Questions tagged [statistics]

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data. For data requests, use the [data-request] tag instead, or consider our sister site Open Data Stack Exchange.

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24 views

How to find the probability that the sample variance (given in the question below) is this low/lower when given the true population variance?

I'm not sure how to answer the question below. I have gone through worked examples and I have the answer for this question as well. However, the answer doesn't really provide any working. There are ...
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53 views

Utility of both players in St. Petersbourg paradox - behavioural economics

Im reading a paper by Karl Menger [1] about the St. Peterbourg paradox : In the theory of probability, the "Petersburg Game" designates the follow- ing gamei between two persons, A and B. ...
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42 views

Computing an Exponential Moving Average

According to the Wikipedia page on moving averages, "This is also why sometimes an EMA is referred to as an $N$-day EMA. Despite the name suggesting there are $N$ periods, the terminology only ...
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1answer
27 views

How to determine ADF test criterion?

I tried ADF test and there are 3 criterions. intercept intercept and trend none I usually decide the criterion after looking at the graph. (For example, if the data is around 0 then choose intercept,...
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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 ...
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1answer
19 views

Unemployment data - registered unemployed > ILO defined unemplyment

I have noticed that in Poland the rate of registered unemployed is higher than the "unemployement" rate. Here are the stats from the Polish regime (by month): Source: https://stat.gov.pl/en/...
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1answer
34 views

full rank left annihilator matrix

Suppose I have a matrix A= g=[Vfc/(x1Cdc),x4/(x1Cdc),-x3/Cdc;0 0 0;0 0 x1/Lcpl;0 -1/Cb 0] and I want to find the full rank left annihilator matrix B such that B*A=0. I am using MATLAB.
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1answer
94 views

What's the highest percentage of output any country spent on its military?

I was surprised that in 1941: American military spending accounted for 2 per cent of it's national output. Compared to Japan's 70 per cent. 70% seems incredibly high, especially given people still ...
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1answer
20 views

What are the values in brackets under the estimators value representing?

Please, can you explain me what are these values in red circles representing?
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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}...
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1answer
26 views

Filling gap in data with correlated series

I have two time series, of different length. A time series is GDP growth. The gdp growth is the series I need, and it is also the longer series, but it has two gaps in two periods one after the other. ...
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Statistics on Mexican illicit drug exports by country?

Estimates of the size of the total Mexican illicit drug export markets are somewhere around USD 200-650 billion per annum, depending on the source: \$426-652 billion per year \$500 billion \$200-300 ...
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773 views

Where can I find lorenz curve of countries?

I have been able to find values of Gini coefficient but have not been able to find their corresponding lorenz curves.
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33 views

Need Clarification of Terms: Innovation v.s. Disturbance

I have been reading some econometrics paper and came across terms "innovation" and "disturbance" of regression models. Can someone please explain to me what they are? I have ...
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Theoretical equivalence, experimental distinction between GDI and GDP

Forgive me if this is a naïve or redundant question, I'm about 24h into my study of economics--but I've been trying to research this question and can't figure it out. Why does the national spending ...
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2answers
77 views

Is there any restriction for numerator of variance calculation for population?

When reading things relating to the degree of freedom, I face this document. In this document, there is one part: Standard deviation in a population is: I understand that when we estimate the ...
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In economics, what variables do we usually assume to follow an exponential distribution?

In economics, what variables do we usually assume to follow an exponential distribution? I would like as many examples as possible, and it would be great if you have a rationale(economic reason or ...
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57 views

Precision of language regarding "statistical significance" in Wooldridge's *Introductory Econometrics* (7th ed)

I've been reading Jeffrey Wooldridge's textbook Introductory Econometrics: A Modern Approach (7th edition) in preparation for a class I will be teaching. I've appreciated the precise language he uses, ...
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18 views

Beginner's Guide to Econometrics [duplicate]

I was wondering if you could guide me to a book that I can use as a starting point for preparing myself for graduate level econometrics. I will be applying for MA programs this fall and wanted a head ...
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12 views

what is 'mid-year estimate' in following chart?

If it is mid-year population then, why it is so less in comparison to 'total population'
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1answer
58 views

Confusion about the jack-knife

Suppose that I am trying to use the jack-knife to estimate the variance of some estimator $E$. If I have $n$ data points, I begin by computing $n$ estimates (call them $B_1$, ..., $B_n$), each ...
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73 views

Event Study - Definition of Estimation Window (Trading Days vs Non-Trading Days)

I am currently conducting a event study for my research project on M&A. I have all data available and want to use https://www.eventstudytools.com/. But there is one clear which is not apparent to ...
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80 views

Importance of Combinatorics

I would like to know how important combinatorics is. I am an undergraduate student looking to take more math courses and I saw and intro to combinatorics as an option. The reason I am asking is ...
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Question on the choice of boundary in the CUSUM test when we make some resampling

Question on the choice of boundary in the CUSUM test when we make some resampling We are considering to make a CUSUM test for some economical time series $𝑋=(𝑥_1,..,x_n)$. Suppose 𝑋 contains many ...
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28 views

Expected value of order statistics for uniform distribution

I have $X$ ~ $U(0,1)$ interval. Let n=2, i.e. $X_1 < X_2$ I have to calculate the expected value of ${X_2}^{m/(1-m)}$. Where, $0≤m≤1$ I want to confirm if I have calculated it correctly? $$\int_0^1 ...
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Maximum of conditional expectation

I have a statistics question for the insider problem in the Kyle (1985) model: How does one go from $\max\limits_{X} E[(v-\bar{v}-\lambda(X+u))X|v]$ to $\max\limits_{X} (v-\bar{v}-\lambda X)X$ ?
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69 views

Difference-inDifference model with Discontinued Treatment

I have a situation where I observe two groups A and B for three years. Group A never received any treatment. Whereas group B received treatment in year 2 only. I can estimate the impact of the ...
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18 views

Is more opium produced legally or illegally?

I've had a hard time finding statistics on legal and illegal opium poppy production. At the UNODC we find facts like: global [illicit] opium production fell by almost 30%, to less than 5,000 tons in ...
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60 views

Joint significance test in a difference-in-differences setting

I ran the following difference-in-differences regression in software and have some questions about the interpretation of the resulting coefficients and their (joint) significance: $$ P_{it} = \gamma_i ...
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21 views

rebasing an index with inconsistent ratios between old and new data points?

I have a question about rebasing indices, hoping someone might be able to help. I'm working with two sets of index data for residential property prices from the Australian Bureau of Statistics. the ...
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1answer
67 views

How to interpret fixed effects?

I want to interpret the output of a fixed effects regression and need help with interpreting the country-fixed effects. The regression is the following: ...
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1answer
154 views

Does random sampling cause zero conditional mean?

In the lecture notes of my development economics class, it says that " In the regression model : Yi = β0 + β1Xi + ui, if Xi is randomly assigned, then Xi is independent of ui, i.e., E(ui|Xi) = 0, ...
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86 views

How can anyone possibly predict how the price of anything (stocks, Bitcoin, fiat, etc.) will change without "insider knowledge"? [closed]

Other than the fact that all centralized (and thus "quick") exchanges require KYC/AML nonsense, making it impossible for me to have an account there, I've never dared to even try once to &...
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1answer
33 views

Advice on method for analyzing the effects of increase in minimum wage

As a hobbyist and generally curious person with a lot of free time at home, I was curious what would be a good method to analyze the effect of an increase in the minimum wage of a country if you only ...
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1answer
39 views

Help interpreting standard deviation

I am looking at the 1979 cohort of the National Longitudinal Survey of Youth from the BLS. See here : https://www.bls.gov/nls/nlsy79.htm I am just having some trouble interpreting the values for ...
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1answer
50 views

Why N>T is required on system GMM estimations?

My question is why N>T is required when working with dynamic panel estimations based on system GMM, such as xtdpdsys at stata. Is that based on the potential lost of information due to orthogonal ...
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1answer
63 views

Why do we need at least as many instrumental variables as endogenous regressors to identify parameters in 2SLS?

As the title says. Why do we need at least as many instrumental variables as endogenous regressors to identify parameters?
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13 views

Is unobserved heterogenity in mixed logit models variable specific?

I have a mixed logit model with travel cost, travel time, and mode constants. If I only randomize travel cost and keep fixed coefficients for travel time and mode constants, will the model capture ...
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29 views

Use MLE to calculate exponential distribution parameter

The question is from A Guide to Econometrics by Peter Kennedy (5th edition, page 504.) Suppose you have a random sample of workers, from several localities, who have recently suffered, or are ...
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1answer
77 views

Interpolation of Gini Index?

Is there a conventional curve used to interpolate the Lorenz curves that model the distribution for calculating the Gini coefficient? Is it polynomial? But why? Which degree?
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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 ...
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1answer
61 views

How does explanatory variables in variance affect unconditional variance of GARCH(1,1)

I have a question about the unconditional variance of a GARCH process, where exogenous explanatory variables are included in the variance. The usual GARCH models the variance using: $$\sigma^2_t=\...
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20 views

World Bank and OECD statistics unmatch tax revenue as % of GDP

I have been looking for statistics on tax revenue to GDP ratio of different countries. I've found it on World Bank website. https://data.worldbank.org/indicator/GC.TAX.TOTL.GD.ZS?view=chart which ...
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1answer
34 views

Which values to assign to a quantified dummy variable

I am working on a data set from kaggle (https://www.kaggle.com/spscientist/students-performance-in-exams) about how student performance relates to some explanatory variables, such as if the school ...
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1answer
159 views

Show that conditional variance of error in linear probability model is heteroskedastic?

I have a problem that asks me the following: " Consider the linear probability model, in which we specify the regression equation to be linear in X, E(Y |X = x) = Pr(Y = 1|X = x) = x'β We can ...
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Are there any measures of U-6 Unemployment that take into account ageing out of the work force explicitly?

Labor Force Participation has been steadily decreasing over the last 20 years or so. The Fed says that this has been the case mostly due to the demographic shifts, and to an extent the data backs that ...
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2answers
94 views

How to find $\phi$, that denotes the correlation of signals among informed traders?

Since I do not have an answer on Quantitative Finance in my question I cross-post here the problem to tag some other categories The following assumptions are part of the paper of Back, Chao and ...
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2answers
121 views

How to average CDFs of one variable across years

I have wealth-to-income data for 10 years. I computed the cdf of this variable in each year. Now I'm trying to average the cdfs across years. In each each, the number of observations is different. ...
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24 views

Intuitive/Practical meaning of non-stationarity of GDP Data

As i just read in a time series book that a particular GDP data under consideration is non-stationary verified through various tests. From non-stationarity definition this means that the process has ...
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3answers
141 views

What is the correct way of calculating the "average" price based on the "Open,High,Low,Close" daily trade fields?

Open,High,Low,Close I have these fields, representing the "opening" amount, the highest for the day, the lowest for the day, and what it closed at. I'm trying to determine the "average&...

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