Nonparametric statistics
... can be used for descriptive statistics or statistical inference. Nonparametric tests are often used ... Nonparametric statistics is the type of statistics that is not restricted by assumptions concerning the nature of the ... Practical Nonparametric Statistics (Third ed.), Wiley, pp. 157-176, ISBN 0-471-16068-7 Sprent, P. (1989), Applied Nonparametric ... CDF-based nonparametric confidence interval Parametric statistics Resampling (statistics) Semiparametric model Pearce, J; ...
Nonparametric skew
In statistics and probability theory, the nonparametric skew is a statistic occasionally used with random variables that take ... The test statistic was T = m − a J . {\displaystyle T={\frac {m-a}{J}}.} The scaled statistic T√n is asymptotically normal with ... Bowley dropped the factor 3 from this formula in 1901 leading to the nonparametric skew statistic. The relationship between the ... When p = q = 0.5 the absolute value of this statistic is bounded by 1. With p = 0.1 and p = 0.01, the statistic's absolute ...
Nonparametric regression
Lasso (statistics) Local regression Non-parametric statistics Semiparametric regression Isotonic regression Multivariate ... HyperNiche, software for nonparametric multiplicative regression. Scale-adaptive nonparametric regression (with Matlab software ... Nonparametric regression is a category of regression analysis in which the predictor does not take a predetermined form but is ... In nonparametric regression, we have random variables X {\displaystyle X} and Y {\displaystyle Y} and assume the following ...
Friedman test
1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). New York: McGraw-Hill. ISBN 978-0-07-100326-1. (Articles ... Kendall's W is a normalization of the Friedman statistic between 0 and 1. The Wilcoxon signed-rank test is a nonparametric test ... ISBN 978-0-85264-199-6. Hollander, M.; Wolfe, D. A. (1973). Nonparametric Statistics. New York: J. Wiley. ISBN 978-0-471-40635- ... Daniel, Wayne W. (1990). "Friedman two-way analysis of variance by ranks". Applied Nonparametric Statistics (2nd ed.). Boston: ...
Ranking (statistics)
Nonparametric statistics). ... In statistics, ranking is the data transformation in which ... In some other cases, descending ranks are used.) Ranks are related to the indexed list of order statistics, which consists of ... By sorting them into order, we have defined their order statistics X n , ( 1 ) ≤ . . . ≤ X n , ( n ) {\displaystyle X_{n,(1)}\ ... Vaart, A. W. van der (1998). Asymptotic statistics. Cambridge, UK: Cambridge University Press. ISBN 9780521784504. ( ...
Record value
ISBN 978-0-7618-2794-8. (Nonparametric statistics). ... In statistics, a record value or record statistic is the ... The theory is closely related to that used in order statistics. The term was first introduced by K. N. Chandler in 1952. Ladder ... height process MinHash Ahsanullah, Mohammad; Nevzorov, Valery B. (2011). "Record Statistics". International Encyclopedia of ...
Kernel smoother
Nonparametric statistics). ...
Boundary problem (spatial analysis)
Elementary statistics for geographers (3rd ed.). Guilford Press. ISBN 978-1572304840. Henley, S. (1981). Nonparametric ... Cressie, Noel A. C. (1993). Statistics for Spatial Data. Wiley Series in Probability and Statistics. Wiley. doi:10.1002/ ... In analysis with area data, statistics should be interpreted based upon the boundary. In geographical research, two types of ... In analysis with areal data, statistics should be interpreted based upon the boundary. In spatial analysis, four major problems ...
Lepage test
In statistics, the Lepage test is an exact distribution-free test (nonparametric test) for jointly monitoring the location ( ... The Lepage test statistic is the squared Euclidean distance of standardized Wilcoxon rank-sum test for location and the ... Andreas Schulz and Markus Neuhäuser also provided detailed R code for computation of test statistic and p-value of the Lepage ... The details may be found in the book: Nonparametric statistical tests: A computational approach. Kössler, W. in 2006 also ...
Hannu Oja
Oja, Hannu (2010). Multivariate Nonparametric Methods with R. Lecture Notes in Statistics. Vol. 199. New York, NY: Springer New ... Nordhausen, Klaus; Oja, Hannu (2018-03-07). "Robust Nonparametric Inference". Annual Review of Statistics and Its Application. ... Oja, Hannu (1983). "Descriptive statistics for multivariate distributions". Statistics & Probability Letters. 1 (6): 327-332. ... "Descriptive statistics for nonparametric models. The impact of some Erich Lehmann's papers", Selected Works of E. L. Lehmann, ...
Charles Joel Stone
Stone, Charles J. (1977). "Consistent nonparametric regression". The Annals of Statistics. 5 (4): 595-620. doi:10.1214/aos/ ... Lecture Notes in Statistics, vol. 171. pp. 285-296. ISBN 9780387215792. Hoel, P.; Port, S. C.; Stone, C. J. (1971). ... He was elected a Fellow of the Institute of Mathematical Statistics in 1970 and a Fellow of the Class of 2013 (announced in ... He then matriculated at Stanford University, where in 1961 he received his PhD in statistics. His PhD thesis Limit Theorems for ...
Sign test
Kitchens, L.J.(2003). Basic Statistics and Data Analysis. Duxbury. Conover, W. J. (1980). Practical Nonparametric Statistics, ... Mendenhall W, Wackerly DD, Scheaffer RL (1989), "15: Nonparametric statistics", Mathematical statistics with applications ( ... Practical Nonparametric Statistics (Third ed.), Wiley, pp. 157-176, ISBN 0-471-16068-7 Sprent, P. (1989), Applied Nonparametric ... Corder, Gregory W.; Foreman, Dale I. (2014), "3.6 Statistical Power", Nonparametric Statistics: A Step-by-Step Approach (2nd ed ...
K-nearest neighbors algorithm
In statistics, the k-nearest neighbors algorithm (k-NN) is a non-parametric supervised learning method first developed by ... Stone, Charles J. (1977). "Consistent nonparametric regression". Annals of Statistics. 5 (4): 595-620. doi:10.1214/aos/ ... Nonparametric Discrimination: Consistency Properties (PDF) (Report). USAF School of Aviation Medicine, Randolph Field, Texas. ... Terrell, George R.; Scott, David W. (1992). "Variable kernel density estimation". Annals of Statistics. 20 (3): 1236-1265. doi: ...
Mathematical statistics
Unlike parametric statistics, nonparametric statistics make no assumptions about the probability distributions of the variables ... Nonparametric statistics are values calculated from data in a way that is not based on parameterized families of probability ... Upton, G., Cook, I. (2008) Oxford Dictionary of Statistics, OUP. ISBN 978-0-19-954145-4 "Research Nonparametric Methods". ... inferential statistics - the part of statistics that draws conclusions from data (using some model for the data): For example, ...
Hodges-Lehmann estimator
Articles with short description, Short description matches Wikidata, Robust statistics, Nonparametric statistics). ... an important class of estimators both in nonparametric statistics and in robust statistics. The Hodges-Lehmann estimator was ... In statistics, the Hodges-Lehmann estimator is a robust and nonparametric estimator of a population's location parameter. For ... It is a robust statistic that has a breakdown point of 0.29, which means that the statistic remains bounded even if nearly 30 ...
Empirical likelihood
In probability theory and statistics, empirical likelihood (EL) is a nonparametric method for estimating the parameters of ... Journal of Nonparametric Statistics. 22 (2): 237-255. doi:10.1080/10485250903301525. ISSN 1048-5252. S2CID 119684596. Chen, ... Empirical likelihood can naturally be applied in survival analysis or regression problems Bootstrapping (statistics) Jackknife ... The Annals of Statistics. 18 (1). doi:10.1214/aos/1176347494. ISSN 0090-5364. Dong, Lauren Bin; Giles, David E. A. (2007-01-30 ...
Wald-Wolfowitz runs test
Alhakim, A; Hooper, W (2008). "A non-parametric test for several independent samples". Journal of Nonparametric Statistics. 20 ... The Wald-Wolfowitz runs test (or simply runs test), named after statisticians Abraham Wald and Jacob Wolfowitz is a non-parametric ... Sprent P, Smeeton NC (2007) Applied Nonparametric Statistical Methods, pp. 217-219. Boca Raton: Chapman & Hall/ CRC. ...
Delta method
ISBN 0-387-96119-4. Wasserman, Larry (2006). All of Nonparametric Statistics. New York: Springer. pp. 19-20. ISBN 0-387-25145-6 ... A version of the delta method exists in nonparametric statistics. Let X i ∼ F {\displaystyle X_{i}\sim F} be an independent and ... In statistics, the delta method is a result concerning the approximate probability distribution for a function of an ... ISBN 978-1-4338-0048-1. Doob, J. L. (1935). "The Limiting Distributions of Certain Statistics". Annals of Mathematical ...
Functional principal component analysis
ISBN 978-0-387-40080-8. (Factor analysis, Nonparametric statistics). ... Staniswalis, J. G.; Lee, J. J. (1998). "Nonparametric Regression Analysis of Longitudinal Data". Journal of the American ... Li, Y.; Hsing, T. (2010). "Uniform convergence rates for nonparametric regression and principal component analysis in ... The Annals of Statistics. 33 (6): 2873. arXiv:math/0603132. doi:10.1214/009053605000000660. Yao, F.; Müller, H. G.; Wang, J. L ...
Bretagnolle-Huber inequality
Tsybakov, Alexandre B. (2010). Introduction to nonparametric estimation. Springer Series in Statistics. Springer. doi:10.1007/ ... It is used in statistics and machine learning to prove information-theoretic lower bounds relying on hypothesis testing Let P ...
Cucconi test
In statistics, the Cucconi test is a nonparametric test for jointly comparing central tendency and variability (detecting ... Marozzi, Marco (2009). "Some Notes on the Location-Scale Cucconi Test". Journal of Nonparametric Statistics. 21 (5): 629-647. ... Articles with short description, Short description matches Wikidata, Nonparametric statistics). ... The Cucconi test is based on the following statistic: CUC = U 2 + V 2 − 2 ρ U V 2 ( 1 − ρ 2 ) . {\displaystyle {\text{CUC}}={\ ...
Kruskal-Wallis one-way analysis of variance
Spurrier, J. D. (2003). "On the null distribution of the Kruskal-Wallis statistic". Journal of Nonparametric Statistics. 15 (6 ... Siegel; Castellan (1988). Nonparametric Statistics for the Behavioral Sciences (Second ed.). New York: McGraw-Hill. ISBN ... Corder, Gregory W.; Foreman, Dale I. (2009). Nonparametric Statistics for Non-Statisticians. Hoboken: John Wiley & Sons. pp. 99 ... Applied Nonparametric Statistics (2nd ed.). Boston: PWS-Kent. pp. 226-234. ISBN 0-534-91976-6. An online version of the test ( ...
Stein's unbiased risk estimate
Wasserman, Larry (2005). All of Nonparametric Statistics. (Point estimation performance). ... In statistics, Stein's unbiased risk estimate (SURE) is an unbiased estimator of the mean-squared error of "a nearly arbitrary ... Stein, Charles M. (November 1981). "Estimation of the Mean of a Multivariate Normal Distribution". The Annals of Statistics. 9 ...
Phillip Good
Good, P. I. (1992). "Globally almost most powerful tests for censored data". Journal of Nonparametric Statistics. 1 (3): 253- ... Common Errors in Statistics (and How to Avoid Them) (with J. Hardin), Wiley, 2003 (4th edition, 2012). Applying Statistics in ... Introduction to Statistics Using Resampling Methods and R/S-Plus. Wiley, 2005 (2nd edition, 2012). Introduction to Statistics ... His chief contributions to statistics are in the area of small sample statistics, including a uniformly most powerful unbiased ...
Analysis of variance
Robust nonparametric statistical methods. Kendall's Library of Statistics. Vol. 5 (First ed.). New York: John Wiley & Sons, Inc ... The test statistics of this derived linear model are closely approximated by the test statistics of an appropriate normal ... Citations from Moore & McCabe (2003): "Analysis of variance uses F statistics, but these are not the same as the F statistic ... Resampling and nonparametric approaches to data) Montgomery (2001, Section 3-10: Nonparametric methods in the analysis of ...
Shlomo Sawilowsky
Many of his publications are related to rank-based nonparametric statistics. For example, an examination of the robustness and ... Hettmansperger, T. P.; McKean, J. W. (1998). Robust nonparametric statistical methods. Kendall's Library of Statistics. Vol. 5 ... 1990 Nonparametric tests of interaction in experimental design. Review of Educational Research, 60, 91-126. 1989 (With R. C. ... Journal of Educational Statistics, 14, 255-267. After graduating from the Rabbinical College of America in 1979, Sawilowsky was ...
Step detection
Winkler, G.; Liebscher, V. (2002). "Smoothers for discontinuous signals". Journal of Nonparametric Statistics. 14 (1-2): 203- ... In statistics and signal processing, step detection (also known as step smoothing, step filtering, shift detection, jump ... 2008). "Complexity penalized M-estimation: fast computation". Journal of Computational and Graphical Statistics. 17 (1): 201- ...
Mann-Whitney U test
Siegal, Sidney (1956). Nonparametric statistics for the behavioral sciences. McGraw-Hill. p. 121. Lehmann, Erich; D'Abrera, ... MATLAB has ranksum in its Statistics Toolbox. R's statistics base-package implements the test wilcox.test in its "stats" ... Corder, G.W.; Foreman, D.I. (2014). Nonparametric Statistics: A Step-by-Step Approach. Wiley. ISBN 978-1118840313. Hodges, J.L ... Conover, William J.; Iman, Ronald L. (1981). "Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics ...
Tukey-Duckworth test
Statistical tests, Nonparametric statistics). ... In statistics, the Tukey-Duckworth test is a two-sample ...
Pinsker's inequality
Springer Series in Statistics. Springer, New York, 2009. xii+214 pp. ISBN 978-0-387-79051-0, Equation 2.25. Tsybakov, Alexandre ... Introduction to nonparametric estimation, Revised and extended from the 2004 French original. Translated by Vladimir Zaiats. ... 2009). Introduction to Nonparametric Estimation. Springer. p. 132. ISBN 9780387790527. The divergence becomes infinite whenever ...