Parameter estimation of beta distribution for unit hydrograph derivation
(2004) In Journal of Hydrologic Engineering 9(4). p.325-332- Abstract
- Traditionally used methods for developing a synthetic unit hydrograph (SUH) are well known for their limitations. In last few decades, use of probability distribution functions in developing SUHs has received much attention. In this study, the potentials of a three-parameter beta distribution are explored. Using a analogy between the three-parameter beta-distribution shape and the SUH shape, approaches are developed to evaluate the unknown parameters. Based on nondimensional analysis and optimization, a simple accurate relation is introduced to estimate the three parameters of the beta distribution that is useful for unit hydrograph derivation. The relation yields results closer to those obtained by an available trial and error procedure.... (More)
- Traditionally used methods for developing a synthetic unit hydrograph (SUH) are well known for their limitations. In last few decades, use of probability distribution functions in developing SUHs has received much attention. In this study, the potentials of a three-parameter beta distribution are explored. Using a analogy between the three-parameter beta-distribution shape and the SUH shape, approaches are developed to evaluate the unknown parameters. Based on nondimensional analysis and optimization, a simple accurate relation is introduced to estimate the three parameters of the beta distribution that is useful for unit hydrograph derivation. The relation yields results closer to those obtained by an available trial and error procedure. The unit hydrographs from the proposed method fit observed hydrographs better than those from the widely used two-parameter gamma distribution. The potential of the approach is demonstrated using data from different catchments lying within and outside India. The methodology is found to work consistently better in most cases. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/273833
- author
- Bhunya, PK ; Mishra, SK ; Ojha, CSP and Berndtsson, Ronny LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- probability distribution, parameters, hydrographs, optimization
- in
- Journal of Hydrologic Engineering
- volume
- 9
- issue
- 4
- pages
- 325 - 332
- publisher
- American Society of Civil Engineers (ASCE)
- external identifiers
-
- wos:000222250100010
- scopus:3242685301
- ISSN
- 1084-0699
- DOI
- 10.1061/(ASCE)1084-0699(2004)9:4(325)
- language
- English
- LU publication?
- yes
- id
- b7de5c5b-a5b3-477b-b234-fa0284677e6b (old id 273833)
- date added to LUP
- 2016-04-01 17:00:34
- date last changed
- 2022-09-06 18:13:12
@article{b7de5c5b-a5b3-477b-b234-fa0284677e6b, abstract = {{Traditionally used methods for developing a synthetic unit hydrograph (SUH) are well known for their limitations. In last few decades, use of probability distribution functions in developing SUHs has received much attention. In this study, the potentials of a three-parameter beta distribution are explored. Using a analogy between the three-parameter beta-distribution shape and the SUH shape, approaches are developed to evaluate the unknown parameters. Based on nondimensional analysis and optimization, a simple accurate relation is introduced to estimate the three parameters of the beta distribution that is useful for unit hydrograph derivation. The relation yields results closer to those obtained by an available trial and error procedure. The unit hydrographs from the proposed method fit observed hydrographs better than those from the widely used two-parameter gamma distribution. The potential of the approach is demonstrated using data from different catchments lying within and outside India. The methodology is found to work consistently better in most cases.}}, author = {{Bhunya, PK and Mishra, SK and Ojha, CSP and Berndtsson, Ronny}}, issn = {{1084-0699}}, keywords = {{probability distribution; parameters; hydrographs; optimization}}, language = {{eng}}, number = {{4}}, pages = {{325--332}}, publisher = {{American Society of Civil Engineers (ASCE)}}, series = {{Journal of Hydrologic Engineering}}, title = {{Parameter estimation of beta distribution for unit hydrograph derivation}}, url = {{http://dx.doi.org/10.1061/(ASCE)1084-0699(2004)9:4(325)}}, doi = {{10.1061/(ASCE)1084-0699(2004)9:4(325)}}, volume = {{9}}, year = {{2004}}, }