A truncated inverted beta distribution with application to air pollution data

Stochastic Environmental Research and Risk Assessment

Volumn 22, Issue 2, 2008, Pages 285-289

  Nadarajah, Saralees ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE MOMENTS; INVERTED BETA DISTRIBUTIONS;

HYDROLOGY; MATHEMATICAL MODELS; OZONE; STATISTICAL METHODS;

AIR POLLUTION;

ATMOSPHERIC POLLUTION; HYDROLOGY; MODELING; STATISTICAL DISTRIBUTION;

NEW YORK [UNITED STATES]; NORTH AMERICA; UNITED STATES;

EID: 37449029272     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-007-0120-7     Document Type: Article

References (21)

1. Camporeale C, Ridolfi L (2006) Riparian vegetation distribution induced by river flow variability: A stochastic approach. Water Resour Res 42:W10415. doi: 10.1029/2006WR004933
2. Chatwin PC, Lewis DM, Sullivan PJ (1995) Turbulent dispersion and the beta-distribution. Environmetrics 6:395-402
3. Cooley RL (1993) Exact Scheffe-type confidence-intervals for output from groundwater-flow models. 1. Use of hydrogeologic information. Water Resour Res 29:17-33
4. Dennis JE, Schnabel RB (1983) Numerical methods for unconstrained optimization and non-linear equations. Prentice-Hall, Englewood Cliffs
5. Ettoumi FY, Mefti A, Adane A, et al (2002) Statistical analysis of solar measurements in Algeria using beta distributions. Renew Energy 26:47-67
6. Garciaguzman A, Arandaoliver E (1993) A stochastic-model of dimensionless hyetograph. Water Resour Res 29:2363-2370
7. Gottschalk L, Weingartner R (1998) Distribution of peak flow derived from a distribution of rainfall volume and runoff coefficient, and a unit hydrograph. J Hydrol 208:148-162
8. Gradshteyn IS, Ryzhik IM (2000) Table of Integrals, Series, and Products, sixth edition. Academic, San Diego
9. Ihaka R, Gentleman R (1996) R: A language for data analysis and graphics. J Comput Graph Stat 5:299-314
10. Kottegoda NT, Natale L, Raiteri E (2003) A parsimonious approach to stochastic multisite modelling and disaggregation of daily rainfall. J Hydrol 274:47-61
11. Lewis DM, Chatwin PC (1995) A new model pdf for contaminants dispersing in the atmosphere. Environmetrics 6:583-593
12. Merz R, Bloschl G, Parajka J (2006) Spatio-temporal variability of event runoff coefficients. J Hydrol 331:591-604
13. Myers TJ, Swanson S (1997) Stochastic modeling of transect-to-transect properties of Great Basin rangeland streams. Water Resour Res 33:853-864
14. Prudnikov AP, Brychkov YA, Marichev OI (1986) Integrals and series, vol 1-3. Gordon and Breach Science, Amsterdam
15. Ricciardi KL, Pinder GF, Belitz K (2005) Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability. J Hydrol 313:248-256
16. Ryu D, Famiglietti JS (2005) Characterization of footprint-scale surface soil moisture variability using Gaussian and beta distribution functions during the Southern Great Plains 1997 (SGP97) hydrology experiment. Water Resour Res 41, Art. No. W12433
17. Schnabel RB, Koontz JE, Weiss BE (1985) A modular system of algorithms for unconstrained minimization. ACM Trans Math Softw 11:419-440
18. Stagnitti F, Li L, Allinson G et al (1999) A mathematical model for estimating the extent of solute- and water-flux heterogeneity in multiple sample percolation experiments. J Hydrol 215:59-69
19. Sulaiman MY, Oo WH, Abd Wahab M et al (1999) Application of beta distribution model to Malaysian sunshine data. Renew Energy 18:573-579
20. Wald A (1943) Tests of statistical hypotheses concerning several parameters when the number of observations is large. Trans Am Math Soc 54:426-483
21. Wolock DM, Mccabe GJ (1995) Comparison of single and multiple flow direction algorithms for computing topographic parameters in topmodel. Water Resour Res 31:1315-1324