# Outline of 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.

## Contents

- 1 Nature of statistics
- 2 History of statistics
- 3 Describing data
- 4 Experiments and surveys
- 5 Analysing data
- 6 Filtering data
- 7 Statistical inference
- 8 Probability distributions
- 9 Random variables
- 10 Probability theory
- 11 Computational statistics
- 12 Statistics software
- 13 Statistics organizations
- 14 Statistics publications
- 15 Persons influential in the field of statistics
- 16 See also

## 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]

## Experiments and surveys[edit]

### Sampling[edit]

## Analysing data[edit]

## Filtering data[edit]

## Statistical inference[edit]

- Statistical inference
- Mathematical statistics
- Bayesian inference
- Frequentist inference
- Decision theory
- Estimation theory
- Non-parametric statistics

## 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]

## Computational statistics[edit]

## Statistics software[edit]

## Statistics organizations[edit]

## Statistics publications[edit]

- List of statistics journals
- List of important publications in statistics
- List of scientific journals in statistics