[1] |
AtyeoJ, WalshawD. 2012. A region‐based hierarchical model for extreme rainfall over the UK, incorporating spatial dependence and temporal trend. Environmetrics23(6): 509-521. |
[2] |
BanerjeeS, CarlinBP, GelfandAE. 2003. Hierarchical Modeling and Analysis for Spatial Data, Chapman & Hall/CRC Monographs on Statistics & Applied Probability. Taylor & Francis: Boca Raton, Florida. |
[3] |
BrackenC, RajagopalanB, ChengL, KleiberW, GangopadhyayS. 2016. Spatial Bayesian hierarchical modeling of precipitation extremes over a large domain ArXiv e‐prints arXiv:1512.08560v2 [stat.ME]. |
[4] |
BrooksSP, RobertsGO. 1998. Convergence assessment techniques for Markov chain Monte Carlo. Statistics and Computing8: 319-335. |
[5] |
ChengL, AghaKouchakA. 2014. Nonstationary precipitation intensity‐duration‐frequency curves for infrastructure design in a changing climate. Scientific Reports4(7093): 1-6. |
[6] |
ColesS. 2001. An Introduction to Statistical Modeling of Extreme Values, Lecture Notes in Control and Information Sciences. Springer: London. · Zbl 0980.62043 |
[7] |
CooleyD, NychkaD, NaveauP. 2007. Bayesian spatial modeling of extreme precipitation return levels. Journal of the American Statistical Association102(479): 824-840. · Zbl 1469.62389 |
[8] |
CooleyD, SainSR. 2012. Discussion of “Statistical Modeling of Spatial Extremes” by A. C. Davison, S. A. Padoan and M. Ribatet. Statistical Science27(2): 187-188. · Zbl 1330.86020 |
[9] |
DavisonAC, PadoanS, RibatetM. 2012. Statistical modelling of spatial extremes. Statistical Science27(2): 161-186. · Zbl 1330.86021 |
[10] |
DyrrdalAV, LenkoskiA, ThorarinsdottirTL, StordalFrode. 2015. Bayesian hierarchical modeling of extreme hourly precipitation in Norway. Environmetrics26(2): 89-106. · Zbl 1525.62105 |
[11] |
EvansJP, JiF, LeeC, SmithP, ArgüesoD, FitaL. 2014. Design of a regional climate modelling projection ensemble experiment-NARCliM. Geoscientific Model Development7(2): 621-629. |
[12] |
EvansJP, McCabeMF. 2010. Regional climate simulation over Australia’s Murray‐Darling basin: a multitemporal assessment. Journal of Geophysical Research: Atmospheres115(D14): 1-15. |
[13] |
EvansJP, McCabeMF. 2013. Effect of model resolution on a regional climate model simulation over southeast Australia. Climate Research56(2): 131-145. |
[14] |
Garcia‐BartualR, SchneiderM. 2001. Estimating maximum expected short‐duration rainfall intensities from extreme convective storms. Physics and Chemistry of the Earth, Part B: Hydrology, Oceans and Atmosphere26(9): 675-681. |
[15] |
GeirssonÓP, HrafnkelssonB, SimpsonD. 2015. Computationally efficient spatial modeling of annual maximum 24‐h precipitation on a fine grid. Environmetrics26(5): 339-353. · Zbl 1525.62120 |
[16] |
GhoshS, MallickBK. 2011. A hierarchical Bayesian spatio‐temporal model for extreme precipitation events. Environmetrics22(2): 192-204. |
[17] |
GreenJ, JohnsonF, XuerebK, TheC, MooreG. 2012. Revised intensity‐frequency‐duration (IFD) design rainfall estimates for Australia ‐ An overview: Sydney, Australia. |
[18] |
HershfieldDM. 1961. Rainfall frequency atlas of the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years. Weather Bureau Technical Paper 40, U.S. Department of Commerce. Washington, D.C. |
[19] |
HershfieldDM, WilsonWT. 1958. Generalizing of rainfall intensity‐frequency data. IUGG/IAHS Publication43: 499-506. |
[20] |
HoskingJrm, WallisJR. 2005. Regional Frequency Analysis: An Approach Based on L‐Moments. Cambridge University Press: New York. |
[21] |
IPCC. 2013. Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press: Cambridge, United Kingdom and New York, NY, USA. pp. 1535. |
[22] |
KoutsoyiannisD, KozonisD, ManetasA. 1998. A mathematical framework for studying rainfall intensity‐duration‐frequency relationships. Journal of Hydrology206(1): 118-135. |
[23] |
LehmannEA, PhatakA, SoltykS, ChiaJ, LauR, PalmerM. 2013. Bayesian hierarchical modelling of rainfall extremes: Adelaide, Australia. |
[24] |
MullerA, BacroJ‐N, LangM. 2008. Bayesian comparison of different rainfall depth‐duration‐frequency relationships. Stochastic Environmental Research and Risk Assessment22(1): 33-46. · Zbl 1169.62397 |
[25] |
NadarajahS, AndersonCW, TawnJA. 1998. Ordered multivariate extremes. Journal of the Royal Statistical Society: Series B (Statistical Methodology)60(2): 473-496. · Zbl 0910.62054 |
[26] |
PeckA, ProdanovicP, SimonovicSPP. 2012. Rainfall intensity duration frequency curves under climate change: City of London, Ontario, Canada. Canadian Water Resources Journal / Revue canadienne des ressources hydriques37(3): 177-189. |
[27] |
PilgrimDH. 1997. Australian Rainfall and Runoff: A Guide to Flood Estimation. Institution of Engineers, Australia: Barton, ACT, Australia. |
[28] |
RobertCR, CasellaG. 2010. Introducing Monte Carlo Methods with R. Springer: New York, NY. · Zbl 1196.65025 |
[29] |
RobinsonM, TawnJ. 2000. Extremal analysis of processes sampled at different frequencies. Journal of the Royal Statistical Society: Series B (Statistical Methodology)62(1): 117-135. · Zbl 0976.62093 |
[30] |
SangH, GelfandAE. 2010. Continuous spatial process models for spatial extreme values. Journal of Agricultural, Biological, and Environmental Statistics15(1): 49-65. · Zbl 1306.62334 |
[31] |
SrivastavRK, SchardongA, SimonovicSP. 2014. Equidistance quantile matching method for updating IDF curves under climate change. Water Resources Management28(9): 2539-2562. |
[32] |
StephensonAG. 2016. Bayesian inference for extreme value modelling. Chapman & Hall/CRC: Boca Raton, Florida. |
[33] |
StephensonAG, LehmannEA, PhatakA. 2016. A max‐stable process model for rainfall extremes at different accumulation durations. Submitted to Weather and Climate Extremes (under revision). |
[34] |
Van de VyverH. 2012. Spatial regression models for extreme precipitation in Belgium. Water Resources Research48(9): 1-17. |
[35] |
Van de VyverH. 2015. Bayesian estimation of rainfall intensity‐duration‐frequency relationships. Journal of Hydrology529(3): 1451-1463. |
[36] |
vanMontfortMAJ. 1997. Concomitants of the Hershfield factor. Journal of Hydrology194: 357-365. |
[37] |
WangY, SoM. 2016. A Bayesian hierarchical model for spatial extremes with multiple durations. Computational Statistics and Data Analysis95: 39-56. · Zbl 1468.62207 |
[38] |
YilmazAG, HossainI, PereraBJC. 2014. Effect of climate change and variability on extreme rainfall intensity‐frequency‐duration relationships: a case study of Melbourne. Hydrology and Earth System Sciences18(10): 4065-4076. |