A complete, everywhere-convergent left-tail asymptotic series is derived for the density of the martingale limit of supercritical Galton-Watson processes with immigration.
V., Ren, Y.-X.: Small value probabilities for supercritical branching processes with immigration
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Complete left-tail asymptotic for branching processes with immigration
A complete, everywhere-convergent left-tail asymptotic series is derived for the density of the martingale limit of supercritical Galton-Watson processes with immigration.