Estimating the parameter of the Lindley distribution under progressive type-II censored data
Abstract
References
bibitem{1} Al-Zahrani, B., $&$ Gindwan, M. (2014). Parameter estimation of a two-parameter Lindley distribution under hybrid censoring. {em International Journal of Systems Assurance Engineering and Management}. DOI:10.1007/s13198-013-0213-2.
bibitem{2} Balakrishnan, N., $&$ Aggarwala, R. (2000). Progressive Censoring: Theory, Methods and. Applications. Boston: Birkh"auser.
bibitem{3} Dempster, A. P., Laird, N. M., $&$ Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. {em Journal of the Royal Statistical Society}, 39, 1--38.
bibitem{4} Geddes, K. O., Glasser, M. L., Moore, R. A., $&$ Scott, T. C. (1990). Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions. {em Applicable Algebra in Engineering, Communication and Computing}, 1, 149--165.
bibitem{5} Ghitany, M. E., Alqallaf, F., Al-Mutairi, D. K., $&$ Husain, H. A. (2011). A two-parameter weighted Lindley distribution and its applications to survival data. {em Mathematics and Computers in Simulation}, 81, 1190--1201.
bibitem{6} Ghitany, M. E., Atieh, B., $&$ Nadarajah, S. (2008). Lindley distribution and its application. {em Mathematics and Computers in Simulation}, 78, 493--506.
bibitem{66} Louis, T. A. (1982). Finding the observed information matrix using the EM algorithm, {em Journal of the Royal Statistical Society}, 44, 226--233.
bibitem{7} McLachlan, G. J., $&$ Krishnan, T. (2008). The EM Algorithm and Extensions, Second Edition. Hoboken, New Jersey: John Wiley and Sons.
bibitem{8} Ng, H. K. T., Chan, P. S., $&$ Balakrishnan, N. (2002). Estimation of parameters from progressively censored data using EM algorithm. {em Computational Statistics $&$ Data Analysis}, 39, 371--386.
bibitem{9} Sarhan, A. M., $&$ Abuammoh, A. (2008). Statistical Inference Using Progressively Type-II Censored Data with Random Scheme, {em International Mathematical Forum}, 35, 1713--1725.
bibitem{10} Shanker, R., Sharma, S., $&$ Shanker, R. (2013). A Two-Parameter Lindley Distribution for Modeling Waiting and Survival Times Data, {em Applied Mathematics}, 4, 363--368.
bibitem{11} Robert, C. P., $&$ Casella, G. (2005). Monte Carlo Statistical Methods. Secaucus, New Jersey: Springer-Verlag New York, Inc.
bibitem{13} Zakerzadeh, H., $&$ Mahmoudi, E. (2012). A new two parameter lifetime distribution: model and properties. {arXiv preprint arXiv:1204.4248}.
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