Modeling Heterogeneous Survival Data Using Mixture of Extended Exponential-Geometric Distributions

Abstract

In this article, we propose a mixture of extended exponential-geometric distributions to model heterogeneous survival data. Various properties of the proposed mixture of extended exponential-geometric distributions are discussed. Maximum likelihood estimations of the parameters are obtained by using the EM algorithm. Illustrative examples based on real data are also given.

Keywords:

• EM algorithm
• Heterogeneous survival data
• Kolmogorov–Simirnov test
• Mixture of extended exponential-geometric distributions
• Mixed distribution
• Survival analysis

Mathematics Subject Classification:

• 60E05
• 62N02

Acknowledgments

We would like to thank the Editor and two anonymous referees whose comments significantly improved this manuscript. We would also like to thank Murat Erişoğlu for his valuable comments. This work is supported by Çukurova University Scientific Research Project Unit (No. FEF 2009D7 LTP).