Spatio-Temporal Modeling of Rain Rates

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dc.contributor.advisorRoy, Anindya
dc.contributor.advisorKundu, Prasun
dc.contributor.authorSiddani, Ravi K.
dc.contributor.departmentMathematics and Statistics
dc.contributor.programStatistics
dc.date.accessioned2015-10-14T03:12:36Z
dc.date.available2015-10-14T03:12:36Z
dc.date.issued2007-11-26
dc.description.abstractModeling episodes of heavy rain is an important component of hydrological studies. Based on the analysis of ship-borne radar data over the tropical ocean, we propose a new class of probability densities that capture the frequency of heavy rain occurrences. This density is constructed by inverting the characteristic function constructed from the moments computed at both integral and fractional orders, for all spatial scales. We demonstrate an improvement over the conventional log-normal distribution at explaining the behavior of intense rain events, and successfully explain the multiscaling characteristics of the rain field. An important assumption in the analysis of space-time characteristics of rain fields is isotropy and homogeneity. We test the equality of spectral densities at multiple locations in a non-parametric setting using the data periodograms. The efficacy of our methodology is demonstrated through simulation, and the theoretical properties of the proposed test statistic are examined. We establish the fact that the test asymptotically maintains the desired level of significance and is consistent at any alternative, and apply our methodology to real life rain rate data set taken from a network of rain gauges in Melbourne, South Florida. This research was supported by a NASA grant under the Precipitations Measurement Missions (PMM) program.
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dc.identifierdoi:10.13016/M2Q688
dc.identifier.other1091
dc.identifier.urihttp://hdl.handle.net/11603/1022
dc.languageen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Theses and Dissertations Collection
dc.relation.ispartofUMBC Graduate School Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Mathematics and Statistics Department Collection
dc.rightsThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please see http://aok.lib.umbc.edu/specoll/repro.php or contact Special Collections at speccoll(at)umbc.edu.
dc.sourceOriginal File Name: umi-umbc-1091.pdf
dc.subjectInfinitely divisible distributions
dc.subjectMultiscaling
dc.subjectSpatio-temporal homogeneity
dc.subjectWhittle Likelihood
dc.subjectContiguity
dc.subjectPeriodogram
dc.subjectStatistics (0463)
dc.subjectMathematics (0405)
dc.subjectPhysics, Atmospheric Science (0608)
dc.titleSpatio-Temporal Modeling of Rain Rates
dc.typeText
dcterms.accessRightsAccess limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan through a local library, pending author/copyright holder's permission.

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