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On Semi-Markov and Semiregenerative Processes II
An ergodic theorem is given for the age process $(I(t), Z(t))$ associated with a (possibly transient) semi-Markov chain $(I_n, X_n)^\infty_{n=0}$ whose sojourn times are not exclusively integer valued. Asymptotically the Markov part $(I(t):$ the state occupied at time $t)$ and the renewal part $(Z(t):$ the age in $I(t)$ at time $t)$ split into ...
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Background. The relevance of the study is due to the increasing demands on the reliability and safety of railway transport. Modern railway automation and telemechanics systems are elaborate technical complexes, the failure of which can lead to ...
Aleksandr V. Gorelik, Elena V. Kuzmina
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Shallow seismicity in the area of Greece: its character as seen by means of a stochastic model [PDF]
Occurrence of successive earthquake events in space is analysed by means of semi-stochastic processes. The analysis employs earthquakes events with M > 5.2 from the area of Greece and its surroundings (18-31° E, 34-43° N) for the time interval 1911-1985.
L. C. Polimenakos
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Stochastic Process Mining, in particular, Markov processes, is used to represent uncertainty and variability in Activities of Daily Living (ADLs). However, the Markov models inherently assume that the time spent in each state must follow an exponential ...
Eman Shaikh +4 more
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Using semi-Markov processes to study timeliness and tests used in the diagnostic evaluation of suspected breast cancer. [PDF]
Hubbard RA +5 more
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Inferring parental genomic ancestries using pooled semi-Markov processes. [PDF]
Zou JY +3 more
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Concept of Semi -Markov Process
Abstract This paper provides the definitions and basic properties related to a discrete state space semi-Markov process. The semi-Markov process is constructed by the so called Markov renewal process that is a special case the two-dimensional Markov sequence.
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COVARIANCE MATRIX OF MULTIVARIATE REWARD PROCESSES WITH NONLINEAR REWARD FUNCTIONS [PDF]
Multivariate reward processes with reward functions of constant rates, defined on a semi-Markov process, first were studied by Masuda and Sumita, 1991. Reward processes with nonlinear reward functions were introduced in Soltani, 1996.
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Semi-Markov processes for reliability studies [PDF]
Cocozza-Thivent, Christiane +1 more
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With the continuous improvement requirements of reliability and security for mechanical equipment,accurate extraction of equipment fault development trend of degradation characteristic information and establishment of effective fault prediction model is ...
JI Yun +3 more
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