scholarly journals An ergodic source which is not a function of any finite Markov process

Author(s):  
Roger D. Traub
1972 ◽  
Vol 34 (3) ◽  
pp. 712-714
Author(s):  
J. Gérard Muise ◽  
Renaud S. Leblanc ◽  
Clarence J. Jeffrey

Digram transitional probabilities were used to compare the uncertainty of the English and French languages. An equilibrium matrix ( A), an average information ( H) value and the redundancy ( C) were computed for both languages using a regular Markov process. Six exponentiations were required to reach an equilibrium with a maximum absolute deviation of 0.005. The value of H for English and French was 4.11 bits and 3.96 bits respectively. Redundancy C for English was 12.6% and for French 15.8%. Differences between languages were observed warranting caution in the use of sequential dependencies of letters in inter-language studies.


1968 ◽  
Vol 5 (02) ◽  
pp. 350-356 ◽  
Author(s):  
R. G. Khazanie

Consider a finite Markov process {Xn } described by the one-step transition probabilities In describing the transition probabilities in the above manner we are adopting the convention that (0)0 = 1 so that the states 0 and M are absorbing, and the states 1,2,···,M-1 are transient.


1968 ◽  
Vol 5 (2) ◽  
pp. 350-356 ◽  
Author(s):  
R. G. Khazanie

Consider a finite Markov process {Xn} described by the one-step transition probabilities In describing the transition probabilities in the above manner we are adopting the convention that (0)0 = 1 so that the states 0 and M are absorbing, and the states 1,2,···,M-1 are transient.


Author(s):  
M. V. Noskov ◽  
M. V. Somova ◽  
I. M. Fedotova

The article proposes a model for forecasting the success of student’s learning. The model is a Markov process with continuous time, such as the process of “death and reproduction”. As the parameters of the process, the intensities of the processes of obtaining and assimilating information are offered, and the intensity of the process of assimilating information takes into account the attitude of the student to the subject being studied. As a result of applying the model, it is possible for each student to determine the probability of a given formation of ownership of the material being studied in the near future. Thus, in the presence of an automated information system of the university, the implementation of the model is an element of the decision support system by all participants in the educational process. The examples given in the article are the results of an experiment conducted at the Institute of Space and Information Technologies of Siberian Federal University under conditions of blended learning, that is, under conditions when classroom work is accompanied by independent work with electronic resources.


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