Advanced search
Publication Cover
International Journal of Mathematical Education in Science and Technology Volume 35, 2004 - Issue 2
Submit an article Journal homepage
1,178
Views
38
CrossRef citations to date
0
Altmetric
Original Articles

Applications of Dirac's delta function in statistics

André I. Khuri Department of Statistics, Griffin-Floyd Hall, P.O. Box 118545, University of Florida, Gainesville, Florida 32611-8545, USA E-mail: [email protected]
Pages 185-195 | Received 26 Feb 2003, Published online: 02 Sep 2006

Citations (38)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Norou Diawara, S.H. Sathish Indika & EdgardM. Maboudou-Tchao. (2013) The Distribution of the Sum of Independent Product of Bernoulli and Exponential. American Journal of Mathematical and Management Sciences 32:1, pages 75-89.
Read now
Norou Diawara & Mark Carpenter. (2010) Mixture of Bivariate Exponential Distributions. Communications in Statistics - Theory and Methods 39:15, pages 2711-2720.
Read now
Mark Carpenter, Norou Diawara & Yi Han. (2006) A New Class of Bivariate Survival and Reliability Models. American Journal of Mathematical and Management Sciences 26:1-2, pages 163-184.
Read now

Articles from other publishers (35)

Zhenhai Wang & Xudong Wang. (2024) Landscapes of random diffusivity processes in harmonic potential. Physica A: Statistical Mechanics and its Applications 633, pages 129433.
Crossref
Daniele Venturi & Xiantao Li. (2023) The Mori–Zwanzig formulation of deep learning. Research in the Mathematical Sciences 10:2.
Crossref
Bangyao Zhao & Lili Zhao. (2023) Mining adverse events in large frequency tables with ontology, with an application to the vaccine adverse event reporting system. Statistics in Medicine 42:10, pages 1512-1524.
Crossref
Peng Shu, Zhen Yang & Ya-zhong Luo. (2023) Impact Risk of a Debris Cloud to Spacecraft. Journal of Guidance, Control, and Dynamics 46:5, pages 989-997.
Crossref
Qiangqiang Li, Zhiyong Chen & Wenku Shi. (2023) A Novel State Estimation Approach for Suspension System with Time-Varying and Unknown Noise Covariance. Actuators 12:2, pages 70.
Crossref
Muneya Matsui. (2023) Subexponentialiy of densities of infinitely divisible distributions. Electronic Journal of Probability 28:none.
Crossref
Oren Fivel, Moshe Klein & Oded Maimon. 2023. Machine Learning for Data Science Handbook. Machine Learning for Data Science Handbook 143 170 .
Jiannan Yang, Robin S. Langley & Luis Andrade. (2022) Digital twins for design in the presence of uncertainties. Mechanical Systems and Signal Processing 179, pages 109338.
Crossref
Shi-Yong Yu & Cheng Zhu. (2022) Inverse modeling of lichen growth curves and implications for lichenometric dating. Quaternary Geochronology 69, pages 101257.
Crossref
Zifeng Huang & Yong Xia. (2022) Probability distribution estimation for harmonisable loads and responses of linear elastic structures. Probabilistic Engineering Mechanics 68, pages 103258.
Crossref
Oren Fivel, Moshe Klein & Oded Maimon. (2022) Decision Trees with Soft Numbers. International Journal of Circuits, Systems and Signal Processing 15, pages 1803-1816.
Crossref
Alessio Zaccone. (2022) Explicit Analytical Solution for Random Close Packing in and . Physical Review Letters 128:2.
Crossref
E. Mosayebi Omshi & A. Grall. (2021) Replacement and imperfect repair of deteriorating system: Study of a CBM policy and impact of repair efficiency. Reliability Engineering & System Safety 215, pages 107905.
Crossref
Oliver J. Maclaren, Ruanui Nicholson, Elvar K. Bjarkason, John P. O'Sullivan & Michael J. O'Sullivan. (2020) Incorporating Posterior‐Informed Approximation Errors Into a Hierarchical Framework to Facilitate Out‐of‐the‐Box MCMC Sampling for Geothermal Inverse Problems and Uncertainty Quantification. Water Resources Research 56:1.
Crossref
Xueqian Wang, Gang Li, Chen Quan & Pramod K. Varshney. (2019) Distributed Detection of Sparse Stochastic Signals With Quantized Measurements: The Generalized Gaussian Case. IEEE Transactions on Signal Processing 67:18, pages 4886-4898.
Crossref
Catherine Brennan & Daniele Venturi. (2018) Data-driven closures for stochastic dynamical systems. Journal of Computational Physics 372, pages 281-298.
Crossref
M V Berry. (2018) Pumping a swing revisited: minimal model for parametric resonance via matrix products. European Journal of Physics 39:5, pages 055007.
Crossref
Daniele Venturi. (2018) The numerical approximation of nonlinear functionals and functional differential equations. Physics Reports 732, pages 1-102.
Crossref
Sedat Tardu & Frédéric Bauer. (2017) Fine structure of the production in low to medium Reynolds number wall turbulence. Computers & Fluids 148, pages 82-102.
Crossref
Daniele Venturi, Heyrim Cho & George Em Karniadakis. 2017. Handbook of Uncertainty Quantification. Handbook of Uncertainty Quantification 1037 1073 .
R.A. Zait, A.A. El-Shekhipy & N.M. Abdo. (2016) Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method. Journal of the Egyptian Mathematical Society 24:3, pages 437-448.
Crossref
Daniele Venturi, Heyrim Cho & George Em Karniadakis. 2016. Handbook of Uncertainty Quantification. Handbook of Uncertainty Quantification 1 36 .
Daniele Venturi, Heyrim Cho & George Em Karniadakis. 2016. Handbook of Uncertainty Quantification. Handbook of Uncertainty Quantification 1 36 .
Heyrim Cho, Daniele Venturi & George E Karniadakis. (2014) Statistical analysis and simulation of random shocks in stochastic Burgers equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470:2171, pages 20140080.
Crossref
R. M. Weisman, M. Majji & K. T. Alfriend. (2014) Analytic characterization of measurement uncertainty and initial orbit determination on orbital element representations. Celestial Mechanics and Dynamical Astronomy 118:2, pages 165-195.
Crossref
David Yoo & Ikjin Lee. (2013) Sampling-based approach for design optimization in the presence of interval variables. Structural and Multidisciplinary Optimization 49:2, pages 253-266.
Crossref
Jason Ng, Catherine S. Forbes, Gael M. Martin & Brendan P.M. McCabe. (2013) Non-parametric estimation of forecast distributions in non-Gaussian, non-linear state space models. International Journal of Forecasting 29:3, pages 411-430.
Crossref
H. Cho, D. Venturi & G. E. Karniadakis. (2013) Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations. SIAM Journal on Scientific Computing 35:4, pages B890-B911.
Crossref
D. Venturi & G.E. Karniadakis. (2012) New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs. Journal of Computational Physics 231:21, pages 7450-7474.
Crossref
D. Venturi, T. P. Sapsis, H. Cho & G. E. Karniadakis. (2011) A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468:2139, pages 759-783.
Crossref
Prakash P. Shenoy & James C. West. (2011) Extended Shenoy–Shafer architecture for inference in hybrid bayesian networks with deterministic conditionals. International Journal of Approximate Reasoning 52:6, pages 805-818.
Crossref
Prakash P. Shenoy & James C. West. (2011) Inference in hybrid Bayesian networks using mixtures of polynomials. International Journal of Approximate Reasoning 52:5, pages 641-657.
Crossref
Esma Nur Cinicioglu & Prakash P. Shenoy. (2009) Arc reversals in hybrid Bayesian networks with deterministic variables. International Journal of Approximate Reasoning 50:5, pages 763-777.
Crossref
Prakash P. Shenoy & James C. West. 2009. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 46 58 .
Dmitriy Nuriyev. (2009) Non-Homogeneous Multivariate Integrable HMM. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.