Markov-Correlated Poisson Processes

References

• Balakrishnan , N. , Kozubowski , T. ( 2008 ). A class of weighted Poisson processes . Statist. Probab. Lett. 78 : 2346 – 2352 .
   Web of Science ®Google Scholar
• Borges , P. , Rodrigues , J. , Balakrishnan , N. ( 2011 ). Correlated Poisson process. J. Statist. Plann. Infer. (online doi: 0.1016/spi.2011.08.002) .
   Google Scholar
• Edwards , W. F. ( 1960 ). The meaning of binomial distribution . Nature 86 : 1074 .
   Web of Science ®Google Scholar
• Gani , J. ( 1982 ). On the probability generating function of the sum of Markov Bernoulli random variables . J. App. Probab. 19 : 321 – 326 .
   Google Scholar
• Haseman , J. D. , Kupper , L. L. ( 1979 ). Analysis of dichotomous response data from certain toxicological experiments . Biometrics 35 : 281 – 293 .
   PubMed Web of Science ®Google Scholar
• Rodrigues , J. , Cancho , V. G. , de Castro , M. , Louzada-Neto , F. ( 2008 ). On the unification of the long-term survival models . Statist. Probab. Lett. 39 : 753 – 759 .
   Google Scholar
• Rodrigues , J. , Castro , M. , Balakrishnan , N. , Cancho , V. ( 2011 ). Destructive weighted Poisson cure rate models . Lifetime Data Anal. 17 : 333 – 346 .
   PubMed Web of Science ®Google Scholar
• Viveros , R. , Balasubramarian , K. , Balakrishnan , N. ( 1994 ). Binomial and negative binomial analogues under correlated Bernoulli trials . Amer. Statistician 48 : 243 – 247 .
   Web of Science ®Google Scholar
• Xekalaki , E. , Panaretos , J. ( 2004 ). A binomial distribution with dependent trials and its use in stochastic model evaluation . Commun. Statist. Theor. Meth. 33 : 3043 – 3058 .
   Web of Science ®Google Scholar