Square ZLindley Distribution:Statistical Properties, Simulation and Applications in Sciences
Abstract views: 133
/ 
PDF downloads: 72
DOI:
https://doi.org/10.5281/zenodo.13926087Keywords:
ZLindley distribution, moments, reliability analysis, simulationAbstract
An extension of the current ZLindley distribution, the new one-parameter Square ZLindley distribution (SZLD) is presented in this paper. It is possible to utilise the suggested model with both left-symmetric and left-skewed data sets. The shape of the SZLD will be discussed. Additionally included are quantile functions, moment generation functions, mean lifespan functions, Rényi entropy, order statistics, and survival and hazard functions. To effectively convey the usefulness of the suggested distribution, statistical features like moments, modes, quantile functions, and moment generator functions are produced. Using the maximum likelihood estimation method, parameters were computed. A comprehensive simulation analysis is conducted to assess these suggested estimators' performance using MLE for various parameter values two real-world datasets are used to illustrate the applicability and flexibility of the newly suggested distribution. Additional statistical inferences on the SZLD are supplied by data fitting, simulation studies, and graphing, utilising R and Maple tools.
References
Azzalini, A., 1985. A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12(2): 171–178.
Al-aqtash, R., Lee, C., Famoye, F., 2014. Gumbel-Weibull Distribution:Properties and Applications. Journal of Modern Applied Statistical Methods, 13(2): 201–225.
Aarset, M.V., 1987. How to identify a bathtub hazard rate. IEEE Transactions on Reliability, 36(1): 106–108.
Benatmane, C., Zeghdoudi, H., Ezzebsa, A., Bouchahed, L., 2021. Note on quasi lindley distribution:Some remarks and corrections. Asian Journal of Probability and Statistics, 15(4):324–329.
Beghriche, A., Zeghdoudi, H., Raman, V., Chouia. S., 2022. New polynomial exponential distribution: properties and applications. Statistics in Transition New Series, 23(3): 95-112.
Bourguignon, M., Silva, R.B., Cordeiro, G.M., 2014. The Weibull- G Family of Probability Distributions. Journal of Data Science, 12(1): 53–68.
Chouia, S., Zeghdoudi, H., 2021. The XLindley Distribution: Properties and Application. Journal of Statistical Theory and Applications, 20(2): 318.
Ghitany, M.E., Al-mutairi, D.K., Balakrishnan, N., Al-enezi, L.J. 2013. Power Lindley distribution and associated inference. Computational Statistics & Data Analysis, 64: 20–33.
Eugene, N., Lee, C., Famoye, F., 2002. Beta-normal distribution and its applications. Communications in Statistics, 31(4): 497–512.
Finsterwalder, C.E. 1976. Collaborative study of an extension of the Mills et al method for the determination of pesticide residues in food. Journal of Analytical Chemistry, 59: 169-171.
Lindley, D.V., 1958. Fiducial distributions and bayes’ theorem. Journal of the Royal Statistical Society. Series B (Methodological): 102–107.
Shanker, R., Amanuel, A.G., 2013. A new quasilindley distribution. International Journal of Statistics and systems, 8(2):143–156.
Messaadia, H., Zeghdoudi, H., 2018. Zeghdoudi distribution and its applications. International Journal of Computing Science and Mathematics, 9(1): 58–65.
Meriem, B., Gemeay, A.M., Almetwally, E.M. Halim, Z., Alshawarbeh, E., Abdulrahman, El-Nedjar, S. Zeghdoudi, H. 2016. On gamma lindley distribution: Properties and simulations. Journal of Computational and Applied Mathematics, 298:167–174.
Raouf, A. Hussam, E., 2022. The Power XLindley Distribution: Statistical Inference, Fuzzy Reliability, and Covıd-19 Application. Journal of Function Spaces, 1–21
Murthy, D.N.P., Xie, M., Jiang, R., 2004. Weibull Models.
Shaw, W.T., Buckley, I.R.C., 2009. The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. RePEc:arx:papers:0901.0434: 1–8.
Shanker, R., Sharma, S., Shanker, R. 2013. Atwo-parameter lindley distribution formodelingwaiting and survival times data. Applied Mathematics, 4(2).
Sen, S., Maiti, S.S., Chandra, N. 2016. The xgamma distribution: Statistical properties and application, Journal of Modern Applied Statistical Methods, 15(1): 774–788.
Saaidia, N., Belhamra, T., Zeghdoudi, H., 2024. On ZLindley distribution: statistical properties and applications. Studies in Engineering and Exact Sciences, 5(1): 3078–3097.
Staudte, R.G., Sheather, S.J. 1990. Robust Estimation and Testing. Wiley.
Shanker, R., 2015. Shanker distribution and its applications. International Journal of Statistics and Applications, 5(6): 338–348.
Shanker, R. Mishra, A. 2013. A two-parameter lindley distribution. Statistics in Transition new series, 14(1): 45–56.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 The copyright of the published article belongs to its author.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The journal is licensed under a 