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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18 views

Probability limit of OLS estimator with x^2

I am having severe trouble on part (ii) of this question. And have had no success in finding the solution for it on the internet. Does anyone know how I should proceed?
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31 views

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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10 views

Assessing the ability of dividend yields to predict stock returns using out-of-sample forecast errors

In Introduction to Econometrics, 3rd Edition, by Stock and Watson, there is a short example about evaluating the ability of using dividend yields (current dividends over price) to predict future stock ...
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Is it reasonable, in panel data, to use past values of explanatory variables as instruments to deal with simultaneous causality?

I am trying to examine the determinants of economic growth, essentially regressing a number of variables upon economic growth. I face a problem that there is likely simultaneous causality between many ...
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20 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: ...
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5answers
698 views

What are some further readings in Econometrics you recommend?

I've reached the end of my Econometrics courses for the undegraduate level at my university, but I would like to continue learning. I hope I could get some recommendations for further reading. I ...
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9 views

Estimating the relationship between mutual fund alphas and market volatility

I am writing a dissertation on the relationship between mutual fund alphas and market volatility. As I have never performed an empirical analysis before, I would like to have some opinions on the ...
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Shin 1994 cointegration test

How can I do Shin (1994) cointegration test on either Eviews, R, or Matlab? Shin (1994) extends the KPSS test to incorporate the regressors to be a cointegration test. Please help me in finding out....
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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 $\...
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5 views

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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1answer
31 views

is there a difference between E[e|x]=0 and E[e|d=1]-E[e|d=0] in continuous vs discrete case in regressions?

in the discrete case, if assignemt is random, then i can express E[y|d=1]-E[y|d=0] = B + E[e|d=1]-E[e|d=0], where the expectation of the errors are the same for both groups and become zero. Where I am ...
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53 views

Dynamic model and serial correlation

I'm interested in estimating the effect of the $event_t$ variable in the price volatility of a financial instrument with the following model $$V_t = \beta_0 + \beta_1 \ |\Delta p_t| + \beta_2 \ ...
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22 views

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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26 views

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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1answer
32 views

How to predict income n years after graduation using income dataset with age, but not graduation year?

I'm trying to predict the income of graduates of certain Master's programs n years after graduation, using the American Community Survey individual level dataset to calibrate my equation. It gives me ...
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8 views

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 ...
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1answer
72 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 ...
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25 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 ...
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2answers
54 views

Heteroskedasticity assumption in fGLS into linear form?

I am following Chapter 8 ("Heteroskedasticity" p. 259) in the 6th edition of Woolridge Introductory Econometrics: A Modern Approach and I don't understand one piece of the transformation of our model. ...
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41 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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1answer
52 views

Gapminder and OurWorldInData [closed]

I have found two great resources to learn about the distribution of goods (of any kind) all over the world: gapminder (Hans Rosling) ourworldindata (Max Roser) By reading their "about" sections they ...
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1answer
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ratio independent time-invariant variable

I run the following function: $$Y_{it} = a_0+a_1*X_{it}+K*a_3+\epsilon_{it}$$ where $X_{it}=M_{it}/N_{it}$ is a generated variable. I got data $Y_{it}$ for the period from 2010 to 2015. Due to data ...
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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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Dividing households by income

I wonder how one should (or does) divide households by income in a sensible way. Say you want to divide households in a country into five income groups: very small income small income medium income ...
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2answers
33 views

Market baskets: cross-border comparisons

The concept of a market or consumer basket is quite intuitive. I assume a market basket for a given country tells for which goods an average person spends how much of her money. To be able to compare ...
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1answer
85 views

What is the appeal of DSGE models?

As far as I understand people like them, because they fit the data quite well when compared to VAR's for example while also having an economic interpretation. They appear to explain observations in a ...
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22 views

Stationarity of log industrial index and log CPI

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 ...
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1answer
18 views

Gapminder's Dollar Street and the role of self-supply

I find it quite hard to get a clear picture of what the income numbers in Gapminder's Dollar Street tell. How to compare \$27 in Burundi with \$10,098 in China? What would it mean that the family in ...
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24 views

Econometrics: Is it feasible to use the “effect of the treatment” estimations from a diff-in-diff as dependent variable?

Basically I have many treated units and I would like to estimate (by applying the Diff-in-Diff methodology) the effect of the treatment. In my particular case it's very likely to observe certain ...
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1answer
28 views

Does it matter if there's simultaneous determination between two dependent variables?

For example, if I have an equation $$ y = \beta_0 + \beta_1 x_1 + \beta_2 x_2 + u $$ Where $x_1$ and $x_2$ are simultaneously determined, say $$ x_1 = \gamma_0 + \gamma_1 x_2 + \gamma_2 z_1 + e $$ $...
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1answer
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Physical goods in a typical household

Estimating how much of physical goods a somehow typical person or household owns today (say in the Western world, compared to former times) is not so easy I guess, but there is one single number that ...
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25 views

Feature Scaling before applying Cubic Splines?

Should I standardize my features before applying Splines? More specifically, I am running the following code to transform my features: ...
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16 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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8 views

Using Gretl for ARCH model

How to forecast of volatility with use ARCH model in gretl? Because if I use function "gig" I get non positive coefficients for ARCH(2), ARCH(3),...
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2answers
55 views

Should coefficient on interaction term be positive or negative?

I have the following model for housing prices price = $\beta_0$ + $\beta_1$ sqrft + $\beta_2$ bedrooms + $\beta_3$ sqrft $\times$ bedrooms + $\beta_4$ bathroom, where sqrft is square feet. I am ...
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1answer
20 views

Spurious regressions [closed]

If $\{ X_t \}$ is a $I(1)$ series and $\{ Y_t \}$ is a $I(0)$ series, would it cause "spurious regression" when regressing like $Y_i=\beta_0+\beta_1 X_i+u_i$? Thanks!
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1answer
29 views

Possible regression biases with GDP [x] vs Health expenditure [y] (both per capita)

I am regressing per capita health expenditure on per capita GDP. I have 3 data columns (health expenditure, gdp, population) So my regression function is healthexpenditure/population = b0 + b1.(gdp/...
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12 views

Generating Variable frequency

I three variables, zipcode, date (month_year) and name of an installer. I need to generate: 1- a new var that is equal to the number of repetitions the installer name is repeated in month_year and in ...
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1answer
42 views

How does one do a hypothesis test for elasticity?

Given the regression output $$\widehat{\ln cons} = \underset{(0.6018)}{0.4054} + \underset{(0.0744)}{1.2739}\, \ln m - \underset{(0.1902)}{0.6666}\, \ln p_1 -\underset{(0.2645)}{1.6146}\, \ln p_2$$ ...
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Mankiw, Romer & Weil: Estimating Implied Alpha & Beta

I am replicating Mankiw, Romer & Weil (1992) with data from 1995 through 2015, and I wondering how they estimated the implied alpha and beta. Thank you, For those curious, the paper can be found....
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1answer
29 views

Difference-in-differences Matching

I have a difference-in-differences analysis. My treatment is at the county level. Each county received the treatment at a certain point in time. I want to proceed with a propensity score matching as ...
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13 views

GARCH(10,10) model

I try to find an easy and understandable description of How to calculate a short-term variance in garch model, when p and q are not equal 1. Let's have a look at this video: https://www.youtube.com/...
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Do all parameters have to have the same nature in a structural change test?

Lets say I am building a market model to estimate the beta of a stock with respect to a index of stocks. The beta maybe Constant / Autoregressive of order 1 / doing a random walk. I realize there are ...
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VAR model OLS line by line

I am estimating a VAR model line by line. Lets say the conditional variances are correlated. We would expect size distortion. So we would use another method, perhaps a HAC standard error to account ...
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1answer
29 views

Interpreting coefficients with Delta ln as independant and dependent variables

Imagine we have a DGP such that $$ \Delta \ln y_{it}=\beta\times\Delta\ln x_{it} $$ How do you interpret the $\beta$ coefficient, since it is expressed in an approximation of a growth rate? Thanks ...
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29 views

instrumental variables

I have a question related to IV methods. Suppose I have a regression $Y = a + b_1 X_1 + b_2 X_2 + \epsilon$, where $Y$ is a dependent variable and $X_1$ is an endogenous independent variable and $...
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1answer
28 views

Is inconclusive region in durbin watson a problem?

What to do if my durbin watson is found to be inconclusive? Do I have to change my model?
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9 views

Transformation of cutpoints in Ordinal Probit/Logit regression

The likelihood for an ordinal probit/logit regression model is given as - $f(y|\beta ,\gamma ,z ) = \prod_{1}^{n} \left [ \Phi (\gamma _{j} - x_{i}'\beta ) - \Phi (\gamma _{j-1} - x_{i}'\beta ) \...
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1answer
39 views

Should the control variables in an econometric regression be correlated with both the dependent and the primary independent variables?

If, for instance, my dependent variable is some happiness index, and my independent variable is a dummy for whether they experienced some randomly occurred natural disaster. I am trying to analyze the ...
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41 views

How do we calculate Beta in a OLS regression of the mean of y on the mean of lag of y?

In a simple OLS regression we calculate the estimator Beta by dividing the covariance of x and y by the variance of x. How do we calculate the estimator Beta if we regress the mean of a variable (at ...