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1 Type Package Title Cumulative Descriptive Statistics Version 1.0 Date Author Arturo Erdely and Ian Castillo Package cumstats January 16, 2017 Maintainer Arturo Erdely Cumulative descriptive statistics for (arithmetic, geometric, harmonic) mean, median, mode, variance, skewness and kurtosis. License GPL-3 NeedsCompilation no Repository CRAN Date/Publication :13:00 R topics documented: cumstats-package cumgmean cumhmean cumkurt cummean cummedian cummode cumquant cumskew cumvar kurtosis Mode skewness Inde 15 1

2 2 cumstats-package cumstats-package Cumulative Descriptive Statistics Details Cumulative descriptive statistics for (arithmetic, geometric, harmonic) mean, median, mode, variance, skewness and kurtosis. The DESCRIPTION file: Package: cumstats Type: Package Title: Cumulative Descriptive Statistics Version: 1.0 Date: Author: Arturo Erdely and Ian Castillo Maintainer: Arturo Erdely : Cumulative descriptive statistics for (arithmetic, geometric, harmonic) mean, median, mode, variance, skewnes License: GPL-3 Inde of help topics: Mode cumgmean cumhmean cumkurt cummean cummedian cummode cumquant cumskew cumstats-package cumvar kurtosis skewness Statistical Mode Cumulative Geometric Mean Cumulative Harmonic Mean Cumulative Kurtosis Cumulative Arithmetic Mean Cumulative Median Cumulative Mode Cumulative Quantile Cumulative Skewness Cumulative Descriptive Statistics Cumulative Variance Pearson's Measure of Kurtosis Skewness Cumulative descriptive statistics for (arithmetic, geometric, harmonic) mean, median, mode, variance, skewness and kurtosis. Arturo Erdely and Ian Castillo Maintainer: Arturo Erdely <arturo.erdely@comunidad.unam.m>

3 cumgmean 3 cumgmean Cumulative Geometric Mean Returns a vector whose elements are the cumulative geometric mean of the elements of the argument. cumgmean() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. cumhmean, cummean Eamples cumgmean(c(9, 1, 4, 0, 3, NA, 8, 5)) z <- cumgmean(rlnorm(10000, 0, 1)) head(z); tail(z)

4 4 cumhmean cumhmean Cumulative Harmonic Mean Returns a vector whose elements are the cumulative harmonic mean of the elements of the argument. cumhmean() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. cumgmean, cummean Eamples cumhmean(c(9, 1, 4, 0, 3, NA, 8, 5))

5 cumkurt 5 cumkurt Cumulative Kurtosis Returns a vector whose elements are the cumulative kurtosis of the elements of the argument. cumkurt() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. The first entry is always NaN since kurtosis requires at least two different values. kurtosis Eamples cumkurt(c(9, 1, 4, 0, 3, NA, 8, 5))

6 6 cummean cummean Cumulative Arithmetic Mean Returns a vector whose elements are the cumulative arithmetic mean of the elements of the argument. cummean() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. Arturo Erdely and Ian Castillo. cumhmean, cumgmean, cummedian Eamples cummean(c(9, 1, 4, 0, 3, NA, 8, 5))

7 cummedian 7 cummedian Cumulative Median Returns a vector whose elements are the cumulative median of the elements of the argument. cummedian() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. cummean, cumquant Eamples cummedian(c(9, 1, 4, 0, 3, NA, 8, 5))

8 8 cummode cummode Cumulative Mode Returns a list whose elements are the cumulative statistical mode(s) of the elements of the argument. cummode() A list of the same length as with numeric vectors. NA values are also counted. Mode Eamples cummode(c(rep(1, 2), rep(12, 5), rep(44, 3), rep(8, 5), 55)) cummode(c(rep(1, 2), rep(12, 5), rep(44, 3), rep(8, 5), rep(na, 7), 55)) cummode(runif(5)) cummode(c(rep("a", 2), rep("b", 5), rep("d", 3), rep("e", 5), rep(na, 5)))

9 cumquant 9 cumquant Cumulative Quantile Returns a vector whose elements are the cumulative quantile of the elements of the argument. cumquant(, p, type = 7) p type probability for the desired quantile. See quantile in R base package. A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. cummedian Eamples y <- c(9, 1, 3, 0, NA, 2, 5) cummedian(y) cumquant(y, 0.5) z <- cumquant(rcauchy(10000), 0.75) head(z); tail(z)

10 10 cumskew cumskew Cumulative Skewness Returns a vector whose elements are the cumulative skewness of the elements of the argument. cumskew() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. The first entry is always NaN since skewness requires at least two different values. skewness Eamples cumskew(c(9, 1, 4, 0, 3, NA, 8, 5))

11 cumvar 11 cumvar Cumulative Variance Returns a vector whose elements are the cumulative sample variance of the elements of the argument. cumvar() A numeric vector of the same length as. An NA value in causes the corresponding and following elements of the return value to be NA. The first entry is always NA since sample variance requires at least two values. Eamples cumvar(c(9, 1, 4, 0, 3, NA, 8, 5)) kurtosis Pearson s Measure of Kurtosis This function computes the estimator of Pearson s measure of kurtosis. kurtosis()

12 12 Mode A numeric value of skewness. Returns NA if contains NA value(s), and NaN if length(unique())==1 is TRUE. Adapted by Arturo Erdely from moments R package by Lukasz Komsta. Komsta, L. and Novomestky, F. (2015). moments: Moments, cumulants, skewness, kurtosis and related tests. R package version cumkurt Eamples kurtosis(c(9, 1, 3, 0)) Mode Statistical Mode This function computes the statistical mode of given data. Mode() a numeric or character vector. A list containing the following components: s Frequency of statistical mode(s) found, in the order they appear in number of times the mode(s) appear in NA values are also considered.

13 skewness 13 Ian Castillo. cummode Eamples Mode(c(rep(1, 2), rep(12, 5), rep(44, 3), rep(8, 5), 55)) Mode(c(rep(1, 2), rep(12, 5), rep(44, 3), rep(8, 5), rep(na, 7), 55)) Mode(runif(5)) Mode(c(rep("a", 2), rep("b", 5), rep("d", 3), rep("e", 5), rep(na, 5))) skewness Skewness This function computes skewness of given numeric data. skewness() A numeric value of skewness. Returns NA if contains NA value(s), and NaN if length(unique())==1 is TRUE. Adapted by Arturo Erdely from moments R package by Lukasz Komsta.

14 14 skewness Komsta, L. and Novomestky, F. (2015). moments: Moments, cumulants, skewness, kurtosis and related tests. R package version cumskew Eamples skewness(c(9, 1, 3, 0))

15 Inde Topic package cumstats-package, 2 cumgmean, 3, 4, 6 cumhmean, 3, 4, 6 cumkurt, 5, 12 cummean, 3, 4, 6, 7 cummedian, 6, 7, 9 cummode, 8, 13 cumquant, 7, 9 cumskew, 10, 14 cumstats (cumstats-package), 2 cumstats-package, 2 cumvar, 11 kurtosis, 5, 11 Mode, 8, 12 skewness, 10, 13 15

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