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Epanechnikov-exponential distribution: properties and applications Cover

Epanechnikov-exponential distribution: properties and applications

Open Access
|Mar 2022

References

  1. [1] M. Al-khazaleh, A. Al-Omari, A. M. Al-khazaleh, Transmuted Two-Parameter Lindley Distribution, Journal of Statistics Applications and Probability, vol. 5, no. 3, 2016, 1-11.10.18576/jsap/050306
  2. [2] A. I. Al-Omari, A. M. Al-khazaleh, L. M. AlZoubi, Transmuted Janardan Distribution: A Generalization of the Janardan Distribution, Journal of Statistics Applications and Probability, vol. 5, no. 2, 2017, 1-11.10.18576/jsap/060202
  3. [3] A. Al-Omari, M. Gharaibeh, Topp-leone mukherjee-islam distribution: properties and applications, Pakistan Journal of Statistics, vol. 34, no. 6, 2018, 479-494.
  4. [4] A. Al-Omari, A. M. Al-khazaleh, L. AlZoubi, A Generalization of the New-Weibull Pareto Distribution, Revista Investigacion Operacionl, vol. 41, no. 1, 2020, 138-146.
  5. [5] L. Al-Zoubi, Transmuted Mukherjee-Islam Distribution: A Generalization of Mukherjee-Islam Distribution, Journal of Mathematics Research, vol. 9, no. 4, 2017, 135-144.10.5539/jmr.v9n4p135
  6. [6] H. A. Alsikeek, Quadratic Transmutation Map for Reciprocal Distribution and Two-Tarameter Weighted Exponential Distribution, Masterś thesis, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan, 2018.
  7. [7] R. M. AzZwideen, Transmutation Maps for Gamma-Gompertz and Generalized Type-II Half-Logistics Distributions, Master thesis, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan, 2017.
  8. [8] P. Bloomfield, W. S. Steiger, Least Absolute Deviations: Theory, Applications and Algorithms, Birkhiiuser, Boston, 1983.10.1007/978-1-4684-8574-5
  9. [9] G. M. Cordeiro, R. D. S. Brito, The beta power distributions, Brazilian Journal of Probability and Statistics, vol. 26, no. 1, 2012, 88-112.10.1214/10-BJPS124
  10. [10] H. A. David, Order statistics, John Wiley and Sons, New York, 1981.
  11. [11] V. A. Epanechnikov, Non-parametric estimation of a multivariate probability density, Theory of Probability and Its Applications, vol. 14, 1969, 153-158.10.1137/1114019
  12. [12] R. A. Fisher, On an absolute criterion for fitting frequency curves, Statistical Sciences, vol. 12, no. 1, 1997, 39-41.
  13. [13] M. M. Gharaibeh, A. I. Al-Omari, Transmuted Ishita Distribution and its Applications, Journal of Statistical Applications and Probability, vol. 8, no. 2, 2019 1-14.10.18576/jsap/080201
  14. [14] A. C. Guidoum, Kernel estimator and bandwidth selection for density and its derivatives, kedd Package, version 1, 2015.
  15. [15] A. D. Herbert, H. N. Nagaraja, Order Statistics, 3rd Edition, Wiley Series in Probability and Statistics, 2003.
  16. [16] G. Jowett, The Exponential Distribution and Its Applications, The Incorporated Statistician, vol. 8, no. 2, 1958, 89-95.10.2307/2986561
  17. [17] A. M. Khazaleh, Transmuted burr type XII distribution: A generalization of the burr type XII distribution, International Mathematical Forum, vol. 11, no. 12, 2016, 547-556.10.12988/imf.2016.6443
  18. [18] E. T. Lee, Statistical Methods for Survival Data Analysis, 2nd Edition, John Wiley and Sons Ltd., New York, USA, 2003.10.1002/0471458546
  19. [19] R Development Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, 2020.
  20. [20] F. S. Rabaiah, Generalizations of Power Function and Type-I Half Logistic Distributions Using Quadratic Transmutation Map, Master thesis, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan, 2018.
  21. [21] M. W. A. Ramos, G. M. Cordeiro, P. R. D. Marinho, C. R. B. Dias, G. G. Hamedani, The Zografos-Balakrishnan log-logistic distribution: Properties and applications, J. Stat. Theory Applic., vol. 12, 2013, 225-244.10.2991/jsta.2013.12.3.2
  22. [22] R Core Team, A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria, URL http://www.R-project.org/, 2019.
  23. [23] A. Rényi, On measures of entropy and information, Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, 1961, 547-561.
  24. [24] E. Parzen, Quantile Probability and Statistical Data Modeling, Statistical Science, vol. 19, no. 4, 2004, 652-662.10.1214/088342304000000387
  25. [25] W. T. Shaw, I. R. Buckley, The alchemy of probability distributions: Beyond gram-charlier expansions and a skew-kurtotic-normal distribution from a rank transmutation map, Technical report, 2007.
  26. [26] N. Unnikrishnan Nair, P. G. Sankaran, N. Balakrishnan, Chapter 2 - Basic Reliability Concepts, Editors: N. Unnikrishnan Nair, P. G. Sankaran, N. Balakrishnan, Reliability Modelling and Analysis in Discrete Time, Academic Press, 2018, 43-106.10.1016/B978-0-12-801913-9.00002-6
  27. [27] S. Borovkova, Analysis of survival data, Nieuw Archief voor Wiskunde, vol. 5, no. 3, 2002, 302-307.
  28. [28] P. Sahoo, Probability and Mathematical Statistics, First Edition, University of Louisville, 2013.
  29. [29] https://mathforyou.net/en/online/equation/cubic/
  30. [30] P. J. Rousseeuw, C. Croux, Alternatives to the median absolute deviation, Journal of the American Statistical Association, vol. 88, no. 424, 1993, 1273–1283.10.1080/01621459.1993.10476408
  31. [31] M. Gharaibeh, Transmuted Aradhana distribution: Properties and applications, Jordan Journal of Mathematics and Statistics (JJMS), vol. 13, no. 2, 2020, 287-304.
  32. [32] Z. Zambom, R. Dias, A Review of Kernel Density Estimation with Applications to Econometrics, International Econometric Review (IER), Econometric Research Association, vol. 5, no. 1, 2013, 20-42.
DOI: https://doi.org/10.2478/gm-2021-0002 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 13 - 29
Submitted on: Sep 28, 2020
Accepted on: Nov 23, 2020
Published on: Mar 30, 2022
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Ahmad Alkhazaalh, Loai Al-Zoubi, published by Lucian Blaga University of Sibiu
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