The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart

Computational Statistics and Data Analysis

Volumn 55, Issue 8, 2011, Pages 2516-2524

  Louzada, Francisco ^a   Roman, Mari ^a   Cancho, Vicente G ^b  

^a Univ Fed de S Carlos Sao Carlos   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Censoring; Complementary risks; Exponential distribution; Exponential geometric distribution; Geometric distribution; Survival analysis

Indexed keywords

CENSORING; COMPLEMENTARY RISKS; EXPONENTIAL DISTRIBUTIONS; GEOMETRIC DISTRIBUTION; SURVIVAL ANALYSIS;

BIOINFORMATICS; GEOMETRY; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; RISK PERCEPTION;

PROBABILITY DISTRIBUTIONS;

EID: 79954560902     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.02.018     Document Type: Article

References (25)

1. M.V. Aarset How to identify a bathtub hazard rate IEEE Transactions on Reliability 2 1 1987 106 108
2. M. Abramowitz, and I. Stegun Handbook of Mathematical Functions 1972 Dover Publications New York
3. K. Adamidis, and S. Loukas A lifetime distribution with decreasing failure rate Statistics Probability Letters 39 1998 35 42 (Pubitemid 128354680)
4. W. Barreto-Souza, and F. Cribari-Neto A generalization of the exponential-Poisson distribution Statistics and Probability Letters 79 2009 2493 2500
5. W. Barreto-Souza, A.L.d. Morais, and G.M. Cordeiro The Weibull-Geometric Distribution Journal of Statistical Computation and Simulation 01 2010 1 13
6. A. Basu, and J. Klein Some recent development in competing risks theory J. Crowley, R.A. Johnson, Survival Analysis vol. 1 (1) 1982 IMS Hayward 216 229
7. D. Cox, and D. Oakes Analysis of Survival Data 1984 Chapman and Hall London
8. Cox, D.R., 1961. Tests of separate families of hypotheses. in : Proc. Fourth Berkeley Symp. on Math. Statist. and Prob. 1, 105123.
9. M. Crowder, A. Kimber, R. Smith, and T. Sweeting Statistical Analysis of Reliability Data 1991 Chapman and Hall London
10. A. Dahiya, and J. Gurland Goodness of fit tests for the gamma and exponential distributions Technometrics 14 1972 791 801
11. L.J. Gleser The gamma distribution as a mixture of exponential distributions The American Statistician 43 1989 115 117
12. E. Goetghebeur, and L. Ryan A modified log rank test for competing risks with missing failure type Biometrika 77 2 1995 207 211
13. R. Gupta, and D. Kundu Generalized exponential distributions Australian and New Zealand Journal of Statistics 41 1999 173 188
14. P. Jodr On a connection between the polylogarithm function and the Bass diffusion model Proceedings of the Royal Society 464 2008 3081 3088
15. C. Kus A new lifetime distribution Computation Statist. Data Analysis 51 2007 4497 4509 (Pubitemid 46560908)
16. J.F. Lawless Statistical Models and Methods for Lifetime Data 2 ed. 2003 Wiley New York, NY
17. F. Louzada-Neto Poly-hazard regression models for lifetime data Biometrics 55 1999 1121 1125
18. K. Lu, and A.A. Tsiatis Multiple imputation methods for estimating regression coefficients in the competing risks model with missing cause of failure Biometrics 57 4 2001 1191 1197 (Pubitemid 33108112)
19. K. Lu, and A.A. Tsiatis Comparison between two partial likelihood approaches for the competing risks model with missing cause of failure Lifetime Data Analysis 11 1 2005 29 40 (Pubitemid 40366417)
20. R.A. Maller, and S. Zhou Testing for the presence of immune or cured individuals in censored survival data Biometrics 51 4 1995 1197 1205 (Pubitemid 26030167)
21. Perdon, G.S.C., 2006, Modelos de Risco Aplicados Anlise de Sobrevivência. Doctoral thesis, Istitute of Computer Science and MatheamaticsUniversity of São Paulo, São Paulo.
22. R.L. Prentice Exponential survivals with censuring and explanatory variable Biometrika 60 1973 279 288
23. F. Proschan Theorical explanation of observed decreasing failure rate Technometrics 5 1963 375 383
24. R Development Core Team (2008). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
25. B. Reiser, I. Guttman, D. Lin, M. Guess, and J. Usher Bayesian inference for masked system lifetime data Applied Statistics 44 1 1995 79 90