Aldous, D. (1978). Stopping times and tightness. Ann. Prob.
Billingsley, P. (1999). Convergence of Probability Measures. John Wiley, New York.
Bingham, N. H., Goldie, C. M. and Teugels, J. L. (1987). Regular Variation. Cambridge University Press.
Dawson, D. A. and Li, Z. H. (2006). Skew convolution semigroups and affine Markov processes. Ann. Prob.
Ethier, S. N. and Kurtz, T. G. (1986). Markov Processes. John Wiley, New York.
Hall, P. and Heyde, C. (1980). Martingale Limit Theory and Its Applications. Academic Press, New York.
Heyde, C. C. (1974). On estimating the variance of the offspring distribution in a simple branching process. Adv. Appl. Prob.
Ikeda, N. and Watanabe, S. (1989). Stochastic Differential Equations and Diffusion Processes (North-Holland Math. Library 24), 2nd edn.
Jacod, J. and Shiryaev, A. N. (1987). Limit Theorems for Stochastic Processes. Springer, Berlin.
Kawazu, K. and Watanabe, S. (1971). Branching processes with immigration and related limit theorems. Theory Prob. Appl.
Klimko, L. A. and Nelson, P. I. (1978). On conditional least squares estimation for stochastic processes. Ann. Statist.
Kurtz, T. G. and Protter, P. (1991). Weak limit theorems for stochastic integrals and stochastic differential equations. Ann. Prob.
Li, Z. (2005). A limit theorem for discrete Galton–Watson branching processes with immigration. J. Appl. Prob.
Samorodnitsky, G. and Taqqu, M. S. (1994). Stable Non-Gaussian Random Processes. Chapman and Hall, New York.
Samorodnitsky, G., Rachev, S. T., Kurz-Kim, J. R. and Stoyanov, S. V. (2007). Asymptotic distribution of unbiased linear estimators in the presence of heavy-tailed stochastic regressors and residuals. Prob. Math. Statist.
Wei, C. Z. and Winnicki, J. (1989). Some asymptotic results for the branching process with immigration. Stochastic Process. Appl.
Wei, C. Z. and Winnicki, J. (1990). Estimation of the means in the branching process with immigration. Ann. Statist.
Winnicki, J. (1991). Estimation of the variances in the branching process with immigration. Prob. Theory Relat. Fields