scholarly journals On the convergence of extreme distributions under power normalization

2008 ◽  
Vol 35 (2) ◽  
pp. 145-153
Author(s):  
E. M. Nigm

2007 ◽  
Vol 6 ◽  
pp. 43-46 ◽  
Author(s):  
Pasi Suvikunnas ◽  
Jari Salo ◽  
Pertti Vainikainen


2014 ◽  
Vol 92 ◽  
pp. 44-54 ◽  
Author(s):  
Franck Mazas ◽  
Philippe Garat ◽  
Luc Hamm


2018 ◽  
Vol 45 (13) ◽  
pp. 2394-2410 ◽  
Author(s):  
Deepesh Bhati ◽  
Sreenivasan Ravi


The results of this analysis illustrate three points. First, that for predictions of AIDS cases four to five years into the future, the back projection method is largely insensitive to the assumption one makes for the incubation period distribution. The two extreme distributions considered represent the fast and slow extremes of incubation period distribution usually proposed; distributions that lie between these two give predictions within the range of predictions that the two generate. The estimated number of new HIV infections, however, is highly sensitive to the assumed incubation period distribution; prediction of AIDS cases in the long term will be similarly sensitive.



1996 ◽  
Vol 28 (3) ◽  
pp. 895-932 ◽  
Author(s):  
Ingemar Nåsell

The quasi-stationary distribution of the closed stochastic SIS model changes drastically as the basic reproduction ratio R0 passes the deterministic threshold value 1. Approximations are derived that describe these changes. The quasi-stationary distribution is approximated by a geometric distribution (discrete!) for R0 distinctly below 1 and by a normal distribution (continuous!) for R0 distinctly above 1. Uniformity of the approximation with respect to R0 allows one to study the transition between these two extreme distributions. We also study the time to extinction and the invasion and persistence thresholds of the model.



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