Statistics

Acceptance Region
The set of test-statistic values for which a hypothesis test does not reject the null at a chosen significance level.
Acquisitions Approach
A CPI approach that records prices when households acquire goods and services rather than when they consume service flows over time.
Actuarial Assumption
A forecast about mortality, returns, expenses, or behavior used to price and value insurance and pension promises.
Actuary
A specialist who uses probability, statistics, and finance to value uncertain future cash flows and manage risk.
Adjusted R-Squared
A version of R-squared that penalizes models for adding predictors that do not improve fit enough.
Aggregate Data
Data created by combining many observations into totals, averages, shares, or rates for a group or economy.
Aitken Estimator
The generalized least squares estimator used when regression errors are correlated or have non-constant variance.
Almon Distributed Lag
A polynomial distributed-lag method that smooths lag coefficients and reduces parameter count in time-series regression.
Almost Sure Convergence
A strong form of probabilistic convergence in which a sequence converges for every outcome except on a set of probability zero.
Analysis of Variance
A statistical method for testing whether group means differ by comparing between-group variation with within-group variation.
Annual Population Survey
A large U.K. household survey used to estimate employment, unemployment, and related social and labor-market outcomes.
Annualized Growth Rate
A short-period growth rate converted into a one-year equivalent by assuming the same pace continues and compounds.
Arc Elasticity
An average elasticity measured between two points using the midpoint formula.
ARFIMA
An autoregressive fractionally integrated moving average model that captures long memory via fractional differencing.
Asymptotic Distribution
The limiting probability distribution that approximates how a statistic behaves in large samples.
Asymptotic Theory
The study of how estimators and test statistics behave as sample size becomes large.
Atkinson Index
An inequality measure based on equally distributed equivalent income, with an explicit parameter for inequality aversion.
Augmented Dickey-Fuller Test
A time-series test used to check whether a variable contains a unit root.
Autocorrelation
Correlation between a variable and its own lagged values in a time series.
Autocorrelation Coefficient
The correlation between a time series and a lagged version of itself.
Autocorrelation Function (ACF)
A sequence of correlations between a time series and its own lagged values, used to describe persistence and guide time-series modeling.
Autocovariance
Covariance between a time series and its own lagged values.
Autocovariance Function
The sequence of autocovariances of a stationary time series across different lags.
Automated Econometrics
The use of algorithms to assist with model specification, estimation, testing, and selection in econometric work.
Autoregressive Integrated Moving Average (ARIMA) Model
A time-series forecasting model that combines autoregression, differencing, and moving-average shocks.
Autoregressive Process
A time-series process in which current values depend on past values of the same series.
Balancing Item
A statistical adjustment used when two theoretically equal aggregates do not match in measured data.
Bandwidth (Nonparametric Estimation)
The smoothing window that controls how much neighboring data influence a nonparametric estimate.
Base Period
The reference period against which an index number is compared.
Base-Weighted Index
An index number that measures change using weights fixed in a chosen base period.
Baseline
A baseline is the reference case used to compare actual outcomes, policy changes, or alternative scenarios.
Bayes Theorem
Bayes theorem is the rule for updating probabilities after observing new evidence.
Bayesian Econometrics
Bayesian econometrics estimates economic models by combining prior beliefs with observed data to form posterior distributions.
Bayesian Inference
Bayesian inference updates probabilities or parameter beliefs by combining prior information with observed data.
Best Linear Unbiased Estimator
A best linear unbiased estimator is a linear unbiased estimator with the smallest variance among all linear unbiased estimators.
Best-Fit Line
A best-fit line is the line that summarizes the average linear relationship between two variables in a scatterplot.
Between-Groups Estimator
The between-groups estimator uses group averages in panel data to estimate how outcomes differ across entities rather than within each entity over time.
Bias of an Estimator
The bias of an estimator is the difference between its expected value and the true parameter it is trying to estimate.
Billion
A billion means one thousand million in modern economic and financial usage.
Bimodal Distribution
A bimodal distribution has two distinct peaks, often showing that one dataset actually combines two different groups.
Binary Choice Models
Binary choice models estimate the probability of a yes-or-no outcome such as working, defaulting, or buying.
Binomial Distribution
The binomial distribution gives the probability of getting a fixed number of successes in a fixed number of independent trials.
Biodiversity Index
A biodiversity index summarizes how many species are present and how evenly they are distributed in an ecosystem.
Blue Book
The Blue Book is the United Kingdom's main national-accounts publication, reporting GDP, income, expenditure, and related macroeconomic data.
Consumer Price Index
A price index tracking changes in the cost of a representative basket of consumer goods and services (a common inflation measure).
Continuous Distribution
A probability distribution defined over a continuum of values, described by a density function.
Covariance Matrix
A square matrix that collects variances and covariances across multiple variables (used in econometrics and portfolio risk).
Detrending
The process of separating long-run trend movements from short-run fluctuations in economic time series.
Dickey-Fuller
A unit-root test used to assess whether a time series is nonstationary (has a unit root) or mean-reverting.
Discrete Distribution
A probability distribution for variables that take countable values, represented by a probability mass function.
Generalized Method of Moments (GMM) Estimator
An econometric estimator that fits parameters by matching model-implied moments to sample moments.
Interpolation
Estimating unknown values between observed data points (for example filling missing values within a time series).
Logistic Distribution
A continuous probability distribution with an S-shaped cumulative function, widely used in econometrics.
Mean
The average value of a variable, commonly used to summarize data and connect samples to expectations.
Omitted Variable Bias
Why regression estimates become biased when a relevant explanatory variable is left out.
Paasche Price Index
A price index that uses current-period quantities as weights to compare current prices to base-period prices.
Standard Industrial Classification
A coding framework used to classify business activities for statistics, regulation, and economic analysis.