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On the meaning of randomness in stochastic environmental models
Author(s) -
Zielinski Przemyslaw A.
Publication year - 1991
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/91wr00319
Subject(s) - randomness , stochastic modelling , stochastic process , stochastic differential equation , continuous time stochastic process , mathematics , process (computing) , random variable , variable (mathematics) , meaning (existential) , computer science , mathematical optimization , statistical physics , econometrics , statistics , mathematical analysis , epistemology , operating system , physics , philosophy
This paper describes and explains the differences between two different approaches toward stochastic water quality modeling. Two groups of models, namely, models based on differential equations with coefficients being either random variables (random variable models) or stochastic processes (stochastic process models), are analyzed. The reasoning behind these two approaches is discussed and a numerical example illustrating the possible consequences in estimating stochastic characteristics of the solution process using either of these two approaches is presented and discussed.