Kolmogorov-Smirnov Test for Two-Dimensional Data

Press, W. H.; Teukolsky, Saul A.

doi:10.1063/1.4822753

Cited by 48 publications

(33 citation statements)

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“…One obvious difference between the two samples is our inclusion of lower luminosity objects. A K-S test for two-dimensional data (Press & Teukolsky 1988) finds that the distribution of z, log l 0 values differ between the current sample and that of AT86 (0.2% of a chance occurrence).…”

Section: Object Selectionmentioning

confidence: 99%

The Einstein database of IPC x-ray observations of optically selected and radio-selected quasars, 1.

Wilkes¹,

Tananbaum²,

Worrall³

et al. 1994

ApJS

202

196

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We present the first volume of the Einstein quasar database. The database includes estimates of the X-ray count rates, fluxes, and luminosities for 514 quasars and Seyfert 1 galaxies observed with the Imaging Proportional Counter (IPC) aboard the Einstein Observatory. All were previously known optically selected or radio-selected objects, and most were the targets of the X-ray observations. The X-ray properties of the AGNs have been derived by reanalyzing the IPC data in a systematic manner to provide a uniform database for general use by the astronomical community. We use the database to extend earlier quasar luminosity studies which were made using only a subset of the currently available data. The database can be accessed on internet via the SAO Einstein on-line system ("Einline") and is available in ASCII format on magnetic tape and DOS diskette.

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Section: Object Selectionmentioning

confidence: 99%

The Einstein database of IPC x-ray observations of optically selected and radio-selected quasars, 1.

Wilkes¹,

Tananbaum²,

Worrall³

et al. 1994

ApJS

202

196

View full text Add to dashboard Cite

show abstract

“…1C and E) were normalized to the respecting sample size such that the sum of products of width and height of each column is equal to the total count (33 for in vitro, 100 for in silico). Moreover, the cross validated Kolmogorov-Smirnov test for two-dimensional data (Press and Teukolsky, 1988) showed a significant difference between the first EPSP amplitude against the CV of the first EPSP amplitude for each data set (p = 0.0022; significant if p < 0.2) ( Fig. 1F) demonstrating that both data sets are different.…”

Section: Motivation For Implementing Mvr In the Modelmentioning

confidence: 95%

Estimating the Readily-Releasable Vesicle Pool Size at Synaptic Connections in a Neocortical Microcircuit

Barros-Zulaica

Rahmon

Chindemi

et al. 2019

Preprint

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Previous studies based on the 'Quantal Model' for synaptic transmission suggested that neurotransmitter release is mediated by a single release site at individual synaptic contacts in the neocortex. However, recent studies seem to contradict this hypothesis and indicate that multi-vesicular release (MVR) could better explain the synaptic response variability observed in vitro. In this study we present a novel method to estimate the number of release sites per synapse, also known as the size of the readily-releasable pool (NRRP), from paired whole-cell recordings of layer 5 thick tufted pyramidal cell (L5_TTPC) connections in the somatosensory neocortex. Our approach extends the work of Loebel and colleagues to take advantage of a recently reported data-driven biophysical model of neocortical tissue. Using this approach, we estimated NRRP to be between two to three for connections between L5-TTPC. To constrain NRRP values for other connections in the microcircuit, we developed and validated a generalization approach using data on post-synaptic potential (PSP) coefficient of variations (CVs) from literature and matching to in silico experiments. Our study shows that synaptic connections in the neocortex generally are mediated by MVR and provides a data-driven approach to constrain the MVR model parameters of the microcircuit.

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“…By contrast, non-occurrences are more widely scattered in parameter space. A two-dimensional Kolmogorov-Smirnov test (Press and Teukolsky, 1988) gives a vanishingly small probability (∼ 10 −72 ) that such differences would be observed if the data were drawn from the same distribution.…”

Section: Sea Breeze Prediction Using Mogreps-gmentioning

confidence: 99%

The added value of convection‐permitting ensemble forecasts of sea breeze compared to a Bayesian forecast driven by the global ensemble

Cafaro

Frame

Methven

et al. 2019

Quart J Royal Meteoro Soc

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Dynamical downscaling of ensemble forecasts to convection‐permitting resolutions aims to improve forecast skill by explicitly resolving mesoscale dynamical features. The success of this approach is dependent on the ability of the model to spin up smaller features embedded in the larger‐scale flow and provide more local information than could be inferred from knowledge of the climatological response to the large‐scale flow alone. Here we test whether such additional information is obtained from the Met Office Global and Regional Ensemble Prediction Systems (MOGREPS) for the sea‐breeze phenomenon which is resolved properly only at convection‐permitting resolutions but is driven by large‐sale conditions that are well represented in the global driving model. The sea breeze is detected using a new automatic tracking algorithm suitable for use in convective‐scale forecast data. The skill of probabilistic forecasts of sea‐breeze occurrence from the high‐resolution ensemble is compared to that of a Bayesian forecast trained on paired high/low‐resolution ensemble members. This creates a statistical forecast of the high‐resolution ensemble member given knowledge of the global forecast ensemble alone. The aim of this paper is twofold: firstly to assess whether the information about sea‐breeze occurrence is encoded in a few large‐scale parameters and can be forecast by a statistical method, and secondly to estimate what information is gained by running the high‐resolution forecast beyond that which is contained in these large‐scale flow parameters. Comparison of the two forecasting methods using a variety of verification methods all lead to the same conclusion: although both the Bayesian forecast and convection‐permitting ensemble provide information about sea‐breeze occurrence, the convection‐permitting ensemble is significantly more able to discriminate between sea‐breeze events and non‐events for all lead times.

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Kolmogorov-Smirnov Test for Two-Dimensional Data

Cited by 48 publications

References 0 publications

The Einstein database of IPC x-ray observations of optically selected and radio-selected quasars, 1.

The Einstein database of IPC x-ray observations of optically selected and radio-selected quasars, 1.

Estimating the Readily-Releasable Vesicle Pool Size at Synaptic Connections in a Neocortical Microcircuit

The added value of convection‐permitting ensemble forecasts of sea breeze compared to a Bayesian forecast driven by the global ensemble

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