scholarly journals Mandelbrot's Stochastic Time Series Models

2019 ◽  
Vol 6 (11) ◽  
pp. 2044-2056 ◽  
Author(s):  
N. W. Watkins
1992 ◽  
Vol 24 (1) ◽  
pp. 219-220 ◽  
Author(s):  
H. Tong ◽  
B. Cheng

We have furnished further examples on the connection between some standard one-dimensional chaotic deterministic models and stochastic time series models via time reversal.


1999 ◽  
Vol 104 (2-3) ◽  
pp. 179-189 ◽  
Author(s):  
Mostafa S. Aminzadeh

1984 ◽  
Vol 16 (4) ◽  
pp. 513-527 ◽  
Author(s):  
G L Clark

Apart from occasional anecdotal observation, there has been little systematic study of the patterns of local inflation. The strongest theoretical argument is that local price inflation should be no different from national inflation. Alternatively, it has been suggested that spatial price equilibrium is implausible and that spatial price interdependence is more likely. Quarterly data for some sixteen large US urban areas over the period 1950–1980, are analyzed via stochastic time-series models. It is concluded in this paper that, although inflation does vary, if only slightly, between cities and with respect to the nation, in some instances national inflation may fairly represent local inflation.


1995 ◽  
Vol 32 (04) ◽  
pp. 1063-1076 ◽  
Author(s):  
J. Gani ◽  
Sid Yakowitz

The computer age and the phenomenological complexity of the AIDS/HIV epidemic have engendered a rich profusion of deterministic and stochastic time series models for the development of an epidemic. The present study examines the reliability of deterministic approximations of fundamentally random processes. Through numerical analysis and probabilistic considerations, we derive absolute and simultaneous confidence interval bounding techniques, and offer a practical procedure based on these developments. A heartening aspect of the computational study presented at the close of this paper indicates that when the population size is in the thousands, the deterministic version to the classical logistic epidemic is a good approximation.


1992 ◽  
Vol 24 (01) ◽  
pp. 219-220 ◽  
Author(s):  
H. Tong ◽  
B. Cheng

We have furnished further examples on the connection between some standard one-dimensional chaotic deterministic models and stochastic time series models via time reversal.


1995 ◽  
Vol 32 (4) ◽  
pp. 1063-1076 ◽  
Author(s):  
J. Gani ◽  
Sid Yakowitz

The computer age and the phenomenological complexity of the AIDS/HIV epidemic have engendered a rich profusion of deterministic and stochastic time series models for the development of an epidemic. The present study examines the reliability of deterministic approximations of fundamentally random processes. Through numerical analysis and probabilistic considerations, we derive absolute and simultaneous confidence interval bounding techniques, and offer a practical procedure based on these developments. A heartening aspect of the computational study presented at the close of this paper indicates that when the population size is in the thousands, the deterministic version to the classical logistic epidemic is a good approximation.


2017 ◽  
Vol 8 (15) ◽  
pp. 137-146
Author(s):  
امید بابامیری ◽  
حامد نوذری ◽  
صفر معروفی ◽  
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