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Stochastic Storage Processes With Multiple Slope Linear Inputs And Outputs

Stochastic Storage Processes with Multiple Slope Linear Inputs and Outputs PDF
Author: Stanford University. Department of Statistics
Publisher:
ISBN:
Size: 36.27 MB
Format: PDF
Category : Probabilities
Languages : en
Pages : 67
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Let X(t) be the level of the storage process at time t; X(0) = 0. Starting at time 0, the level X(t) increases linearly with slope s sub i for a random length of time (the input period) after which it decreases linearly with slope g sub j for a random time (the output period). Subsequently, the process continues to alternate between periods of input and output where the input-output transitions are governed by a transition matrix P, and the output-input transitions by Q. For each input slope i and output slope j, there corresponds an input period distribution F sub i and an output period distribution M sub j which is exponential. When the zero level is a positive recurrent state, the steady state joint distributions of the level of the process and the slope is obtained. The means of these distributions are determined. The mean nonempty period is also determined. When the zero level is a transient state, the limiting distribution of the storage level is obtained.

Stochastic And Statistical Methods In Hydrology And Environmental Engineering Stochastic And Statistical Modelling With Groundwater And Surface Water Applications

Stochastic and Statistical Methods in Hydrology and Environmental Engineering Stochastic and statistical modelling with groundwater and surface water applications PDF
Author: Keith W. Hipel
Publisher: Springer Science & Business Media
ISBN: 9780792327578
Size: 45.50 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 372
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World renowned scientists present valuable contributions to stochastic and statistical modelling of groundwater and surface water systems. The philosophy of probabilistic modelling in the hydrological sciences is put into proper perspective and the importance of stochastic differential equations in the environmental sciences is explained and illustrated. The new research ideas put forward in groundwater modelling will assist decision makers in tackling challenging problems such as controlling pollution of underground aquifers and obtaining adequate water supplies. Additionally, different types of stochastic models are used in modelling a range of interesting surface water problems. Other topics covered in this landmark volume include stochastic optimization, moment analysis, carbon dioxide modelling and rainfall prediction. Audience The book is of interest to researchers, teachers, students and practitioners who wish to be at the leading edge of stochastic and statistical modelling in the environmental sciences.

Stochastic Processes In Hydrology

Stochastic Processes in Hydrology PDF
Author: Vujica M. Yevjevich
Publisher: Water Resources Publications, LLC
ISBN:
Size: 23.37 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 276
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Size: 61.45 MB
Format: PDF, ePub, Docs
Category : Aeronautics
Languages : en
Pages :
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Physics Briefs

Physics Briefs PDF
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Size: 67.21 MB
Format: PDF
Category : Physics
Languages : en
Pages :
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Mathematical Reviews

Mathematical Reviews PDF
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Size: 46.87 MB
Format: PDF
Category : Mathematics
Languages : en
Pages :
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