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




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


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


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


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


Arithmetic average of all values


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


Portion of the elements of a population


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...

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

Copyright information

© Springer Science+Business Media LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringUniversity of BristolBristolUK

Section editors and affiliations

  • Suheil Khoury
    • 1
  1. 1.American University of SharjahSharjahUnited Arab Emirates