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Closeness of Lindley distribution to an exponential distribution with the presence of outliers | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 15، دوره 16، شماره 7، مهر 2025، صفحه 185-193 اصل مقاله (398.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.22886.2429 | ||
| نویسندگان | ||
| Parviz Nasiri1؛ Mehdi Jabbari Nooghabi* 2 | ||
| 1Department of Statistics, Payame Noor University of Tehran, Tehran-Iran | ||
| 2Department of Statistics, Ferdowsi University of Mashhad, Mashhad-Iran | ||
| تاریخ دریافت: 21 اسفند 1399، تاریخ بازنگری: 27 مرداد 1402، تاریخ پذیرش: 24 مهر 1402 | ||
| چکیده | ||
| The problem of distinguishing between distributions is always important. It becomes more complicated when data is contaminated by outliers. Here, we use two well-known Lindley and exponential distributions infected by outliers. The closeness of the Lindley distribution in comparison with the exponential distribution with outliers is discussed in this research. Three ways such as likelihood ratio, asymptotic likelihood ratio tests and minimum Kolmogorov distance are used to select the proper fitted model for a real data set. We perform Monte Carlo simulation to obtain the probability of correct selection for various values of sample sizes and parameters based on the best criteria in the distributions. In general, it has been seen that the Lindley distribution is closer to exponential distribution contaminated by outliers based on the likelihood ratio and Kolmogorov criteria. An actual example of real data is used to see the behaviour of the distributions. | ||
| کلیدواژهها | ||
| Lindley distribution؛ Exponential distribution؛ Outliers؛ Likelihood ratio test؛ Kolmogorov distance؛ Probability of correct selection؛ Monte Carlo simulation | ||
| مراجع | ||
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[1] S. Ali, M. Aslam, and S.M.A. Kazmi, A study of the effect of the loss function on Bayes estimate, posterior risk and hazard function for Lindley distribution, Appl. Math. Model. 37 (2013), no. 8, 6068–6078. [2] D.K. Al-Mutairi, M.E. Ghitany, and D. Kundu, Inferences on stress-strength reliability from Lindley distributions, Commun. Statist. Theory Meth. 42 (2013), no. 8, 1443–1463. [3] A. Asgharzadeh, S. Nadarjah, and F. Sharafi, Generalized inverse Lindley distribution with application to Danish fire insurance data, Communications in Statistics–Theory and Methods 46 (2017), no. 10, 5001–5021. [4] U.J. Dixit, K.L. Moore, and V. Barnett, On the estimation of the power of the scale parameter of the exponential distribution in the presence of outlier generated from uniform distribution, Metron 54 (1996), 210–211. [5] U.J. Dixit and P.F. Nasiri, Estimation parameter of the exponential distribution in the presence of outlier generated from uniform distribution, Metron 49 (2001), 187–198. [6] U.J. Dixit and M. Jabbari Nooghabi, Efficient estimation in the Pareto distribution with the presence of outliers, Statist. Method. 8 (2011), no. 4, 340–355. [7] P.K. Gupta and B. Singh, Parameter estimation of Lindley distribution with hybrid censored data, Int. J. Syst. Assur. Engin. Manag. 4 (2013), no. 4, 378–385. [8] H. Krishna and K. Kumar, Reliability estimation in Lindley distribution with progressively type II right censored sample, Math. Comput. Simul. 82 (2011), no. 2, 281–294. [9] J. Mazucheli and J.A. Achcar, The Lindley distribution applied to competing risks lifetime data, Comput. Meth. Prog. Biomed. 104 (2011), no. 2, 188–192. [10] S. Nadarajah, H.S. Bakouch, and R. Tahmasbi, A generalized Lindley distribution, Sankhya B 73 (2011), no. 2, 331–359. [11] S. Nedjar and H. Zeghdoudi, On gamma Lindley distribution: properties and simulations, J. Comput. Appl. Math. 298 (2016), 167–174. [12] W. Nelson, Applied Life Data Analysis, Wiley, New York, 1982. [13] M. Okwuokenye and K.E. Peace, A comparison of inverse transform and composition methods of data simulation from the Lindley distribution, Commun. Statist. Appl. Meth. 23 (2016), no. 6, 517–529. [14] M.Z. Raqab, A. Al-Reem, and K. Al-Dhaifallah, Closeness of Linley distribution to Weibull and Gamma distributions, Commun. Statist. Appl. Meth. 24 (2017), no. 2, 129–142. [15] H. White, Regularity conditions for Cox’s test of non-nested hypotheses, J. Econ. 19 (1982), no. 2-3, 301–318. | ||
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