Statistics

Statistical Adjustment
A brief overview and complete understanding of statistical adjustment in economics.
Harmonic Mean
The harmonic mean of a set of numbers, commonly used in various economic and statistical analyses.
Index Number
Understanding index numbers as indicators showing the relative size of variables based on a chosen base value, typically representing averages or aggregates across sectors.
Range - Definition and Meaning
An examination of 'range' as an economic term including its background, historical context, and major frameworks.
Score Function
The gradient, or the vector of partial derivatives, of the log-likelihood function with respect to the parameters of the distribution.
bias of an estimator
Understanding the concept of the bias of an estimator in economics and statistics
R-squared
Detailed exploration of R-squared, also known as the coefficient of determination
Two-tailed Test
A comprehensive overview of the two-tailed test in the context of statistical hypothesis testing.
Best-Fit Line
A line on a scatter diagram representing the optimal relationship between two variables.
Decile: Definition and Meaning
A detailed examination of the concept of 'decile' in economic terms, including definitions, frameworks, and related analytical perspectives.
Logistic Distribution
A detailed overview of the logistic distribution in economics and statistics.
Meta-Analysis
Combining results from multiple studies addressing similar research hypotheses to produce an overall conclusion.
Partial Autocorrelation Function
A detailed examination of the partial autocorrelation function (PACF), explaining its meaning and significance in time series analysis.
Weak Convergence
An overview of weak convergence in the context of economics and statistics.
Asymptotic Distribution
A distribution used to approximate the true finite sample distribution of a random variable.
Consistent Estimator
An estimator that converges in probability to the true value of the estimated parameter.
Generalized Least Squares (GLS) Estimator
A comprehensive overview of the Generalized Least Squares (GLS) estimator, its historical context, major analytical frameworks, and related terms.
Geometric Mean
The geometric mean is a measure of central tendency calculated as the nth root of the product of n numbers.
Histogram
A graphical representation of frequencies or proportions of observations falling within specified categories or bins.
Interquartile Range
A measure of statistical dispersion of a variable, representing the range between the first and third quartiles.
Symmetrical Distribution
A detailed exploration of symmetrical distribution in economics and statistics.
Autocorrelation Coefficient
A metric evaluating the correlation between a variable and its lagged values in time series analysis.
Autocovariance
Covariance between a random variable and its lagged values in time series analysis
Autocovariance Function
A sequence of autocovariances of a covariance stationary time series process as a function of the lag length.
Bayes Theorem
A foundational relationship in probability theory that connects conditional probabilities with marginal probabilities.
Bayesian Inference
An approach to hypothesis testing that assesses which of two hypotheses, the null (H0) or the alternative (H1), is more likely to be correct, considering prior knowledge.
Bootstrap
A computer-intensive technique of re-sampling the data to obtain the sampling distribution of a statistic
Central Statistical Office
The UK government department responsible for publishing major UK statistical sources until its merger in 1996.
Coefficient of Determination
The proportion of sample variation in the dependent variable explained by the regression in a linear model.
Coefficient of Variation
Understanding the coefficient of variation as a measure that expresses the standard deviation of a set of data as a percentage of its mean.
Conditional Distribution
A comprehensive overview of the concept of conditional distribution in the context of economics, including definitions, major analytical frameworks, and case studies.
Contemporaneous Correlation
Understanding the concept of contemporaneous correlation and its significance in economics.
Convergence in Distribution
A detailed examination of the concept of convergence in distribution within economics and probability theory
Convergence in Probability
An overview of the concept of convergence in probability within the field of econometrics and statistics.
Correlation Coefficient
A comprehensive overview of the correlation coefficient as an economic term including its definition and applications.
Covariance
An exploration of the concept of covariance in economic data.
Covariance Matrix
Detailed analysis and definition of the covariance matrix in economics and statistics
Covariance Matrix
A comprehensive look at the definition, significance, and analytical frameworks associated with the covariance matrix in economics.
Covariance Stationary Process (Second-Order Stationary Process, Weakly Stationary Process)
Understanding the concept of covariance stationary process in time-series analysis, including its definition, historical development, and analytical frameworks in economics.
Critical Value
A key term in statistical hypothesis testing representing the value at which the null hypothesis is rejected at a given significance level.
Cumulative Distribution Function (CDF)
The concept of cumulative distribution function (CDF) in probability and its key properties.
Data Smoothing
Elimination of small-scale variation, or noise, from data to reveal important patterns.
Degrees of Freedom
Definition and analysis of the concept of degrees of freedom in economics and statistics
Discrete Distribution
An overview and analysis of discrete distributions in the context of discrete random variables
Discrete Random Variable
Understanding the definition and implications of a discrete random variable in economics.
Discrete Variable
A detailed description and analysis of the economic term 'discrete variable'.
Dummy Variable
Definition and meaning of dummy variable in economics, including its significance and application in various economic analyses.
Durbin-Watson Test
A statistical test for detecting the presence of first-order serial correlation in the error terms of a linear regression model.
Economic Indicators
A comprehensive overview of economic indicators, including definitions, analysis, and relevance in economic studies.
Efficient Estimator
An in-depth entry on the concept of efficient estimator in the field of statistics and econometrics.
Estimator
A rule for using observed sample data to calculate the unobserved value of a population parameter.
Expected Value
Expected value is the probability-weighted average outcome of a random variable.
Exponential Distribution
An overview of the exponential distribution, a special case of the gamma distribution, used in various statistical applications.
finite sample distribution
A distribution of a statistic across all possible samples of the same size drawn from the same population according to the same sampling procedure.
Frequency Table
A comprehensive examination of frequency tables used for summarizing data.
Gamma Distribution
A continuous distribution with a density function often used in statistics and applied sciences.
Gauss–Markov Theorem
A comprehensive overview of the Gauss–Markov Theorem, emphasizing its statistical and econometric significance.
General Lifestyle Survey
An in-depth overview of the General Lifestyle Survey (GLF), its history, components, and significance in UK socio-economic data collection.
General Linear Model
An in-depth exploration of the General Linear Model (GLM) in economics and statistics.
Geometric Distribution
A detailed examination of the geometric distribution in the field of economics and probability
Goodness of Fit Measures
Measures of adequacy of the estimated regression model, such as the coefficient of determination and the information criterion.
Growth Rate
The proportional or percentage rate of increase of any economic variable over a unit period, often applied to yearly intervals.
Harmonic Mean in Economics
A dictionary entry exploring the concept and applications of the harmonic mean in economics, including comparisons with arithmetic and geometric means.
Inlier
An observation in a data set that lies within the interior of a distribution but is in error
Interpolation
Inserting missing data in a sample, usually by calculating the prediction based on the available data.
Joint Probability Distribution
Understanding Joint Probability Distribution in the Context of Multiple Random Variables
Kurtosis
A measure of the 'humpedness' of a probability distribution compared to a normal distribution.
Law of Large Numbers
A statistical theorem stating that as the number of trials increases, the sample average will converge to the expected mean.
Least Squares
A method of estimation in econometric models minimizing the sum of squared differences.
Likelihood Function - Definition and Meaning
A comprehensive overview of the likelihood function in economics and statistics, detailing its interpretation, application, and significance.
Location-Scale Family of Distributions
Definition and meaning of the location-scale family of distributions, exploring its foundational concepts and applications in various economic frameworks.
Log-Normal Distribution
A specialized probability distribution of a random variable such that its logarithm is normally distributed, typically resulting from multiplicative effects.
Logit Model
A statistical model used for predicting the probability of a binary outcome.
Logit Model
A statistical model used for predicting the probability of a binary outcome.
Mean
Understanding the concept of the mean in economics and its implications
Mean
Exploring the concept of mean and its various forms in economics
Mean - Definition and Meaning
Exploring the concept of mean and its various forms in economics
Mean Reversion
Understanding the principle of mean reversion in economics and its applications.
Median
The median of the distribution of a random variable and its significance in statistical analysis.
Method of Moments Estimator
An estimator of the unknown parameters of a distribution obtained by solving equations equating moments of distribution to their sample counterparts.
Mode
The most frequent or most likely value in a dataset.
Moment Generating Function
Moment Generating Function (mgf) is utilized to calculate moments of the distribution of a random variable X.