the sum or integral of all possible values of a random variable, or any given function of it, multiplied by the respective probabilities of the values of the variable. Symbol: E(X). E(X) is the mean of the distribution; E(X–c) = E(X)–c where c is a constant
Also called: mathematical expectation
mathematical expectation in American English
noun
1. Math
the product of the probability of the occurrence of an event and the value associated with the occurrence of a given event
2. Statistics
the summation or integration, over all values of a variate, of the product of the variate and its probability or its probability density
Also called: expectation, expected value
Word origin
[1830–40]This word is first recorded in the period 1830–40. Other words that entered Englishat around the same time include: ante, baby talk, format, grid, rococo
Examples of 'mathematical expectation' in a sentence
mathematical expectation
Demand can be described by mathematical expectation, mathematical expectation and standard deviation, probability distribution or as a random process.
Ivan S. Milojević, Rade V. Guberinić 2012, 'Stochastic model of forecasting spare parts demand', Vojnotehnički Glasnikhttp://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2012/0042-84691201216M.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Analytical expression for variance and mathematical expectation of average integral estimation are obtained.
Andrey Borisovich Nikolaev, Victor Yurevich Stroganov, Leonid Isaakovich Berner, PavelSergeevich Yakunin, Kirill Aleksandrovich Barinov 2017, 'RESEARCH OF EARLY STAGES OF MODELING', International Journal of Advanced Studieshttp://journal-s.org/index.php/ijas/article/view/9909. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Its parameters are expressed through the mathematical expectation and the standard sample set of meteorological observations.
Zolina Tat'yana Vladimirovna, Sadchikov Pavel Nikolaevich 2016, 'MODELING OF THE SNOW LOAD ON THE ROOFS OF INDUSTRIAL BUILDINGS', Vestnik MGSUhttp://vestnikmgsu.ru/index.php/archive/article/download/3316. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The mathematical expectation and dispersion of the number of population members are proposed as efficiency characteristics.
Ivanova S.A., Pavsky V.A., Poplavskaya M.A., Novoselova M.V. 2014, 'TUDYING THE BIOKINETICS OF PIGMENTED YEAST BY STOCHASTIC METHODS', Foods and Raw Materialshttp://jfrm.ru/?page=archive&jrn=3&article=3. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
For the random current in the regenerative braking mode the functions of mathematical expectation, dispersion and standard deviation arecalculated.
A. V. Nikitenko, M. O. Kostin 2014, 'STATISTIC, PROBABILISTIC, CORRELATION AND SPECTRAL ANALYSES OF REGENERATIVE BRAKINGCURRENT OF DC ELECTRIC ROLLING STOCK', Nauka ta Progres Transportuhttp://stp.diit.edu.ua/article/view/25818/23308. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The paper deals with a cost function given at finite horizon and containing the mathematical expectation of a terminal term.
Poznyak Alex S. 2002, 'Robust stochastic maximum principle: Complete proof and discussions', Mathematical Problems in Engineeringhttp://www.hindawi.net/access/get.aspx?journal=mpe&volume=8&pii=S1024123X02002065. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We developed the mathematical expectation of accuracy and used it as an indicator parameter to perform a gene-gene interaction study.
Guo-Bo Chen, Yi Xu, Hai-Ming Xu, Ming D. Li, Jun Zhu, Xiang-Yang Lou 2011, 'Practical and Theoretical Considerations in Study Design for Detecting Gene-Gene InteractionsUsing MDR and GMDR Approaches', PLoS ONE10.1371/journal.pone.0016981. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)