Current Search: Functions of real variables. (x)
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Title
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Convergence in measure with speed.
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Creator
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Petrus, Cass Apollo., Harriet L. Wilkes Honors College
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Abstract/Description
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Definitions of convergence range from very strong (such as the concept of uniform convergence) to weaker and weaker versions like convergence in measure. We shall give a background in integration, measure theory, and convergence; then we move on to define convergence in measure with speed. We define three versions of convergence in measure with speed with an inner speed factor, an outer speed factor, and one with both speed factors. We then give examples of functions that fall under each of...
Show moreDefinitions of convergence range from very strong (such as the concept of uniform convergence) to weaker and weaker versions like convergence in measure. We shall give a background in integration, measure theory, and convergence; then we move on to define convergence in measure with speed. We define three versions of convergence in measure with speed with an inner speed factor, an outer speed factor, and one with both speed factors. We then give examples of functions that fall under each of these categories and prove important results relating convergence in measure with speed to existing definitions.
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Date Issued
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2006
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PURL
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http://purl.flvc.org/FAU/11585
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Subject Headings
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Mathematical analysis, Functions of real variables, Convergence (Mathematics)
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Format
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Document (PDF)
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Title
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Assessment of Changes in Precipitation Data Characteristics due to Infilling by Spatially Interpolated Estimates.
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Creator
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Hachmi, Mohammad, Teegavarapu, Ramesh, Florida Atlantic University, College of Engineering and Computer Science, Department of Civil, Environmental and Geomatics Engineering
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Abstract/Description
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Spatial and temporal interpolation methods are commonly used methods for estimating missing precipitation rain gauge data based on values recorded at neighboring gauges. However, these interpolation methods have not been comprehensively checked for their ability to preserve time series characteristics. Assessing the preservation of time series characteristics helps achieving a threshold criteria of length of gaps in a data set that is acceptable to be filled. This study evaluates the efficacy...
Show moreSpatial and temporal interpolation methods are commonly used methods for estimating missing precipitation rain gauge data based on values recorded at neighboring gauges. However, these interpolation methods have not been comprehensively checked for their ability to preserve time series characteristics. Assessing the preservation of time series characteristics helps achieving a threshold criteria of length of gaps in a data set that is acceptable to be filled. This study evaluates the efficacy of optimal weighting interpolation for estimation of missing data in preserving time series characteristics. Rain gauges in the state of Kentucky are used as a case study. Several model performance measures are also evaluated to validate the filling model; followed by time series characteristics to evaluate the accuracy of estimation and preservation of precipitation data characteristics. This study resulted in a definition of region-specific threshold of the maximum length of gaps allowed in a data set at five percent.
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Date Issued
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2016
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PURL
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http://purl.flvc.org/fau/fd/FA00004783, http://purl.flvc.org/fau/fd/FA00004783
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Subject Headings
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Precipitation (Meteorology), Spatial analysis (Statistics), Geographic information systems--Mathematical models., Climatic changes--Environmental aspects., Functions of real variables.
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Format
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Document (PDF)
