Online citations, reference lists, and bibliographies.
← Back to Search

An Extension To The Revised Approach In The Assessment Of Informational Entropy

T. Baran, N. Harmancioglu, C. P. Cetinkaya, Filiz Barbaros
Published 2017 · Computer Science

Save to my Library
Download PDF
Analyze on Scholarcy Visualize in Litmaps
Share
Reduce the time it takes to create your bibliography by a factor of 10 by using the world’s favourite reference manager
Time to take this seriously.
Get Citationsy
This study attempts to extend the prevailing definition of informational entropy, where entropy relates to the amount of reduction of uncertainty or, indirectly, to the amount of information gained through measurements of a random variable. The approach adopted herein describes informational entropy not as an absolute measure of information, but as a measure of the variation of information. This makes it possible to obtain a single value for informational entropy, instead of several values that vary with the selection of the discretizing interval, when discrete probabilities of hydrological events are estimated through relative class frequencies and discretizing intervals. Furthermore, the present work introduces confidence limits for the informational entropy function, which facilitates a comparison between the uncertainties of various hydrological processes with different scales of magnitude and different probability structures. The work addresses hydrologists and environmental engineers more than it does mathematicians and statisticians. In particular, it is intended to help solve information-related problems in hydrological monitoring design and assessment. This paper first considers the selection of probability distributions of best fit to hydrological data, using generated synthetic time series. Next, it attempts to assess hydrometric monitoring duration in a netwrok, this time using observed runoff data series. In both applications, it focuses, basically, on the theoretical background for the extended definition of informational entropy. The methodology is shown to give valid results in each case.
This paper references
10.1103/PHYSREV.106.620
Information Theory and Statistical Mechanics
E. Jaynes (1957)
10.2307/2344306
Einführung in Die Mathematischen Grundlagen der Informationstheorie
E. Schultze (1969)
Information theory with applications
S. Guiasu (1977)
10.1103/REVMODPHYS.50.221
General properties of entropy
A. Wehrl (1978)
Measuring the Information Content of Hydrological Processes by the Entropy Concept
N. B. Harmancioglu (1981)
10.1007/BF00046910
Papers on probability, statistics and statistical physics
E. Jaynes (1983)
Entropy concept as used in determination of optimal sampling intervals
N. Harmancioglu (1984)
Measures of information transfer between variables
N. B. Harmancioglu (1985)
10.1016/0022-1694(87)90131-4
Transfer of hydrologic information among river points
N. Harmancioglu (1987)
Entropy and Civil Engineering Optimization. In Optimization and Artificial Intelligence in Civil and Structural Engineering; NATO ASI Series (Series E: Applied Sciences)
A. B. Templeman (1989)
10.1111/J.1752-1688.1992.TB03163.X
WATER QUALITY MONITORING NETWORK DESIGN: A PROBLEM OF MULTI‐OBJECTIVE DECISION MAKING
N. Harmancioglu (1992)
10.1007/978-94-011-2430-0_2
A HISTORICAL PERSPECTIVE OF ENTROPY APPLICATIONS IN WATER RESOURCES
V. Singh (1992)
10.1007/978-94-011-2430-0_4
VERSATILE USES OF THE ENTROPY CONCEPT IN WATER RESOURCES
N. Harmancioglu (1992)
10.1007/978-94-017-2490-6
Optimization and Artificial Intelligence in Civil and Structural Engineering
B. H. V. Topping (1992)
10.1007/978-94-017-2490-6_7
Entropy and Civil Engineering Optimization
A. Templeman (1992)
10.1029/92WR02332
An entropy‐based morphological analysis of river basin networks
M. Fiorentino (1993)
10.2166/WST.1994.0510
Basic approaches in design of water quality monitoring networks
N. Harmancioglu (1994)
10.1007/978-94-017-3083-9_11
Assessment of the Entropy Principle as Applied to Water Quality Monitoring Network Design
N. Harmancioglu (1994)
10.1007/978-94-017-3083-9_13
An Entropy-Based Approach to Station Discontinuance
N. Harmancioglu (1994)
Assessment of Entropy Principle as Applied to Water Quality Monitoring Network Design. In Stochastic and Statistical Methods in Hydrology and Environmental Engineering; Water Science and Technology
N. Harmancioglu (1994)
Basic Approaches to Design of Water Quality Monitoring Networks; Water Science and Technology
N. B. Harmancioglu (1994)
10.1002/(SICI)1099-1085(199705)11:6<587::AID-HYP479>3.0.CO;2-P
THE USE OF ENTROPY IN HYDROLOGY AND WATER RESOURCES
V. P. Singh (1997)
10.2307/1271368
Statistical learning theory
V. Vapnik (1998)
Environmental Data Management; Water Science and Technology Library; Kluwer Academic Publishers: Dordrecht
N. B. Harmancioglu (1998)
Entropy in Environmental and Water Resources. In Encyclopedia of Hydrology and Water Resources; Herschy, R.W., Fairbridge, R.W., Eds.; Kluwer Academic Publishers: Dordrecht
N. Harmancioglu (1998)
Statistical Learning Theory; Wiley Interscience
V. N. Vapnik (1998)
Environmental Data Management; Water Science and Technology Library
N B Harmancioglu (1998)
Water Quality Monitoring Network Design; Water Science and Technology Library; Kluwer Academic Publishers: Dordrecht
N. B. Harmancioglu (1999)
Water Quality Monitoring Network Design; Water Science and Technology Library
N B Harmancioglu (1999)
10.1002/1521-3978(200008)48:8<747::AID-PROP747>3.0.CO;2-T
On a Quantum Version of Shannon's Conditional Entropy
R. Schrader (2000)
10.1061/(asce)1084-0699(2000)5:1(90)
Entropy-Based Assessment of Water Quality Monitoring Networks
Sevinç Özkul (2001)
10.1007/978-3-540-36212-8_15
The Entropy Theory as a Decision Making Tool in Environmental and Water Resources
V. P. Singh (2003)
10.1007/978-94-010-0231-8_10
Entropy-based design considerations for water quality monitoring networks
N. Harmancioglu (2003)
Transfer Of Information Among Water Quality Monitoring Sites: Assessment By An Optimization Method
N. Harmancioglu (2004)
10.1007/BF02984767
The mathematical theory of information
Cristian S. Calude (2007)
An entropy approach for diagnostic checking in time series analysis
T. Baran (2007)
Bacanli, Ü.G. An Entropy Approach for Diagnostic Checking in Time Series Analysis
T. Baran (2007)
Environmental Data, Information and Indicators for Natural Resources Management. In Practical Environmental Statistics and Data Analysis; Rong, Y., Ed.; ILM Publications
N. B. Harmancioglu (2011)
KNOWLEDGE FOR SUSTAINABLE DEVELOPMENT
N. V. Belotelov
Entropy in Environmental and Water Resources
N. Harmancioglu
Environmental Data , Information and Indicators for Natural Resources Management
N. B. Harmancioglu
Data Accuracy and Data Validation
N. Harmancioglu



This paper is referenced by
Semantic Scholar Logo Some data provided by SemanticScholar