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Theory of Statistics, Basics, and Fundamentals

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Encyclopedia of Social Network Analysis and Mining
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Synonyms

Estimation theory; Probability distributions; Statistical inference; Statistical models

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...

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References

  • Bayes T (1763) An essay towards solving a problem in the doctrine of chance. Philos Trans R Soc 53:370–418

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  • Bernardo JM, Smith AFM (1994) Bayesian theory. Wiley, New York

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  • Billingsley P (1995) Probability and measure, 3rd edn. Wiley, New York

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  • Casella G, Berger R (2002) Statistical inference. Duxbury/Pacific Grove, Thomson Learning

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  • Kolmogorov AN (1933) Grundbegriffe der Wahrschein-lichkeitsrechnung. Springer, Berlin

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  • Lehmann EL (1951) A general concept of unbiasedness. Ann Math Stat 22(4): 587–592

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  • Lehmann EL, Casella G (1998) Theory of point estimation (Springer texts in statistics), 2nd edn. Springer, New York

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Gollini, I. (2014). Theory of Statistics, Basics, and Fundamentals. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6170-8_171

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