References
- Bhat , B. R. , Adke , S. R. ( 1980 ). Maximum likelihood estimation for branching process with immigration . Adv. Appl. Probab. 13 : 498 – 509 .
- Heyde , C. C. , Seneta , E. ( 1972 ). Estimation theory for growth and immigrationrates in a multiplicative process . J. Appl. Probab. 9 : 235 – 256 .
- Heyde , C. C. , Seneta , E. ( 1974 ). Notes on Estimation theory for growth and immigration rates in a multiplicative process . J. Appl. Probab. 11 : 572 – 577 .
- Ispány , M. , Pap , G. , Zuijlen , M. V. ( 2003 ). Asymptotic behaviour of estimators of the parameters of nearly unstable INAR(1) models, In: Haitovsky, Y., Lerche, H. R., Ritov, Y., eds. Foundations of Statistical Inference. Proceedings of the Shoresh Conference. Berlin: Physica-Verlag, pp. 193–204 .
- Ispány , M. , Pap , G. , Zuijlen , M. V. ( 2005 ). Fluctuation limit of branching processes with immigration and estimation of the means . Adv. Appl. Probab. 37 : 523 – 538 .
- Klimko , L. , Nelson , P. I. ( 1978 ). On conditional least-squares estimation for stochastic processes . Ann. Statist. 6 : 629 – 642 .
- Li , Y. ( 2009 ). A fluctuation type limit theorem for Jirina processes with immigration. Acta Mathematica Sinica (English Series) 25:1379–1388 .
- Qi , Y. , Reeves , J. ( 2002 ). On sequetial estimation for branching processes with immigration . Stochastic Process. Appl. 100 : 41 – 51 .
- Sriram , T. N. ( 1994 ). Invalidity of bootstrap for critical branching processes with immigration . Ann. Statist. 22 : 1013 – 1023 .
- Sriram , T. N. , Basawa , I. V. , Huggins , R. M. ( 1991 ). Sequential estimation for branching processes with immigration . Ann. Statist. 19 : 2232 – 2243 .
- Shete , S. , Sriram , T. N. ( 1998 ). Fixed precision estimator of the offspring mean in branching processes . Stochastic Process. Appl. 77 : 17 – 33 .
- Strasser , H. (1986). Martingale difference arrays and stochastic integrals. Probab. Ther. Rel. Fields. 72:83–98.
- Venkataraman , K. N. ( 1982 ). A time series approach to the study of the simple subcritical Galton-Watson process with immigration . Adv. Appl. Probab. 14 : 1 – 20 .
- Wei , C. Z. , Winnicki , J. ( 1990 ). Estimation of the mean in the branching process with immigration . Ann. Statist. 18 : 1757 – 1773 .