Keywords and phrases: Wigner semicircle distribution, kernel density estimator, smoothing parameter, differential scanning calorimetry.
Received: May 5, 2022; Revised: June 15, 2022; Accepted: June 18, 2022; Published: June 29, 2022
How to cite this article: Samah M. Abo-El-Hadid, Univariate and bivariate nonparametric Wigner semicircle density estimators: simulation and application, Advances and Applications in Statistics 78 (2022), 105-121. http://dx.doi.org/10.17654/0972361722053
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] M. T. Chao and S. W. Cheng, Semicircle control chart for variables data, Quality Engineering 8(3) (1996), 441-446. [2] D. Chester, F. J. Taylor and M. Doyle, The Wigner distribution in speech processing applications, Journal of the Franklin Institute 318 (1984), 415-430. [3] D. Dragoman, Applications of the Wigner distribution function in signal processing, EURASIP Journal on Applied Signal Processing 10 (2005), 1520-1534. [4] V. A. Epanechnikov, Nonparametric estimation of multivariate probability density, Theory of Probability and its Application 14 (1969), 153-158. [5] M. E. Gorbunov, K. B. Lauritsen and S. S. Leroy, Application of Wigner distribution function for analysis of radio occultations, Radio Science 45 (2010), 1-11. [6] W. Härdle, M. Müller, S. Sperlich and A. Werwatz, Nonparametric and Semi-parametric Models: An Introduction, Springer-Verlag, New York, 2004. [7] A. H. Najmi, The Wigner distribution: A time-frequency analysis tool, Johns Hopkins APL Technical Digest 15 (1994), 298-305. [8] E. Parzen, On estimation of a probability density function and mode, The Annals of Mathematical Statistics 33 (1962), 1065-1076. [9] M. Rosenblatt, Remarks on some nonparametric estimates of density function, The Annals of Mathematical Statistics 27 (1956), 832-837. [10] J. S. Simonoff, Smoothing Methods in Statistics, Springer-Verlag, New York, 1996. [11] V. Todorov, S. Fidanova, I. Dimov and S. Poryazov, An optimized technique for Wigner kernel estimation, 16th Conference on Computer Science and Intelligence Systems, 2021, pp. 235-238. [12] Y. Van Nuland, ISO 9002 and the circle technique, Quality Engineering 5(2) (1992-93), 269-291. [13] M. P. Wand and M. C. Johnes, Kernel Smoothing, Chapman and Hall, London, 1995. [14] E. Wigner, On the quantum correction for thermodynamic equilibrium, Physical Review 40 (1932), 749-759.
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