Estimation of Parameters in a Bivariate Generalized Exponential Distribution Based on Type-II Censored Samples

References

• Assar, S.M., El-Maseh, M.P. (2014). Estimation of the parameters of the bivariate generalized exponential distribution using accelerated life testing with censoring data. International Journal of Advanced Statistics and Probability 2: 77–83.
   Google Scholar
• Balakrishnan, N., Kim, J.A. (2004). EM Algorithm for Type-II right censored bivariate normal data. In: Nikulin, M.S., Balakrishnan, N., Mesbah, M., Limnios, N., eds. Advances in Parametric and Semi-Parametric Inference with Applications in Reliability, Survival Analysis and Quality of Life. Boston: Burkhauser, pp. 177–210.
   Google Scholar
• Balakrishnan, N., Lai, C.D. (2009). Continuous Bivariate Distributions.2nd ed. New York: Springer.
   Google Scholar
• David, H.A., Nagaraja, H.N. (1998). Concomitants of order statistics. In: Balakrishnan, N., Rao, C.R., eds. Handbook of Statistics 16: Order Statistics: Theory and Methods. Amsterdam: North-Holland Academic Publishers, pp. 287–513.
   Google Scholar
• David, H.A., Nagaraja, H.N. (2003). Order Statistics.2nd ed. New York: Wiley.
   Google Scholar
• Dewan, I., Nandi, S. (2013). An EM algorithm for the estimation of parameters of bivariate generalized exponential distribution under random left censoring. Journal of Statistical Computation and Simulation 83: 1648–1660.
   Web of Science ®Google Scholar
• Domma, F. (2009). Some properties of the bivariate Burr type III distribution. Statistics: A Journal of Theoretical and Applied Statistics 44: 203–215.
   Google Scholar
• Gupta, R.D., Kundu, D. (1999). Generalized exponential distribution. Australian & New Zealand Journal of Statistics 41: 173–188.
   Web of Science ®Google Scholar
• Gupta, R.D., Kundu, D. (2007). Generalized exponential distribution: Existing methods and recent developments. Journal of the Statistical Planning and Inference 137: 3537–3547.
   Web of Science ®Google Scholar
• He, Q., Nagaraja, H.N. (2011). Correlation estimation in Downton's bivariate exponential distribution using incomplete samples. Journal of Statistical Computation and Simulation 81: 531–546.
   Web of Science ®Google Scholar
• Hsieh, J.J. (2010). Estimation of Kendall's tau from censored data. Computational Statistics and Data Analysis 54: 1613–1621.
   Web of Science ®Google Scholar
• Johnson, R.A., Wichern, D.W. (1992). Applied Multivariate Statistical Analysis. 3rd ed. Englewood CliffsNJ: Prentice Hall.
   Google Scholar
• Kendall, M.G., Gibbons, J.D. (1990). Rank Correlation Methods. 5th ed. New York: Oxford University Press.
   Google Scholar
• Kundu, D., Gupta, R.D. (2009). Bivariate generalized exponential distribution. Journal of Multivariate Analysis 100: 581–593.
   Web of Science ®Google Scholar
• Kundu, D., Gupta, R.D. (2011). Absolute continuous bivariate generalized exponential distribution. AStA Advances in Statistical Analysis 95: 169–185.
   Web of Science ®Google Scholar
• Lakhal, L., Rivest, L.P., Beaudoin, D. (2009). IPCW estimator for Kendall's tau under bivariate censoring. International Journal of Biostatistics 5: 1121–1141.
   Web of Science ®Google Scholar
• Lawless, J.F. (1982). Statistical Models And Methods For Lifetime Data. New York: Wiley.
   Google Scholar
• Lim, J. (2006). Permutation procedures with censored data. Computational Statistics and Data Analysis 50: 332–345.
   Web of Science ®Google Scholar
• Lin, Y.-J., Lio, Y.L., Ng, H. K.T. (2013). Bayes estimation of Moran-Downton bivariate exponential distribution based on censored samples. Journal of Statistical Computation and Simulation 83: 837–852.
   Web of Science ®Google Scholar
• Mardia, K.V. (1962). Multivariate Pareto distributions. Annals of Mathematical Statistics 33: 1008–1015.
   Google Scholar
• Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E. (1953). Equations of state calculations by fast computing machines. Journal of the Chemical Physics 21: 1087–1091.
   Web of Science ®Google Scholar
• Nelsen, R.B. (2006). An Introduction to Copulas.2nd ed. New York: Springer.
   Google Scholar
• Oakes, D. (2008). On consistency of Kendall's tau under censoring. Biometrika 95: 997–1001.
   Web of Science ®Google Scholar
• Sarhan, A., Balakrishnan, N. (2007). A new class of bivariate distribution and its mixture. Journal of Multivariate Analysis 98: 1508–1527.
   Web of Science ®Google Scholar
• Stone, G.C. (1978). Statistical Analysis of Accelerated Aging Tests on Solid Electrical Insulation. Unpublished M.A.Sc. thesis, University of Waterloo, Canada.
   Google Scholar
• Zheng, G., Park, S. (2004). A note on time saving in censored life testing. Journal of Statistical Planning and Inference 124: 289–300.
   Web of Science ®Google Scholar