Outline of statistics
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"Introduction to Statistics" redirects here. For the 2009 episode of the US TV series Community, see Introduction to Statistics (Community).
Overview of and topical guide to statistics
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The following outline is provided as an overview of and topical guide to statistics:
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
[edit ]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
[edit ]- History of statistics
- Founders of statistics
- History of probability
- Timeline of probability and statistics
Describing data
[edit ]- Descriptive statistics
- Average
- Measures of dispersion
- Correlation
- Polychoric correlation
- Outlier
- Statistical graphics
Experiments and surveys
[edit ]Sampling
[edit ]Analysing data
[edit ]- Regression analysis
- Survival analysis
- Density estimation
- Time series
- Multivariate analysis
- Robust statistics
- Statistical classification
- Cross-validation (statistics)
Filtering data
[edit ]Statistical inference
[edit ]- Statistical inference
- Mathematical statistics
- Bayesian inference
- Frequentist inference
- Decision theory
- Estimation theory
- Non-parametric statistics
- Statistical learning theory
Probability distributions
[edit ]- Probability distribution
- Conditional probability distribution
- Probability density function
- Cumulative distribution function
- Characteristic function
- List of probability distributions
Random variables
[edit ]Probability theory
[edit ]- Probability
- Conditional probability
- Law of large numbers
- Central limit theorem
- Concentration inequality
- Convergence of random variables
Computational statistics
[edit ]- 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
