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Maximum Likelihood Estimation of Burr Type V Distribution under Left Censored Samples
The paper deals with the maximum likelihood estimation of the parameters of the Burr type V distribution based on left censored samples. The maximum likelihood estimators (MLE) of the parameters have been derived and the Fisher information matrix for the parameters of the said distribution has been obtained explicitly. The confidence intervals for the parameters have also been discussed. A simulation study has been conducted to investigate the performance of the point and interval estimates.
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[1] W. I. Burr, “Cumulative frequency distribution,” Annals of Mathematical Statistics, vol. 13, pp. 215–232, 1942.
[2] J. G. Surles, and W.J. Padgett, “Inference for reliability and stress-length for a scaled burr type x distribution,” Lifetime Data analysis, vol. 7, pp. 187–202, 2001.
[3] M. A. M. Mousa, and Z. F. Jaheen, “Statistical inference for the burr model based on progressively censored data,” Computers & Mathematics with Applications, vol. 10-11, pp. 1441–1449, 2002.
[4] A. A. Soliman, “Reliability estimation in a generalized life model with application to the burr-xii,” IEEE Tran. on Reliability, Vol. 51, pp. 337– 343, 2002.
[5] Q. Shao, “Notes on maximum likelihood estimation for the threeparameter burr xii distribution,” Computational Statistics and Data Analysis, vol. 45, pp. 675–687, 2004a.
[6] Q. Shao, H. Wong, and J. Xia, “Models for extremes using the extended three parameter burr xii system with application to flood frequency analysis,” Hydrological Sciences Journal des Sciences Hydrologiques, vol. 49, pp. 685–702, 2004b.
[7] A. A. Soliman, “Estimation of parameters of life from progressively censored data using burr-xii model,” IEEE Transactions on Reliability, vol. 54, pp. 34–42, 2005.
[8] J. W. Wu, and H. Y. Yu, “Statistical inference about the shape parameter of the burr type xii distribution under the failure-censored sampling plan,” Applied Mathematics and Computation, vol. 163, no. 1, pp. 443– 482, 2005.
[9] A. Amjad, and B. Ayman, “Interval estimation for the scale parameter of burr type x distribution based on grouped data,” Journal of Modern Applied Statistical Methods, vol. 3, pp. 386–398, 2006.
[10] A. S. Wahed, “Bayesian inference using burr model under asymmetric loss function: an application to carcinoma survival data,” Journal of Statistical Research, vol. 40, no. 1, pp. 45–57, 2006.
[11] S. J. Wu, Y. J. Chen, and C. T. Chang, “Statistical inference based on progressively censored samples with random removals from the burr type xii distribution,” Journal of Statistical Computation and Simulation, vol. 77, pp. 19–27, 2007.
[12] K. M. Aludaat, M. T. Alodat, and T. T. Alodat, “Parameter estimation of burr type x distribution for grouped data,” Journal of Applied Mathematical Sciences, vol. 2, no. 9, pp. 415–423, 2008.
[13] G. O. Silva, E. M. M. Ortega, V. C. Garibay et al., “Log-burr xii regression models with censored data,” Computational Statistics and Data Analysis, vol. 52, pp. 3820–3842, 2008.
[14] M. Yarmohammadi, and H. Pazira, “Minimax estimation of the parameter of the burr type xii distribution,” Australian Journal of Basic and Applied Sciences, vol. 4, no. 12, pp. 6611–6622, 2010.
[15] R. Dasgupta, “On the distribution of burr with applications,” Sankhya B, vol. 73, pp. 1–19, 2011.
[16] I. Makhdoom, and A. Jafari, “Bayesian estimations on the burr type xii distribution using grouped and un-grouped data,” Australian Journal of Basic and Applied Sciences, vol. 5, no. 6, pp. 1525–1531, 2011.
[17] H. Panahi, and S. Asadi, “Analysis of the type-ii hybrid censored burr type xii distribution under linex loss function,” Applied Mathematical Sciences, vol. 5, no. 79, pp. 3929–3942, 2011.
[18] N. Feroze, and M. Aslam, “Bayesian analysis of burr type x distribution under complete and censored samples,” International Journal of Pure and Applied Sciences and Technology, vol. 11, no. 2, pp. 16–28, 2012.
[19] F. Jerald, and J. F. Lawless, “Statistical models and methods for lifetime data,” Second Edition, University of Waterloo, 2003.
[20] P. Sinha, M. B. Lambert, and V. L. Trumbull, “Evaluation of statistical methods for left-censored environmental data with nonuniform detection limits,” Environ Toxicol Chem., vol. 25, no. 9, pp. 2533–40, 2006.
[21] J. Asselineau, R. Thiebaut, P. Perez, et al., “Analysis of left-censored quantitative outcome: example of procalcitonin level,” Rev Epidemiol Sante Publique, vol. 55, no. 3, pp. 213–20, 2007.
[22] R. C. Antweller, and H. E. Taylor, “Evaluation of statistical treatments of left-censored environmental data using coincident uncensored data sets: I. Summary statistics,” Environ. Sci. Technol., vol. 42, pp. 3732– 3738, 2008.
[23] E. M. Thompson, J. B. Hewlett, and L. G. Baise, “The Gumbel hypothesis test for left censored observations using regional earthquake records as an example,” Nat. Hazards Earth Syst. Sci., vol. 11, pp. 115– 126, 2011.
[24] N. Feroze and M. Aslam, “On Bayesian analysis of burr type vii distribution under different censoring schemes,” International Journal of Quality, Statistics, and Reliability, vol. 3, pp. 1–5, 2012.
[25] S. Wu, and C. Kus, “On estimation based on progressive first-failurecensored sampling,” Computational Statistics and Data Analysis, vol. 53, pp. 3659–3670. 2009.
[26] G. Zheng, and J. L. Gastwirth, “Where is the Fisher information in an ordered sample?,” Statistica Sinica, vol. 10, pp. 1267–1280, 2000.
[27] R. D. Gupta, R. C. Gupta, and P. G. Sankaran, “Fisher information in terms of the (reversed) hazard rate function,” Communication in Statistics: Theory and Methods, vol. 33, pp. 3095–3102, 2004.

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