The critical Galton-Watson process without further power moments. Nagaev, S. V. & Wachtel, V. J. Appl. Probab., 44(3):753–769, 2007.
The critical Galton-Watson process without further power moments [link]Paper  bibtex   
@article{MR2355590,
	Author = {Nagaev, S. V. and Wachtel, V.},
	Date-Added = {2018-03-02 20:54:57 +0000},
	Date-Modified = {2018-03-02 20:54:57 +0000},
	Fjournal = {Journal of Applied Probability},
	Issn = {0021-9002},
	Journal = {J. Appl. Probab.},
	Mrclass = {60J80 (60F05)},
	Mrnumber = {2355590},
	Mrreviewer = {Alfonso Ramos},
	Number = {3},
	Pages = {753--769},
	Title = {The critical {G}alton-{W}atson process without further power moments},
	Url = {https://doi.org/10.1239/jap/1189717543},
	Volume = {44},
	Year = {2007},
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	Bdsk-Url-1 = {https://doi.org/10.1239/jap/1189717543}}

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