Abstract
Using the properties of compound Poisson process and its fractional generalizations, statistical models of geophysical fields variability are considered on an example of hydrochemical parameters system. These models are universal to describe objects of different nature and allow us to explain various pulsing regime. Manifestations of non-conservatism in hydrochemical parameters system and the advantages of the system approach in the description of geophysical fields variability are discussed.
Highlights
Universal character and wide use of power laws in nature are associated with the fundamental summation of identically distributed random variables and the law of large numbers
Two regions are notable in the concentration range of 10−4 − 3.3 × 104 mg/kg, they are: with ρ< 10 2 mg/kg for non-conservative parameters and with ρ>102mg/kg for conservative ones
In our statistical model of hydrochemical parameter system behavior, we take into account the main factors of variability responsible for parameters fluctuations
Summary
Universal character and wide use of power laws in nature are associated with the fundamental summation of identically distributed random variables and the law of large numbers. We consider the dependence σi(x, t) on average values of parameter concentrations ρi(x, t). In our statistical model of hydrochemical parameter system behavior, we take into account the main factors of variability responsible for parameters fluctuations. In this paper we consider a case when a sum ρi(x, t) = ∆ρi(x, tk) of independent random increk=0 ments ∆ρi(x, tk) with distribution p(∆ρi) is a compound (generalized) Poisson process.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
