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The Power to See: A New Graphical Test of Normality

Sivan Aldor-Noiman, Lawrence D. Brown, Andreas Buja, Wolfgang Rolke, Robert A. Stine
2013 American Statistician  
In this paper we discuss a simple new graphical procedure which provides confidence bands for a normal quantile-quantile plot.  ...  These bands define a test of normality and are much narrower in the tails than those related to the Kolmogorov-Smirnov test.  ...  In Figure 1 we show the time plot for the data and the quantile-quantile plot of the data with both our proposed Tail-Sensitive (TS) 95% confidence bands and the Kolmogorov-Smirnov (KS) confidence bands  ... 
doi:10.1080/00031305.2013.847865 fatcat:hrrc63vbmnbdrllrhm3qekwpz4

Page 1228 of Mathematical Reviews Vol. , Issue 2001B [page]

2001 Mathematical Reviews  
Summary: “Asymptotic simultaneous confidence bands for all in [0, 0.5] are obtained for each scalar function in a spectral density matrix, as well as for the logarithm of the autospectra, the squared coherence  ...  The tests are generalizations of the Cramér-von Mises and Kolmogorov-Smirnov tests based on the standardized spectral distribution function.  ... 

Quantitative analysis of LISA pathfinder test-mass noise

Luigi Ferraioli, Giuseppe Congedo, Mauro Hueller, Stefano Vitale, Martin Hewitson, Miquel Nofrarias, Michele Armano
2011 Physical Review D  
It also reveals the versatility of the Kolmogorov-Smirnov approach, which can be adapted to provide reasonable results on correlated data from a modified version of the standard equations for the inversion  ...  One is based on the statistical properties of the integrated spectrum, the other is based on Kolmogorov-Smirnov test.  ...  We also discuss the advantages of the Kolmogorov-Smirnov formalism for the estimation of confidence intervals of parameter values in correlated data. I.  ... 
doi:10.1103/physrevd.84.122003 fatcat:p245rxswtvg3njq3kazl4vy25u

Nonparametric analysis of nonhomogeneous multi‐state processes based on clustered observations

Giorgos Bakoyannis
2020 Biometrics  
Closed-form variance estimators are derived, rigorous methodology for the calculation of simultaneous confidence bands is proposed, and the asymptotic properties of the nonparametric tests are established  ...  When the observations are independent, the analysis of such studies can be based on standard methods for multi-state models.  ...  EORTC trial 10854, along with the -values from the Kolmogorov-Smirnov-type test confidence bands and a class of Kolmogorov-Smirnovtype tests were proposed.  ... 
doi:10.1111/biom.13327 pmid:32640037 fatcat:hvd3buvkobd6vc7ep6oabjkdti

Simple Nonparametric Techniques for Exploring Changing Probability Distributions of Weather

Christopher A. T. Ferro, Abdelwaheb Hannachi, David B. Stephenson
2005 Journal of Climate  
This study presents simple non-parametric methods for exploring and comparing differences in pairs of probability distribution functions.  ...  Sampling uncertainty in the quantile differences is assessed using simultaneous confidence intervals calculated using a bootstrap resampling method that takes account of serial (intraseasonal) dependency  ...  The quantile and Kolmogorov-Smirnov tests, on the other hand, are sensitive to any distributional changes and do not make any such distributional assumptions.  ... 
doi:10.1175/jcli3518.1 fatcat:4dwdspl2qbhxzeqfjrqmabifkq

Nonparametric analysis of nonhomogeneous multi-state processes based on clustered observations [article]

Giorgos Bakoyannis
2020 arXiv   pre-print
Closed-form variance estimators are derived, rigorous methodology for the calculation of simultaneous confidence bands is proposed, and the asymptotic properties of the nonparametric tests are established  ...  When the observations are independent, the analysis of such studies can be based on standard methods for multi-state models.  ...  Additionally, we proposed rigorous methodology for the calculation of simultaneous confidence bands and a class of Kolmogorov-Smirnov-type tests.  ... 
arXiv:1912.00487v3 fatcat:bygg6ediijfrbdvzqfrjv3arsm

Page 8004 of Mathematical Reviews Vol. , Issue 98M [page]

1998 Mathematical Reviews  
Summary: “We consider the problem of obtaining several types of simultaneous confidence bands for the survival curve under the additive risk model.  ...  Summary: “Built on Skaug and Tjestheim’s approach, this pa- per proposes a new test for serial independence by comparing the pairwise empirical distribution functions of a time series with the products  ... 

Confidence bands for a distribution function with merged data from multiple sources

Takumi Saegusa
2020 Statistics in Transition New Series  
We consider nonparametric estimation of a distribution function when data are collected from multiple overlapping data sources.  ...  Based on these asymptotic properties, we propose a simulation-based confidence band that enjoys asymptotically correct coverage probability.  ...  Acknowledgements We thank Partha Lahiri for helpful discussions and encouragement for this project.  ... 
doi:10.21307/stattrans-2020-035 doaj:290df0e0f74148d997620fed256be659 fatcat:yadvpb3qyjh57arpc4ones3sxm

Oracally efficient estimation of autoregressive error distribution with simultaneous confidence band

Jiangyan Wang, Rong Liu, Fuxia Cheng, Lijian Yang
2014 Annals of Statistics  
A smooth simultaneous confidence band (SCB) is then constructed based on the proposed smooth distribution estimator and Kolmogorov distribution. Simulation examples support the asymptotic theory.  ...  We propose kernel estimator for the distribution function of unobserved errors in autoregressive time series, based on residuals computed by estimating the autoregressive coefficients with the Yule-Walker  ...  SUPPLEMENTARY MATERIAL Supplement to "Oracally efficient estimation of autoregressive error distribution with simultaneous confidence band" (DOI: 10.1214/13-AOS1197SUPP; .pdf).  ... 
doi:10.1214/13-aos1197 fatcat:w5nzvas5yzdfza3ko6myhyyrkm

The empirical process of autoregressive residuals

Eric Engler, Bent Nielsen
2009 Econometrics Journal  
The result is used to establish asymptotic theory for the Kolmogorov-Smirnov test, Probability-Probability plots, and Quantile-Quantile plots.  ...  The link between sample moments and the empirical process of the residuals is established and used to establish the properties of the cumulant based tests for normality referred to as the Jarque-Bera test  ...  Kolmogorov-Smirnov bands can be constructed by σ u = 1 and chosing c α from limiting distributions of the Kolmogorov-Smirnov statistics.  ... 
doi:10.1111/j.1368-423x.2009.00282.x fatcat:hny6nywudbcz3kmcrvhkgv54qu

VOStat: A Statistical Web Service for Astronomers

Arnab Chakraborty, Eric D. Feigelson, G. Jogesh Babu
2013 Publications of the Astronomical Society of the Pacific  
censored data like upper limits), and time series analysis.  ...  A user supplies VOStat with a dataset extracted from the VO, or otherwise acquired, and chooses among ∼ 60 statistical functions.  ...  -This provides a sequence of plots of the normalized cumulative step-function of a single variable with 95% confidence bands based on the Kolmogorov-Smirnov statistic using the sfsmisc CRAN package (Mächler  ... 
doi:10.1086/670053 fatcat:bxjoopsygved3f65vwlyogfogu

The Wild Bootstrap for Multivariate Nelson-Aalen Estimators [article]

Tobias Bluhmki and Dennis Dobler and Jan Beyersmann and Markus Pauly
2017 arXiv   pre-print
This leads to various statistical applications such as asymptotically valid confidence bands or tests for equivalence and proportional hazards.  ...  In this context, time-simultaneous confidence bands are the perhaps best interpretative tool to account for related estimation uncertainties.  ...  This allows for various statistical applications in Section 4: Two-sided hypothesis tests and various sorts of time-simultaneous confidence bands are deduced, as well as simultaneous confidence intervals  ... 
arXiv:1602.02071v2 fatcat:aiypg7wrlnegnjzabnwtbz6xyy

Page 3832 of Mathematical Reviews Vol. , Issue 97F [page]

1997 Mathematical Reviews  
Summary: “Hall and Wellner proposed a natural extension of the Kolmogorov-Smirnov simultaneous confidence band for a survival curve using the Kaplan-Meier estimator.  ...  They and Gill conjectured that the confidence band holds for all ¢ up to the last observed failure time. A counterexample is given herein, showing that this may not always be true.”  ... 

The wild bootstrap for multivariate Nelson–Aalen estimators

Tobias Bluhmki, Dennis Dobler, Jan Beyersmann, Markus Pauly
2018 Lifetime Data Analysis  
This leads to various statistical applications such as asymptotically valid confidence bands or tests for equivalence and proportional hazards.  ...  Acknowledgements The authors would like to thank two referees and an associate editor for their helpful comments which increased the quality of this article.  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution  ... 
doi:10.1007/s10985-018-9423-x pmid:29512005 fatcat:mfn4dg4sxndhpodyngwb5deh4u

A Kolmogorov-Smirnov test for the molecular clock based on Bayesian ensembles of phylogenies

Fernando Antoneli, Fernando M. Passos, Luciano R. Lopes, Marcelo R. S. Briones, Art F. Y. Poon
2018 PLoS ONE  
of Bayesian trees and well known non-parametric (one-sample and two-sample) Kolmogorov-Smirnov (KS) goodness-of-fit test.  ...  In the strict clock case, the method consists in using the one-sample Kolmogorov-Smirnov (KS) test to directly test if the phylogeny is clock-like, in other words, if it follows a Poisson law.  ...  Joseph Felsenstein for critical review of the manuscript and valuable suggestions regarding the sets of branch lengths as IID variables and effects of covariation between long branches.  ... 
doi:10.1371/journal.pone.0190826 pmid:29300759 pmcid:PMC5754089 fatcat:mmntox67q5gxlngyg6rxelyyca
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