Systems of frequency distributions for water and environmental engineering Academic Article

abstract

• 2018 A wide spectrum of frequency distributions are used in hydrologic, hydraulic, environmental and water resources engineering. These distributions may have different origins, are based on different hypotheses, and belong to different generating systems. Review of literature suggests that different systems of frequency distributions employed in science and engineering in general and environmental and water engineering in particular have been derived using different approaches which include (1) differential equations, (2) distribution elasticity, (3) genetic theory, (4) generating functions, (5) transformations, (6) Bessel function, (7) expansions, and (8) entropy maximization. This paper revisits these systems of distributions and discusses the hypotheses that are used for deriving these systems. It also proposes, based on empirical evidence, another general system of distributions and derives a number of distributions from this general system that are used in environmental and water engineering.

authors

• Singh, Vijay

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

author list (cited authors)

• Singh, V. P.

citation count

• 6

complete list of authors

• Singh, Vijay P

publication date

• September 2018

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Bessel Function
• Differential Equations
• Distribution Elasticity
• Frequency Distributions
• Generating Functions
• Transformations

Digital Object Identifier (DOI)

• 10.1016/j.physa.2018.03.038

start page

• 50

end page

• 74

volume

• 506

URL

• http://dx.doi.org/10.1016/j.physa.2018.03.038