How to cite this paper
Kurniasari, D., Warsono, W., Indryani, N., Usman, M & Hadi, S. (2021). Simulation of generalized Gamma distribution with maximum likelihood estimation and expectation-maximization algorithm on right censored data type 1.Decision Science Letters , 10(3), 415-424.
Refrences
Agarwal, S.K. & Kalla. S.L. (1996). A generalized gamma distribution and its application in reliability. Communication in Statistics Theory-Methods, 25, 201- 210.
Agarwal, S.K. & Al-Saleh, A.A. (2001). Generalized gamma type distribution and its hazard rate function. Communication in Statistics Theory-Methods, 30, 309-318.
Bain, L.J. & Engelhardt, M. 1992. Introduction to Probability and Mathematical Statistics. Duxbury, United States.
Cordeiro, G.M., Castellares, F., Montenegro, L.C., & Casto, M. (2012). The Beta Generalizatiom of The Gamma Distribution. Statistics, 47, 1-13.
Cox, C., Chu, H., Schneider, M.F., & Muñoz, A. (2007). Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Statistics in Medicine, 26, 4352–4374.
Cox, C. (2008). The generalized F distribution: an umbrella for parametric survival analysis. Statistics in Medicine, 27, 4301–4312.
Hogg, R.V., & Craig, A.T. (1995). Introduction of Mathematical Statistic. Fifth Edition. John Wiley & Sons, The United States of America.
Hogg, V.H., Mckean, J.W., & Craig, A.T. (2013). Introduction to Mathematical Statistics. Pearson Education Inc., Boston.
Hoq, A., Ali, M. & Templetion. (1974). Estimation of parameters of a generalized life testing models. Journal of Statistical Research, 9, 67-79.
Kalla, S.L. Al-Saqabi, B.N., & Khajah, H.G. 2001. A unified form of gamma type distributions. Applied Mathematics and Computation, 118, 175-187.
Klein, J.P., & Moeschberger, M.L. (1997). Survival Analysis: Techniques for Censored and Truncated Data. Springer-Verlag, New York.
Lee, E., & Wang, J.W. (2003). Statistical Method for Survival Data Analysis. John Wiley & Sons Inc., New York.
Lee, M., & Gross, A. (1991). Lifetime distributions under unknown environment. Journal of Statistical Planning and Inference, 29, 137-143.
Liu, X. (2012). Survival Analysis : Models and Applications. John Wiley & Sons, USA.
Mclachlan, G.J., & Krishnan, T. (2008). The EM Algorithm and Extensions. John Wiley & Sons Inc., Canada.
Millar, R.B. (2011). Maximum Likelihood Estimation and Inference: With Examples in R, SAS, and ADMB. John Wiley & Sons, Ltd., United Kingdom.
Nadarajah, S., & Gupta, A.K. (2007). Moments and cumulants of the skew normal distribution, Kobe Journal of Mathematics, 24, 107-124
Ortega, E.M.M., Cancho, V.G., & Paula, G.A. (2009). Generalized log-gamma regression models with cure fraction. Lifetime Data Analysis, 15, 79–106.
Ruhi, S., Sarker, S., & Karim, M.R. (2015). Mixture Model for Analyzing Product Reliability data: a Case Study. SpringerPlus, 4, 634.
Stacy, E.W. (1962). A Generalization of The Gamma Distribution. The Annals of Mathematical Statistics, 33, 1187-1192.
Wang, F.K. & Cheng, Y.F. (2009). EM Algorithm for Estimating The Burr XII Parameters with Multiple Censored Data. John Wiley & Sons Inc., pp. 615-630.
Warsono. (2009). Moment Properties of the Generalized Gamma Distribution, National Seminar on Sains, Matematika dan Aplikasinya IV, pp. 157-162.
Warsono, Gustavia, E., Kurniasari, D., Amanto, & Antonio, Y. (2019). On The Comparison of The Methods of Parameter Estimation for Pareto Distribution. Journal of Physics: Conf. Series, 1338, 012042.
Agarwal, S.K. & Al-Saleh, A.A. (2001). Generalized gamma type distribution and its hazard rate function. Communication in Statistics Theory-Methods, 30, 309-318.
Bain, L.J. & Engelhardt, M. 1992. Introduction to Probability and Mathematical Statistics. Duxbury, United States.
Cordeiro, G.M., Castellares, F., Montenegro, L.C., & Casto, M. (2012). The Beta Generalizatiom of The Gamma Distribution. Statistics, 47, 1-13.
Cox, C., Chu, H., Schneider, M.F., & Muñoz, A. (2007). Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Statistics in Medicine, 26, 4352–4374.
Cox, C. (2008). The generalized F distribution: an umbrella for parametric survival analysis. Statistics in Medicine, 27, 4301–4312.
Hogg, R.V., & Craig, A.T. (1995). Introduction of Mathematical Statistic. Fifth Edition. John Wiley & Sons, The United States of America.
Hogg, V.H., Mckean, J.W., & Craig, A.T. (2013). Introduction to Mathematical Statistics. Pearson Education Inc., Boston.
Hoq, A., Ali, M. & Templetion. (1974). Estimation of parameters of a generalized life testing models. Journal of Statistical Research, 9, 67-79.
Kalla, S.L. Al-Saqabi, B.N., & Khajah, H.G. 2001. A unified form of gamma type distributions. Applied Mathematics and Computation, 118, 175-187.
Klein, J.P., & Moeschberger, M.L. (1997). Survival Analysis: Techniques for Censored and Truncated Data. Springer-Verlag, New York.
Lee, E., & Wang, J.W. (2003). Statistical Method for Survival Data Analysis. John Wiley & Sons Inc., New York.
Lee, M., & Gross, A. (1991). Lifetime distributions under unknown environment. Journal of Statistical Planning and Inference, 29, 137-143.
Liu, X. (2012). Survival Analysis : Models and Applications. John Wiley & Sons, USA.
Mclachlan, G.J., & Krishnan, T. (2008). The EM Algorithm and Extensions. John Wiley & Sons Inc., Canada.
Millar, R.B. (2011). Maximum Likelihood Estimation and Inference: With Examples in R, SAS, and ADMB. John Wiley & Sons, Ltd., United Kingdom.
Nadarajah, S., & Gupta, A.K. (2007). Moments and cumulants of the skew normal distribution, Kobe Journal of Mathematics, 24, 107-124
Ortega, E.M.M., Cancho, V.G., & Paula, G.A. (2009). Generalized log-gamma regression models with cure fraction. Lifetime Data Analysis, 15, 79–106.
Ruhi, S., Sarker, S., & Karim, M.R. (2015). Mixture Model for Analyzing Product Reliability data: a Case Study. SpringerPlus, 4, 634.
Stacy, E.W. (1962). A Generalization of The Gamma Distribution. The Annals of Mathematical Statistics, 33, 1187-1192.
Wang, F.K. & Cheng, Y.F. (2009). EM Algorithm for Estimating The Burr XII Parameters with Multiple Censored Data. John Wiley & Sons Inc., pp. 615-630.
Warsono. (2009). Moment Properties of the Generalized Gamma Distribution, National Seminar on Sains, Matematika dan Aplikasinya IV, pp. 157-162.
Warsono, Gustavia, E., Kurniasari, D., Amanto, & Antonio, Y. (2019). On The Comparison of The Methods of Parameter Estimation for Pareto Distribution. Journal of Physics: Conf. Series, 1338, 012042.