Geodesic
Random process from the class $V (\varphi, \psi)$
Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 219-232

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Random processes from the class $V (\varphi, \psi)$ which is more general than the class of $\psi$-sub-Gaussian random process. The upper estimate of the probability that a random process from the class $V (\varphi, \psi)$ exceeds some function is obtained. The results are applied to generalized process of fractional Brownian motion.
Keywords: Sub-Gaussian process, generalized fractional Brownian motion, metric entropy, buffer overflow probability, ruin probability. 
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     author = {Rostyslav Yamnenko and Olga Vasylyk},
     title = {Random process from the class $V (\varphi, \psi)$},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a16/}
}
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Rostyslav Yamnenko; Olga Vasylyk. Random process from the class $V (\varphi, \psi)$. Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 219-232. http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a16/