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Communications in Statistics - Simulation and Computation Volume 19, 1990 - Issue 2
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Original Articles

Maximum likelihood estimation for mixtures of two gompertz distributions when censoring occurs

N. H. Gordon Department of Epidemiology and Biostatistics, Ireland Cancer Center, Case Western Reserve University, Cleveland, Ohio, 44106
Pages 733-747 | Received 01 Feb 1989, Published online: 24 Oct 2007

Citations (33)

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S. Sreelakshmi & Manoj Chacko. (2023) Parameter Estimation of Gompertz Distribution Under Constant Stress Accelerated Life Testing Using Progressive Type-II Censoring. American Journal of Mathematical and Management Sciences 42:3, pages 234-249.
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Shahram Yaghoobzadeh Shahrastani. (2019) Estimating E-bayesian and hierarchical bayesian of scalar parameter of gompertz distribution under type II censoring schemes based on fuzzy data. Communications in Statistics - Theory and Methods 48:4, pages 831-840.
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Y. L. Lio, Tzong-Ru Tsai, Nan Jiang & Narayanaswamy Balakrishnan. (2018) A dynamic system for Gompertz model. Journal of Statistical Computation and Simulation 88:4, pages 752-768.
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M. E. Ghitany, F. Alqallaf & N. Balakrishnan. (2014) On the likelihood estimation of the parameters of Gompertz distribution based on complete and progressively Type-II censored samples. Journal of Statistical Computation and Simulation 84:8, pages 1803-1812.
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Kallappa M. Koti. (2011) Exponential Failure-Time Mixture Model Approach for Validating KRAS as a Predictive Biomarker for Panitumumab Monotherapy in the Treatment of Metastatic Colorectal Cancer. Statistics in Biopharmaceutical Research 3:3, pages 425-433.
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Gleici Castro Perdoná & Francisco Louzada-Neto. (2011) A general hazard model for lifetime data in the presence of cure rate. Journal of Applied Statistics 38:7, pages 1395-1405.
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Ali. A. Ismail. (2010) Bayes estimation of Gompertz distribution parameters and acceleration factor under partially accelerated life tests with type-I censoring. Journal of Statistical Computation and Simulation 80:11, pages 1253-1264.
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R. A. Al-Jarallah & E. K. Al-Hussaini. (2007) Bayes inference under a finite mixture of two-compound Gompertz components model. Journal of Statistical Computation and Simulation 77:11, pages 915-927.
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H. M. Moustafa & S. G. Ramadan. (2003) On MLE of a nonlinear discriminant function from a mixture of two Gompertz distributions based on small sample size . Journal of Statistical Computation and Simulation 73:12, pages 867-885.
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Jong-Wuu Wu, Wen-Liang Hung & Chih-Hui Tsai. (2003) Estimation of the parameters of the Gompertz distribution under the first failure-censored sampling plan . Statistics 37:6, pages 517-525.
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Essam K. Al-Hussaini, Gannat R. Al-Dayian & Samia A. Adham. (2000) On finite mixture of two-component gompertz lifetime model. Journal of Statistical Computation and Simulation 67:1, pages 20-67.
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S.K. Ng & G.J. McLachlan. (1998) On modifications to the long-term survival mixture model in the presence of competing risks. Journal of Statistical Computation and Simulation 61:1-2, pages 77-96.
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Essam K. Al-hussinp & Magued I. Osman. (1997) On the median of a finite mixture. Journal of Statistical Computation and Simulation 58:2, pages 121-144.
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Articles from other publishers (20)

Tzong-Ru Tsai, Hua Xin & Chiun-How Kao. (2021) Bayesian Estimation Based on Sequential Order Statistics for Heterogeneous Baseline Gompertz Distributions. Mathematics 9:2, pages 145.
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Ali A. Ismail. (2020) Theoretical aspects of the development of partially accelerated life testing using Bayesian estimation. International Journal of Fatigue 134, pages 105459.
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K. Muralidharan & Pratima Bavagosai. (2016) Some Inferential Studies on Inliers in Gompertz Distribution. Journal of the Indian Society for Probability and Statistics 17:1, pages 35-55.
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Ali A. Ismail. (2014) Bayesian and Non-Bayesian Estimations under Failure-Censored Partially Accelerated Life Tests. Journal of Testing and Evaluation 42:2, pages 20130105.
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Ashok Shanubhogue & N. R. Jain. (2013) Minimum Variance Unbiased Estimation in the Gompertz Distribution under Progressive Type II Censored Data with Binomial Removals. ISRN Probability and Statistics 2013, pages 1-7.
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Ahmed A. Soliman, Ahmed H. Abd-Ellah, Naser A. Abou-Elheggag & Gamal A. Abd-Elmougod. (2012) Estimation of the parameters of life for Gompertz distribution using progressive first-failure censored data. Computational Statistics & Data Analysis 56:8, pages 2471-2485.
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David D. Hanagal & Richa Sharma. (2012) Bayesian estimation of parameters for the bivariate Gompertz regression model with shared gamma frailty under random censoring. Statistics & Probability Letters 82:7, pages 1310-1317.
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Mahdi Teimouri & Arjun K. Gupta. (2012) Estimation Methods for the Gompertz–Makeham Distribution Under Progressively Type-I Interval Censoring Scheme. National Academy Science Letters 35:3, pages 227-235.
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Kallappa M. Koti. (2009) Weibull Failure-Time Mixture Models for Evaluating Efficacy in the Presence of a Biomarker. Drug Information Journal 43:5, pages 585-593.
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Tzong‐Ru Tsai & Chen‐Chun Lin. (2009) The design of EWMA control chart for average with type‐I censored data. International Journal of Quality & Reliability Management 26:4, pages 397-405.
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Jong-Wuu Wu & Pia-Ling Li. (2004) Optimal Estimation of the Parameters of the Gompertz Distribution Based on the Doubly Type II Censored Sample. Quality & Quantity 38:6, pages 753-769.
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Jong-Wuu Wu, Wen-Liang Hung & Chih-Hui Tsai. (2004) Estimation of parameters of the Gompertz distribution using the least squares method. Applied Mathematics and Computation 158:1, pages 133-147.
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Zeinhum F. Jaheen. (2003) Bayesian prediction under a mixture of two-component Gompertz lifetime model. Test 12:2, pages 413-426.
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Yingwei Peng & K.C. Carriere. (2002) An Empirical Comparison of Parametric and Semiparametric Cure Models. Biometrical Journal 44:8, pages 1002-1014.
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Essam K. Al-Hussaini & Khalaf S. Sultan. 2001. Advances in Reliability. Advances in Reliability 139 183 .
S. K. Ng, G. J. McLachlan, D. C. McGiffin & M. F. O'Brien. (1999) Constrained mixture models in competing risks problems. Environmetrics 10:6, pages 753-767.
Crossref
Yingwei Peng, Keith B. G. Dear & J. W. Denham. (1998) A generalized F mixture model for cure rate estimation . Statistics in Medicine 17:8, pages 813-830.
Crossref
Zhenmin Chen. (1997) Parameter Estimation of the Gompertz Population. Biometrical Journal 39:1, pages 117-124.
Crossref
Nahida H. Gordon. 1996. Lifetime Data: Models in Reliability and Survival Analysis. Lifetime Data: Models in Reliability and Survival Analysis 107 112 .
GJ McLachlan & DC McGiffin. (2016) On the role of finite mixture models in survival analysis. Statistical Methods in Medical Research 3:3, pages 211-226.
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