International Journal of Nonlinear Analysis and Applications
Estimation of multi-truncated rayleigh and Weibull distributions with application
Document Type : Research Paper
Authors
Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq
Abstract
In this paper, we introduced the estimation of parameters for distributions that have multi-double truncation by the maximum likelihood method. We depended in the applied study on data of disease of Covid-19 by using one double truncation. Some statistical data were analyzed and unknown parameters and were compared with some distribution.
Keywords
[1] K. Alhasan and K. Abad Al-Kadim, Multi-subintervals double truncated of rayleigh distribution, The Eighth Int.
Sci. Conf. Iraq Al-Khwarizmi Soc. AIP Conf. Proc. (2021).
[2] K. Alhasan and K. Abad Al-Kadim, Multi-double truncated of continuous distribution, 2nd ISCPS, AIP Conf.
Proc. (2021).
[3] H. Amal and A. Mohamed, A new family of upper truncated distributions: properties and estimation, THAIJO
18(2) (2020) 196–214.
[4] M.S. Ammar and Z. Mazen, Modified Weibull Distribution, Appl. Sci. 11 (2009) 123–136.
[5] S. Dey, T. Dey and D. Kundu, Two-parameter rayleigh distribution: different methods of estimation, Amer. J.
Math. Manag. Sci. 33(1) (2014).
[6] F. Galton, An examination into the registered speeds of american trotting horses, with remarks on their value as
hereditary data, Proc. R. Soc. Lond. 62(379-387) (1898) 310–315
[7] H. Iden and G. Shayma, Some estimators the parameter of Maxwell-Boltzmann distribution, Global Journal of
Pure and Applied Mathematics, 13(10) (2017) 7211–7227.
[8] A.S. Malik and S.P. Ahmad, Gamma Rayleigh Distribution: Properties and Application, In Bayesian Analysis
and Reliability Estimation of Generalized Probability Distributions, AIJR Publisher, 2019.
[9] E.A. Mohammad and S.F. Mohammad, [0,1] Truncated Fr´echet-Pareto distributions, IQJOSS 15(61) (2019) 229–
244.
[10] M.M. Mohie, M.M. Amein and A.M. Abd El-Raheem, On mid truncated distributions and its applications,
JARAM 5(2) (2013) 20–38.
[11] S. Sharma and A.J. Obaid, Mathematical modelling, analysis and design of fuzzy logic controller for the control
of ventilation systems using MATLAB fuzzy logic toolbox, J. Interdiscip. Math. 23(4) (2020) 843–849.
[12] O.A. Swar, Local dependence for bivariate Weibull distributions created by archimedean copula, Baghdad Sci. J.
18(1) (2021) 816–823.
[13] M.S. Tokmachev, Modeling of truncated probability distributions, IOP Conf. Ser. Mater. Sci. Eng. 441 (2018)
012056.
[14] L. Zaninetti and M. Ferraro, On the truncated Pareto distribution with applications, Cent. Eur. J. Phys. 6(1)
(2008) 1–6.
Sci. Conf. Iraq Al-Khwarizmi Soc. AIP Conf. Proc. (2021).
[2] K. Alhasan and K. Abad Al-Kadim, Multi-double truncated of continuous distribution, 2nd ISCPS, AIP Conf.
Proc. (2021).
[3] H. Amal and A. Mohamed, A new family of upper truncated distributions: properties and estimation, THAIJO
18(2) (2020) 196–214.
[4] M.S. Ammar and Z. Mazen, Modified Weibull Distribution, Appl. Sci. 11 (2009) 123–136.
[5] S. Dey, T. Dey and D. Kundu, Two-parameter rayleigh distribution: different methods of estimation, Amer. J.
Math. Manag. Sci. 33(1) (2014).
[6] F. Galton, An examination into the registered speeds of american trotting horses, with remarks on their value as
hereditary data, Proc. R. Soc. Lond. 62(379-387) (1898) 310–315
[7] H. Iden and G. Shayma, Some estimators the parameter of Maxwell-Boltzmann distribution, Global Journal of
Pure and Applied Mathematics, 13(10) (2017) 7211–7227.
[8] A.S. Malik and S.P. Ahmad, Gamma Rayleigh Distribution: Properties and Application, In Bayesian Analysis
and Reliability Estimation of Generalized Probability Distributions, AIJR Publisher, 2019.
[9] E.A. Mohammad and S.F. Mohammad, [0,1] Truncated Fr´echet-Pareto distributions, IQJOSS 15(61) (2019) 229–
244.
[10] M.M. Mohie, M.M. Amein and A.M. Abd El-Raheem, On mid truncated distributions and its applications,
JARAM 5(2) (2013) 20–38.
[11] S. Sharma and A.J. Obaid, Mathematical modelling, analysis and design of fuzzy logic controller for the control
of ventilation systems using MATLAB fuzzy logic toolbox, J. Interdiscip. Math. 23(4) (2020) 843–849.
[12] O.A. Swar, Local dependence for bivariate Weibull distributions created by archimedean copula, Baghdad Sci. J.
18(1) (2021) 816–823.
[13] M.S. Tokmachev, Modeling of truncated probability distributions, IOP Conf. Ser. Mater. Sci. Eng. 441 (2018)
012056.
[14] L. Zaninetti and M. Ferraro, On the truncated Pareto distribution with applications, Cent. Eur. J. Phys. 6(1)
(2008) 1–6.
)
Volume 13, Issue 1
March 2022Pages 3131-3140
- Receive Date: 11 September 2021
- Revise Date: 03 November 2021
- Accept Date: 21 December 2021