# Encyclopedia of Social Network Analysis and Mining

2018 Edition
| Editors: Reda Alhajj, Jon Rokne

# Theory of Statistics: Basics and Fundamentals

• Isabella Gollini
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-7131-2_171

## Glossary

Bayesian

The school of statistics that is based on the degree of belief interpretation of probability

Estimator

Any procedure that provides estimates of the value of an unknown quantity

Inference

Body of statistical techniques that deal with the reliability of the estimate that we derive from a set of data

Likelihood

Function indicating how likely a particular population is to produce an observed sample

Linear model

Model specifying a linear relationship between a dependent variable and a set of independent variables

Mean

Arithmetic average of all values

Population

Large set of objects of a similar nature which is of interest

Sample

Portion of the elements of a population

## Introduction

Statistics is a branch of mathematics used to summarize, analyze, and interpret data. There are two main branches of statistics: descriptive and inferential. Descriptive statistics is used to say...

This is a preview of subscription content, log in to check access.

## References

1. Bayes T (1763) An essay towards solving a problem in the doctrine of chance. Philos Trans R Soc 53:370–418
2. Bernardo JM, Smith AFM (1994) Bayesian theory. Wiley, New York
3. Billingsley P (1995) Probability and measure, 3rd edn. Wiley, New York
4. Casella G, Berger R (2002) Statistical inference. Thomson Learning, Duxbury/Pacific Grove
5. Kolmogorov AN (1933) Grundbegriffe der Wahrschein-lichkeitsrechnung. Springer, Berlin
6. Lehmann EL (1951) A general concept of unbiasedness. Ann Math Stat 22(4):587–592
7. Lehmann EL, Casella G (1998) Theory of point estimation (Springer texts in statistics), 2nd edn. Springer, New York