Applications of Dirac's delta function in statistics

@article{Khuri2004ApplicationsOD,
  title={Applications of Dirac's delta function in statistics},
  author={A. Khuri},
  journal={International Journal of Mathematical Education in Science and Technology},
  year={2004},
  volume={35},
  pages={185 - 195}
}
  • A. Khuri
  • Published 2004
  • Mathematics
  • International Journal of Mathematical Education in Science and Technology
  • The Dirac delta function has been used successfully in mathematical physics for many years. The purpose of this article is to bring attention to several useful applications of this function in mathematical statistics. Some of these applications include a unified representation of the distribution of a function (or functions) of one or several random variables, which may be discrete or continuous, a proof of a well-known inequality, and a representation of a density function in terms of its… CONTINUE READING
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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 17 REFERENCES
    Generalized Functions: Theory and Technique
    • 300
    Probability Theory I
    • 6,112
    • PDF
    Advanced Calculus With Applications In Statistics
    • 93
    • Highly Influential
    Advanced Calculus
    • 848
    • PDF
    Generalized Functions Theory and Technique, 2nd edn (Boston, MA: Birkhäuser)
    • 1998
    The Principles of Quantum Mechanics (London
    • 1958
    Distributions in the physical and engineering sciences
    • 86
    • Highly Influential
    Probability Theory and Mathematical Statistics, 3rd edn (New York: Wiley)
    • 1963