Abstract
A jump process of a semi-Markov walk is constructed. The Laplace transform for the distribution of the first instant of crossing the zero level is found with the proviso that the random walk adheres to a compound Laplace distribution.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Borovkov, A.A., Teoriya veroyatnostei (Probability Theory), Moscow, Russia: URSS, 2003.
Nasirova, T.I., Protsessy polumarkovskogo bluzhdaniya (Semi-Markov Walk Processes), Baku, Azerbaijan: Elm, 1984.
Omarova, K.K., A Study on Semi-Markov Walk Processes with Delay Screens, Cand. Sci. (Phys.-Math.) Dissertation, Baku, Azerbaijan, 2009.
Nasirova, T.I., and Omarova, K.K., The Distribution of the Boundary Functional for a Stepped Semi-Markov Walk Process with a Delay Screen at Zero, Ukrainskii Matematicheskii Zhurnal, 2007, vol. 59,no. 7, pp. 912–919.
Borovkov, A.A., Veroyatnostnye protsessy v teorii massovogo obsluzhivaniya (Probabilistic Processes in Queuing Theory), Moscow, Russia: Nauka, 1972.
Nasirova, T.I., and Sadykova, R.I., The Laplace Transform for the Distribution of Time of System’s Sojourn within a Band, Avtomatika i vychislitel’naya tekhnika, 2009, no. 4, pp. 30–37.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © K.K. Omarova, Sh.B. Bakhshiev, 2010, published in Avtomatika i Vychislitel’naya Tekhnika, 2010, No. 4, pp. 77–@@.
About this article
Cite this article
Omarova, K.K., Bakhshiev, S.B. The laplace transform for the distribution of the lower bound functional in a semi-Markov walk process with a delay screen at zero. Aut. Conrol Comp. Sci. 44, 246–252 (2010). https://doi.org/10.3103/S0146411610040085
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0146411610040085