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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4
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1answer
91 views

Multiplicative factorization of stochastic growth time series--solving for an eigenfunction/eigenvector

I'm trying to understand the tools used/presented in Lars Hansen's Econometrica paper "Dynamic Valuation Decomposition within Stochastic Economies." In a part in the paper, Hansen introduces a long-...
41
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1answer
26k views

What is structural estimation compared to reduced form estimation?

I've heard a lot of definitions given for structural estimation. But it's never seemed entirely clear to me. Some times I've heard that what one person might call "reduced form" estimation should ...
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3answers
19k views

What is the difference between two stage least squares and instrumental variable regression?

I'm doing independent study and I am having trouble understanding the difference between these two estimators. I get that 2SLS is predicting the endogenous variable, and that instrumental variables ...
3
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1answer
190 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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2answers
1k views

Books to self-study applied econometrics

I'm a student and I'm interested in focusing on the application of econometric theory to "practical" situations. It would be great if you can suggest freely available books along with those that are ...
5
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2answers
424 views

What is an econometrician?

According to Wikipedia, Econometrics is the application of mathematics, statistical methods, and computer science to economic data and is described as the branch of economics that aims to give ...
3
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2answers
191 views

How to justify the treatment and control groups for Difference-In-Difference with staggered implementation of laws?

A. Background: Dong, 2019 and Dasgupta, 2019 used the same way to generate the treatment and control groups because they all learn about the impact of the same laws on different dependent variables. I ...
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0answers
64 views

Example of the change of measure proposed in Hansen (2012)

In this question, I'm continuing to explore the tools used/presented in Lars Hansen's Econometrica paper "Dynamic Valuation Decomposition within Stochastic Economies" (2012). I'm trying to compute an ...
0
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1answer
347 views

Equilibrium Price - OLS Regression

I have asked another question related to price elasticity, which pretty much left me with this problem: I want to analyze the factors influencing the price of a product. The underlying assumption is ...
5
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1answer
75 views

Deriving First Order Condition of Hansen and Singleton (1982)

Hansen and Singleton (1982) considers the maximization of expected utility, \begin{align*} \max \mathbb{E} \sum_{t=0}^\infty \beta^t U(C_t) \end{align*} with respect to the budget constraint, \...
5
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1answer
59 views

Why we need to add firm and year relating independent variables in two-way fixed effect model?

From what I know, these terms are very basic in econometrics but I still not yet fully got it. To me, year fixed effect is to control time-variant omitted variables and firm fixed effect is to control ...
4
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1answer
68 views

Why excluding intercept is dangerous if there is no literature back up in DID setting?

Recently, I run the regression for the generalised DID following this paper: $Y_{it}$ = $\alpha$ + $\beta$ $(Leniency Law)_{kt}$ + $\delta$$X_{ikt}$ + $\theta$$_t$ + $\gamma$$_i$ +$\epsilon$$_{it}$ (1)...
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6answers
815 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 ...
4
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2answers
921 views

Math basics for Macro&Micro economics and econometrics

I have just been admitted to a graduate school for studies in economics and I major in public administration during my undergraduate time. I have learnt linear algebra, single variable calculus, ...
13
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5answers
4k views

Econometrics: Is elasticity meaningful in my, or any, regression?

A few months ago I interned at this organization; and, as a going away present, I decided to spend my last week, with whatever off time I had, to investigate the factors that affect teacher salaries. ...
8
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1answer
440 views

Alternative way of deriving OLS coefficients

In another question of mine, an answerer used the following derivation of OLS coefficient: We have a model: $$ Y = X_1 \beta + X_2 \beta_2 + Z \gamma + \varepsilon, $$ where $Z$ is unobserved. Then ...
13
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5answers
12k views

What happens if the “control variables” are also endogenous?

I work in Political Economy, and a lot of the models include "innocent" control variables such as population, inequality, colonial legacy, etc. so that the author can claim unbiasedness on their ...
12
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3answers
922 views

Understanding the construction of stochastic processes

I've seen stochastic processes modeled/constructed in the following way. Consider the probability space $(\Omega, \mathcal F, Pr)$ and let $\mathbb S$ be the (measurable) transformation $\...
9
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4answers
4k views

What are some good graduate-level econometrics books for someone with a strong mathematics background?

Related: Book recommendations on empirical methods in economic research and econometrics? I would like to focus mainly on graduate texts in Econometrics. From the question above, I gather that ...
8
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3answers
952 views

Book Recommendation for Microeconometrics of Discrete Data

I am looking for a few good books pitched at different levels to help analyse discrete data. Specifically: Specification, Estimation and the application of econometric methods to model discrete ...
2
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2answers
229 views

What is the relation beween Granger causality and Rubin's causality?

Granger proposed a test for causality based on time series, is there any relation with the notion of causality by Rubin that seems prevalent on applied micro work. The latter deals with the notion of ...
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2answers
80 views

In difference-in-difference approach, would it be possible to add a dummy variable indicating whether a data point belong to treatment group?

Since there is the possibility that there are some factors result in whether a data point belong to treatment group, I think we should add a dummy variable indicating whether a data point belong to ...
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2answers
1k views

Deriving the translog production function

Ive been having difficulty deriving the translog production function defined as: $$\ln y=\alpha_0+\sum_{i=1}^n\alpha_i \ln x_i+\frac{1}{2}\sum_{i=1}^n\sum_{j=1}^n\ \beta_{ij}\ln x_i\ln x_j $$ I know ...
6
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1answer
139 views

Is there a reproducibility crisis in Economics?

I am an undergraduate economics student, and came across this paper by John Ionnadis on 'The Power of Bias in Economics Research'. the findings are quite bleak. https://academic.oup.com/ej/article/...
6
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2answers
368 views

What is the difference between ATE and ATT?

I saw ATE and ATT in some discussions regarding DID settings recently. ATE is the Average Treatment Effect while ATT is Average Treatment Effects on Treated. I am wondering the difference between ...
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2answers
1k views

CES production function estimation

Introduction There are different ways of estimating the parameters of a production function. For example, single-equation and system equation techniques are both possible. Another difference among ...
4
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1answer
270 views

Efficient Market Hypothesis and constant ex-ante real interest rates?

According to Hayashi's Econometrics (page 151), efficient market hypothesis is a joint hypothesis combining: Rational expectations $\rightarrow$ expected inflation$= \mathbb{E}(\pi_{t+1}|I_t)$, where ...
3
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2answers
998 views

Laffer Curve Regression

I am doing some research on a potential U.S. Nationwide Sales tax. I found per-capita sales tax revenues and sales tax rates for each of the 50 states and conducted a quadratic regression on them. I ...
3
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2answers
69 views

Prediction Interval for $E(y|X_0)$ when model is in $ln(y)$

Let's suppose we have linear regression with dependent variable $ln(y)$. How would one find a prediction interval for $E(y|X_0)$ ? If we have $PI(E(ln(y)|X_0))$, is there a way to reach $PI(E(y|X_0))...
7
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1answer
315 views

Is there empirical evidence on usability of Cobb-Douglas production function?

I am trying to estimate a simple Cobb-Douglas production function $Y=AL^{\alpha}K^{\beta}$ on US data and get an unrealistic estimate of $\alpha$ and a high p-value for $\beta$. Structure of ...
5
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2answers
144 views

Decomposition of an additive functional into a Martingale part and other

This question relates to a theorem about the decomposition of additive functionals---a technique especially useful in macroeconomics and finance. This question has two objective. First, I don't have a ...
5
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1answer
107 views

Using an elasticity to evaluate changes in a dependent variable

Often in textbooks and online I see thte definition of an elasticity to be as follows: 1) $\epsilon = \frac{\frac{\Delta Y}{Y}}{\frac{\Delta X}{X}}= \frac{\partial \log Y}{\partial \log X}$ Thus, ...
5
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0answers
108 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$$...
5
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2answers
881 views

Dealing with Missing Data when Testing the CAPM

Question How should I deal with missing data when trying to test the CAPM? Specifically, there are some stocks that are newly listed and/or delisted at any time. I don't want to exclude assets for ...
4
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1answer
473 views

How does the companies set up utility function for its own purposes?

How does the companies set up utility function for its own purposes? In another word, what is the types statistics data that is usually consider and statistical method being used to set up these ...
4
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1answer
108 views

How do I construct the score process of a Markov model and verify that it is a Martingale?

The following is a specific question that is useful for demonstrating a general idea. Consider the following autoregressive model: $$ X_{t+1} = \alpha_0 + \beta_0 (X_t - \alpha_0) + W_{t+1}, $$ where ...
4
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2answers
173 views

Re-evaluation of Consumer Price Index (C.P.I.) weights

How are the weights of the various household items in the Consumer Price Index (C.P.I.) basket decided, i.e., how are they re-evaluated every year? Is it done manually or automatically? If its done ...
4
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3answers
1k views

How is the ARIMA model a valid approach for forecasting Economic Variables?

Ive noticed the use of univariate forecasting methods (i.e the ARIMA model) employed in forecasting inflation (see references below). How is this a valid approach in terms of forecasting economic ...
4
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2answers
231 views

How to clarify the description of common trend assumption?

From reading a paper, I saw the way they describe the common trend is Specifically, DID designs assume that confounders varying across the groups are time invariant, and time-varying confounders are ...
3
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1answer
478 views

Does it make sense to 'deflate' a sectoral price index in a regression analysis?

For instance, if one is running a regression with deflated prices for a given year and one of the independent variables is a price index for a given sector, does it make any sense to 'deflate' this ...
3
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1answer
81 views

What are the meanings of “difference-in-differences” and “causal estimand”?

In one discussion, I saw the answer containing two words that I think can be used interchangeably, but I am not sure if it's the case. I simply state in other posts that the "generalized" **...
3
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1answer
360 views

VECM interpretation in Matlab?

After testing for cointegration with Johansen test using the following code [h,pValue,stat,cValue,mles] = jcitest(ret,'model','H1*','lags',4,'display','params') ...
2
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1answer
2k views

Is there any standard measure of economic significance?

One measure is to look at standard deviations. If a one standard deviation increase in X leads to a more than a 0.5 (or 1, or ⅓, or whatever) standard deviation increase in Y, then we say that X has a ...
2
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1answer
63 views

What metrics can be used to distinguish between capitalistic and socialistic economies?

What macroeconomic indicators are meaningful to distinguish whether a country leans towards socialism or capitalism (and where to find such data, specifically for european countries)?
2
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1answer
47 views

Heuristics with time series measured in dollars

Suppose the price indexes are adequately measured and there are no problems regarding the data in itself. By my experience, using a sector price index -- for the industry sector that you might be ...
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2answers
99 views

Proving the asymptotic normality of th Non-linear Least Squares estimator

Our model is $Y=X(\beta_0)+u$, where $u\sim IID(0,\sigma_0^2I)$, and $X(\beta)$ is a non-linear function of the beta. When trying to minimize the $SSR(\beta)$ we get the following FOC: $\nabla X(\...
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2answers
828 views

Question on Fama-French Three Factor model

I am currently taking an econometrics course, and the final assignment in that course is to write a research paper using econometric ideas. I have read Fama and French paper on the three-factor model ...
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2answers
1k views

Formula for the unconditional variance of the sum of observations from an autoregressive time series

I have notes that say that we can make the following calculations. I'm a little confused about some of the calculations that are being made. What assumptions would I need to get the following results? ...
0
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1answer
35 views

Limit of random walk auto correlation function

Given the random walk process $y_{t}=y_{t-1}+e_{t}$, the auto correlation function is given by $corr(y_{t}, y_{t-h})=(\frac{t-h}{t})^{1/2}=(1-\frac{h}{t})^{1/2}$, which tends to 0 as t tends to ...
0
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5answers
137 views

Which measure to check in analysis (p-values or $R^2$)?

In an analysis e.g. OLS regression which measure would you look at? $R^2$, $adjusted-R^2$ or $p-value$? How would you consider a regression with p-values >0.15 but with an $R^2$ of 40%? In general ...