a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
2. statistics
a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed
Examples of 'characteristic function' in a sentence
characteristic function
Moreover, asymptotically tight bounds on the characteristic function are derived that give an exact tail behavior of the characteristic function.
Alex Dytso, Ronit Bustin, H. Vincent Poor, Shlomo Shamai 2018, 'Analytical properties of generalized Gaussian distributions', Journal of Statistical Distributions and Applicationshttp://link.springer.com/article/10.1186/s40488-018-0088-5. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The form of characteristic function has also been obtained by the method of projected distribution.
J. M. C. Joshi 1985, 'Random walk over a hypersphere', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171285000758. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also derive an approximation for the characteristic function of the model.
Wanwan Huang, Brian Ewald, Giray Ökten 2016, 'CAM Stochastic Volatility Model for Option Pricing', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2016/5496945. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The characteristic function of the folded normal distribution and its moment function are derived.
Michail Tsagris, Christina Beneki, Hossein Hassani 2014, 'On the Folded Normal Distribution', Mathematicshttp://www.mdpi.com/2227-7390/2/1/12. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We assume the operator characteristic function to be of completely regular growth.
Valentin V. Napalkov, Karina Zimens 2015, 'De la Vallee Poussin problem in the kernel of the convolution operator on the half-plane',Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-MatematičeskieNaukihttp://mi.mathnet.ru/eng/vsgtu1355. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Fail-safe mechanisms allow for compensation of perturbations to maintain the characteristic function of a pathway.
Julian Daniel Schwab, Lea Siegle, Silke Daniela Kühlwein, Michael Kühl, Hans ArminKestler 2017, 'Stability of Signaling Pathways during Aging—A Boolean Network Approach', Biologyhttps://www.mdpi.com/2079-7737/6/4/46. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The operating characteristic function values of the suggested sampling plans and the producer's risk are presented.
Amer Ibrahim Al-Omari 2018, 'Acceptance Sampling Plans Based on Truncated Life Tests for Sushila Distribution',Journal of Mathematical and Fundamental Scienceshttp://journals.itb.ac.id/index.php/jmfs/article/view/2436. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
He also obtained an expression for the characteristic function of a meromorphic function of integer order.
Mohammad Salmassi 1983, 'A note on an extension of Lindelöf's theorem to meromorphic functions', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171283000575. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We deduce the characteristic function in the form of a determinant of an n-by-n matrix.
Jozsef Z. Farkas 2006, 'On the linearized stability of age-structured multispecies populations', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/JAM/2006/60643. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)