Outline of statistics
The following outline is provided as an overview of and topical guide to statistics:
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Statistics is a field of inquiry that studies the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities; it is also used and misused for making informed decisions in all areas of business and government.
Nature of statistics
Statistics can be described as all of the following:
- An academic discipline: one with academic departments, curricula and degrees; national and international societies; and specialized journals.
- A scientific field (a branch of science) – widely recognized category of specialized expertise within science, and typically embodies its own terminology and nomenclature. Such a field will usually be represented by one or more scientific journals, where peer reviewed research is published.
- A formal science – branch of knowledge concerned with formal systems.
- A mathematical science – field of science that is primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of political arithmetic which merged with inverse probability and grew through applications in the social sciences and some areas of physics and biometrics to become its own separate, though closely allied, field.
History of statistics
- History of statistics
- Founders of statistics
- History of probability
- Timeline of probability and statistics
Describing data
Experiments and surveys
Analysing data
- Regression analysis
- Outline of regression analysis
- Analysis of variance (ANOVA)
- General linear model
- Generalized linear model
- Generalized least squares
- Mixed model
- Elastic net regularization
- Ridge regression
- Lasso (statistics)
- Survival analysis
- Density estimation
- Time series
- Time series analysis
- Box–Jenkins method
- Frequency domain
- Time domain
- Multivariate analysis
- Robust statistics
- Statistical classification
- Metric learning
- Generative model
- Discriminative model
- Online machine learning
- Cross-validation (statistics)
Filtering data
Statistical inference
Probability distributions
Random variables
- Random variable
- Central moment
- L-moment
- Algebra of random variables
Probability theory
- Probability
- Conditional probability
- Law of large numbers
- Central limit theorem
- Concentration inequality
- Convergence of random variables
Computational statistics
- Computational statistics
- Markov chain Monte Carlo
- Bootstrapping (statistics)
- Jackknife resampling
- Integrated nested Laplace approximations
- Nested sampling algorithm
- Metropolis–Hastings algorithm
- Importance sampling
- Mathematical optimization
- Convex optimization
- Linear programming
- Linear matrix inequality
- Quadratic programming
- Quadratically constrained quadratic program
- Second-order cone programming
- Semidefinite programming
- Newton-Raphson
- Gradient descent
- Conjugate gradient method
- Mirror descent
- Proximal gradient method
- Geometric programming
Statistics software
- Free statistical software
- List of statistical packages
Statistics organizations
- List of academic statistical associations
- List of national and international statistical services
Statistics publications
- List of statistics journals
- List of important publications in statistics
Persons influential in the field of statistics
- List of statisticians
See also
- Combinatorics
- Glossary of probability and statistics
- Index of statistics articles
- List of fields of application of statistics
- List of graphical methods
- Lists of statistics topics
- Monte Carlo method
- Notation in probability and statistics
- Outline of probability
- Philosophy of statistics
- Simulation
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