The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks

From MaRDI portal
Publication:1358014

DOI10.1007/BF02104660zbMath0878.60023OpenAlexW2051871795MaRDI QIDQ1358014

Aleksandr A. Borovkov, Anatoliĭ Alfredovich Mogul'skiĭ

Publication date: 21 November 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104660



Related Items

Integro-local limit theorems for compound renewal processes under Cramér's condition. II, Characterization of large deviation probabilities for regenerative sequences, Large deviation principles in boundary problems for compound renewal processes, Local theorems for arithmetic compound renewal processes when Cramer's condition holds, First exit time for a discrete-time parallel queue, Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. I, Integro-local limit theorems for compound renewal processes under Cramér's condition. I, Локальные теоремы для арифметических многомерных обобщенных процессов восстановления при выполнении условия Крамера, Light tail asymptotics in multidimensional reflecting processes for queueing networks, Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case, On a Property of the Legendre Transform, Local theorems for finite-dimensional increments of compound multidimensional arithmetic renewal processes with light tails, A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process, The exact asymptotics for hitting probability of a remote orthant by a multivariate Lévy process: the Cramér case, Local theorems for (multidimensional) additive functionals of semi-Markov chains, Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes, The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem, The rate function and the fundamental function for multidimensional compound renewal process, Large deviation principle for multidimensional first compound renewal processes in the phase space, Large deviation principle for multidimensional second compound renewal processes in the phase space, Large Deviations for a Terminating Compound Renewal Process, Large deviation principles for the finite-dimensional distributions of compound renewal processes, Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления



Cites Work