Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 621-630
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A. P. Cherenkov. Existence theorems for a semi-Markov process with an arbitrary set of states. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/
@article{MZM_1974_15_4_a13,
author = {A. P. Cherenkov},
title = {Existence theorems for {a~semi-Markov} process with an arbitrary set of states},
journal = {Matemati\v{c}eskie zametki},
pages = {621--630},
year = {1974},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/}
}
TY - JOUR
AU - A. P. Cherenkov
TI - Existence theorems for a semi-Markov process with an arbitrary set of states
JO - Matematičeskie zametki
PY - 1974
SP - 621
EP - 630
VL - 15
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/
LA - ru
ID - MZM_1974_15_4_a13
ER -
%0 Journal Article
%A A. P. Cherenkov
%T Existence theorems for a semi-Markov process with an arbitrary set of states
%J Matematičeskie zametki
%D 1974
%P 621-630
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/
%G ru
%F MZM_1974_15_4_a13
We introduce a semi-Markov process $x_t$ with an arbitrary measurable set of states; we formulate conditions for the absence of second order discontinuities in the trajectories of the process sufficient for realization of the semi-Markov process $x_t$ as a probability measure in the space of step-functions. We conclude with a study of the resulting model.
