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On the rate of growth of Lévy processes with no positive jumps conditioned to stay positive

   
@article{ECP1414,
	author = {Juan Carlos Pardo Millan},
	title = {On the rate of growth of Lévy processes with no positive jumps conditioned to stay positive},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {L'evy processes conditioned to stay positive, Future infimum process, First and last passage times, Occupation times, Rate of growth, Integral tests.},
	abstract = {In this note, we study the asymptotic behaviour of Lévy processes with no positive jumps conditioned to stay positive and some related processes. In particular, we establish an integral test for the lower envelope at $0$ and at $+\infty$ and an analogue of Khintchin's law of the iterated logarithm  at 0 and at $+\infty$, for the upper envelope of the reflected process at its future infimum.},
	pages = {no. 47, 494-506},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1414},    
        url = {http://ecp.ejpecp.org/article/view/1414}}