Some limit theorems for a general stochastic model of epidemics

1973 ◽  
Vol 13 (5) ◽  
pp. 424-428
Author(s):  
A. V. Nagaev

1975 ◽  
Vol 12 (3) ◽  
pp. 415-424 ◽  
Author(s):  
Richard J. Kryscio

Recently, Billard (1973) derived a solution to the forward equations of the general stochastic model. This solution contains some recursively defined constants. In this paper we solve these forward equations along each of the paths the process can follow to absorption. A convenient method of combining the solutions for the different paths results in a simplified non-recursive expression for the transition probabilities of the process.





Psychometrika ◽  
1965 ◽  
Vol 30 (4) ◽  
pp. 419-440 ◽  
Author(s):  
William Meredith




2008 ◽  
Vol 112 (6) ◽  
pp. 1736-1742 ◽  
Author(s):  
Li Zhang ◽  
Andreas Lüttge


1983 ◽  
Vol 21 (3-4) ◽  
pp. 229-237
Author(s):  
S. D. Damaskos ◽  
A. S. Papadopoulos




1989 ◽  
Vol 6 (4) ◽  
pp. 273-280 ◽  
Author(s):  
B.L. Granovsky ◽  
T. Rolski ◽  
W.A. Woyczynski ◽  
J.A. Mann


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