Bayesian analysis for the superposition of two dependent nonhomogeneous Poisson processes

Communications in Statistics - Theory and Methods

Volumn 31, Issue 9, 2002, Pages 1467-1478

  Rodrigucs, Josemar ^a   Cid, Juan E R ^a   Achcar, Jorge A ^a  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

Augmentation data algorithm; Bivariate Poisson distribution

Indexed keywords

EID: 34548173730     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/sta-120013005     Document Type: Article

References (12)

1. Cox, D.R.; Lewis, P.A. Statistical Analysis of Series of Events; London: Methuen. 1966.
2. Yang, T.Y.; Kuo, L. Bayesian Computation for the Superposition of Homogenous Poisson Process, Technical Report Number 95-30, Department of Statistics, University of Connecticut-Storrs, 1999.
3. Gaver. D.P.; Acar, M. Analytical Hazard Representations for the use in Reliability, Mortality, and Simulation Studies, Communications in Statistics, Simulation and Computation, 1979, B8, 91-111.
4. Musa, J.D.; Okumoto, K. A Logarithmic Poisson Execution Time Model for Software Reliability Measurement. Proceedings Seventh International Conference on Software Engineering, Orlando 1984, 230-238.
5. Hjorth, U. A Reliability Distribution with Increasing, Decreasing, Constant and Bathtub-Shaped Failure Rates, Technometrics 1980, 22, 99-107.
6. Goel, A.L.; Okumoto, K. Time Dependent Error Detection Rate Model for Software Reliability and Other Performance Measures. IEEE Transactions on Reliability, 1979, 28, 206-211.
7. Ahmed, M.S. On Locally Most Powerful Boundary Randomized Similar Test for the Independence of Two Poisson Variables. Annals of Mathematical of Statistics 1961, 32, 809-827.
8. Kempt, C.D.; Kempt, A.W. Some Properties of the "Hermite" Distribution. Biometrika 1965, 52(3&4), 381-395.
9. Musa, J.D.; Iannino, A.; Okumoto, K. Software Reliability Measurement. Prediction. Application, New York: McGraw Hill, 1987.
10. Tanner, M.; Wong, W. The Calculation of Posterior Distributions by Data Augmentation. J. Amer. Statist. Assoc., 1987, 82, 528-550.
11. Kuo, L.; Yang, T.Y. Bayesian Computation for Nonhomogeneous Poisson Processes in Software Reliability. J. Amer. Statist. Assoc. 1996, 91, 434, 763-773.
12. Gelman. A.E.; Rubin, D. Inference From Iterative Simulation Using Multiple Sequences. Statistical Science 1992, 7, 457-472.