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- W205532067 abstract "The Kolmogorov-Smirnov (K-S) statistic is widely used to test the null hypothesis (i.e., are two distributions drawn from the same population?). In detrital zircon provenance analysis of river systems, it is useful to have an equivalent statistical measure for comparisons involving composite samples that collectively represent the contributions of tributaries to regionally extensive river systems. We present a generalized K-S statistic that depends on the proportional contribution and sample size of individual distributions as well as the correlation between the respective individual populations. Our generalized K-S statistic may be generally applied to analyze any type of one dimensional data and can be calculated from either error weighted distributions (i.e., cumulative probability density functions) or raw data series (i.e., cumulative distribution functions). Analytical expressions are provided for end member cases in which the individual populations are either completely independent or identical. Although intermediate cases must still be tested by numerical analysis, the bounding end members generally tightly constrain all possible solutions and thus permit conservative evaluation of the null hypothesis. We demonstrate how the generalized K-S statistic can be used with an example from the modern Marsyandi River (central Nepal Himalaya) river system. Our results clarify the manner in which in which detrital zircon age distributions from tectonically active areas may be used to constrain key parameters such as erosion rates within the catchment of major rivers." @default.
- W205532067 created "2016-06-24" @default.
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- W205532067 date "2008-12-01" @default.
- W205532067 modified "2023-09-23" @default.
- W205532067 title "A Generalized Kolmogorov-Smirnov Statistic for Detrital Zircon Analysis of Modern Rivers" @default.
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