cumulative distribution function in British English
noun
statistics
a function defined on the sample space of a distribution and taking as its value at each point the probability that the random variable has that value or less. The function F(x) = P(X≤x) where X is the random variable, which is the sum or integral of the probability density function of the distribution
Sometimes shortened to: distribution function
distribution function in American English
noun
Statistics(of any random variable)
the function that assigns to each number the probability that the random variable takes a value less than orequal to the given number
Word origin
[1905–10]This word is first recorded in the period 1905–10. Other words that entered Englishat around the same time include: persona, push-up, revolving door, scrounge, thiamine
Examples of 'distribution function' in a sentence
distribution function
The demands follow unknown probability distribution function.
Bouza Carlos N. 2003, 'Convergence of estimated optimal inventory levels in models with probabilistic demands',Yugoslav Journal of Operations Researchhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2003/0354-02430302217B.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The results showed that power-law distribution function performs much better than exponential-law distribution function in generating networks.
WenJun Zhang, Xin Li 2016, 'Generate networks with power-law and exponential-law distributed degrees: with applicationsin link prediction of tumor pathways', Network Pharmacologyhttp://www.iaees.org/publications/journals/np/articles/2016-1(1)/generate-networks-with-power-law-distributed-degrees.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A spatial distribution function for gob permeability was derived.
Wei Qin, Jialin Xu, Guozhong Hu 2015, 'Numerical Simulation of Abandoned Gob Methane Drainage through Surface Vertical Wells',PLOS ONE10.1371/journal.pone.0125963. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The belief masses are calculated using beta probability distribution function.
V. Ghasemi, A. Pouyan, M. Sharifi 2017, 'A Sensor-Based Scheme for Activity Recognition in Smart Homes using Dempster-ShaferTheory of Evidence', Journal of Artificial Intelligence and Data Mininghttp://jad.shahroodut.ac.ir/article_845_f1c38f8c1e98180d4b743e6ce887bf59.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A rainfall hyetogram was found using the beta distribution function.
Diana Egiazarova, Marina Kordzakhia, Andrzej Wałęga, Edyta Drożdżal, Marta Milczarek,Anna Radecka 2018, 'Application of polish experience in the implementation of the flood directive in Georgia– hydrological calculations', Acta Scientiarum Polonorum. Formatio Circumiectushttp://www.formatiocircumiectus.actapol.net/pub/16_3_89.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Firstly, the simplified dependent function and distribution function are defined.
Libo Xu, Xingsen Li, Chaoyi Pang, Yan Guo 2018, 'Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-CriteriaGroup Decision-Making Problems', Symmetryhttps://www.mdpi.com/2073-8994/10/11/640. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also find the cumulative distribution function (cdf) of the covered part of the path.
Moslem Noori, Sahar Movaghati, Masoud Ardakani 2010, 'Characterizing the Path Coverage of Random Wireless Sensor Networks', EURASIP Journal on Wireless Communications and Networkinghttp://dx.doi.org/10.1155/2010/716565. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The distribution of errors among sequences closely matched that predicted by a binomial distribution function.
Karen Dawson, Roger S. Thorpe, Anita Malhotra 2010, 'Estimating Genetic Variability in Non-Model Taxa: A General Procedure for DiscriminatingSequence Errors from Actual Variation', PLoS ONE10.1371/journal.pone.0015204. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)