can You Use Filtered Variables in OLS?

I have two variables that are non-stationary and contain stochastic trends. I used the Hamilton filter( an improvement over the HP filter) to remove the trend and isolate the cyclical component. My ...
2
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1answer
28 views

How to properly interpret logged interaction variables

I have the following regression to interpret elasticity of demand: Ln(demand) = const - 0.6*ln(fare) I understand that a 1% increase in fare results in a 0.6% decrease in demand I want to add dummy ...
2
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0answers
36 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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0answers
22 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
12 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
60 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
42 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 ...
2
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0answers
33 views

Regression analysis with interaction and decomposed main effect

I'm trying to figure out if I need to include the main effect in a regression analysis with an interaction if I am already including a decomposed version of the main effect. For example, let: ...
2
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0answers
64 views

Estimating CES utility (not production) function parameters

The CES utility function has the form \begin{equation} u(x_1,\dots,x_n)=\left[\sum_{i=1}^n\alpha_ix_i^\rho\right]^{1/\rho}, \end{equation} where $\alpha_i$ is the consumption share parameter and $\...
2
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0answers
33 views

How to know when survivorship bias is a problem

I have panel data where firms disappear from failure and mergers. Conditional on existing as a stand alone firm, I observe all firms. However, I am differencing two periods (Late - Early), and the ...
2
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1answer
65 views

Existing metric for personal productivity hours needed per life hour?

With about 50 hours of productivity a week, including work, cooking, etc. I can complete the tasks and pay the expenses necessary to live about a week. Subtract maybe 5 hours of labor that goes into ...
2
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0answers
36 views

How to control for population in Difference-in-Difference?

Random example, but let's say I'm examining the effect of a health program on influenza cases in India. They just randomly start the program in 7 of the 29 states. I have data on the number of flu ...
2
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0answers
114 views

Helping in understaing new Pesaran and Timmermann test (and R code validation)

I am currently working with Pesaran & Timmermann test version from year 2009. Since I could not find any R package that contains function to calculate it (...
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0answers
65 views

Simultaneous Equation Models for Estimating Demand for a Good

Suppose in an economy there are $G$ available goods $X_1,...,X_G$. We can formulate a system of $3G+1$ equations as below: $$Q^d_g = A_{g1}+A_{g2}P_g+\mathbf{A}_g\mathbf{Z}^d_g+u_g\quad(g = 1,...,G)\...
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0answers
67 views

Econometrically estimating the Leontief cost function

in general the Leontief cost function is represented as: $$c(w,y)=y\sum_{i=1}^kw_ix_i$$ where: $$y=\min\left[{\frac{x_1}{\alpha_1},...,\frac{x_n}{\alpha_n}}\right]$$ How does one go about ...
2
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0answers
28 views

Panel data: When can I used random effects instead of fixed effects? Are control variables necessary?

I have panel data for individuals in an economy that experienced fluctuations in employment levels. I also have some health information for these individuals, BMI, self-rated health etc., My ...
2
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0answers
89 views

Simulating the economy - is it an active field of research?

The question revolves around another motivating question: How does economics become more effective at predicting the behavior of the macro economy? For example, how does economics develop methods that ...
2
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1answer
322 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 ...
2
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0answers
122 views

Framing effects and the use of subjective wellbeing measures in behavioural

In my first foray into behavioural economics I have encountered two themes; - Self-reported subjective wellbeing (SWB) is commonly used as a measure of wellbeing. Survey based SWB measures are ...
2
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0answers
60 views

Addressing endogenity in price elasticity and the Promotion Optimization Problem

I have data on purchases gross prices discounts (like coupons) net prices (i.e. gross price - discounts) number of leads (potential customers at any given time) conversion rates (# purchases / # ...
2
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0answers
161 views

Fixed vs Random effects in panel data

I am an economist interested in looking at panel data on mothers, their husbands and their grandparents to determine the effect of the economic shock of the recession on their self-reported health ...

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