Package cnbdistr. R topics documented: July 17, 2017
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1 Type Package Title Conditional Negative Binomial istribution Version ate Author Xiaotian Zhu Package cnbdistr July 17, 2017 Maintainer Xiaotian Zhu escription Provided R functions for working with the Conditional Negative Binomial distribution. License GPL-3 epends R (>= 3.2.2) Imports hypergeo (>= ), stats (>= 3.3.2) Suggests rmutil (>= 1.1.0), testthat (>= 1.0.2), knitr (>= 1.16), rmarkdown (>= 1.6) NeedsCompilation no Encoding UTF-8 Lazyata true RoxygenNote VignetteBuilder knitr Repository CRAN ate/publication :50:23 UTC R topics documented: dcnb mu_cnb pcnb qcnb rcnb sigma2_cnb Index 8 1
2 2 dcnb dcnb PMF of Conditional Negative Binomial escription Probability mass function of the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. dcnb(x,,,, ) x a nonempty vector of non-negative integer(s) <=. A vector providing values of Pr(X = x X + Y = ) for each element in x. pcnb, qcnb, rcnb. dcnb(980, 2000, 120, 90, 0.994) dcnb(0:7, 7, 2, 0.4, 0.6)
3 mu_cnb 3 mu_cnb Mean of Conditional Negative Binomial escription Function calculating mean of the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. mu_cnb(,,, ) E(X X + Y = ). sigma2_cnb mu_cnb(7, 2, 0.4, 0.6)
4 4 pcnb pcnb CF of Conditional Negative Binomial escription Cumulative distribution function of the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. pcnb(x,,,, ) x a nonempty vector of real numbers. A vector providing values of Pr(X <= x X + Y = ) for each element in x. dcnb, qcnb, rcnb. pcnb(980, 2000, 120, 90, 0.994) pcnb(0:7, 7, 2, 0.4, 0.6)
5 qcnb 5 qcnb Quantile Function of Conditional Negative Binomial escription Quantile function of the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. qcnb(p,,,, ) p a nonempty vector of probabilities (0 <= p[i] <= 1 for all i). A vector x such that x[i] = Inf{x in 0:, p[i] <= Pr(X <= x X + Y = )} for all i. dcnb, pcnb, rcnb. qcnb( , 2000, 120, 90, 0.994) qcnb(seq(0, 1, 0.05), 7, 2, 0.4, 0.6)
6 6 rcnb rcnb Random Number Generation from Conditional Negative Binomial escription Random number generation from the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. rcnb(n,,,, ) n n iid draws from X X+Y=. dcnb, pcnb, qcnb. x <- rcnb(1e3, 7, 2, 0.4, 0.6) hist(x)
7 sigma2_cnb 7 sigma2_cnb Variance of Conditional Negative Binomial escription Function calculating variance of the conditional distribution of X given X + Y =, where X ~ NB(, p1) and Y ~ NB(, p2) are drawn from two negative binomials, independent of each other, and assuming p1/p2 =. sigma2_cnb(,,, ) V(X X + Y = ). mu_cnb sigma2_cnb(7, 2, 0.4, 0.6)
8 Index dcnb, 2, 4 6 mu_cnb, 3, 7 pcnb, 2, 4, 5, 6 qcnb, 2, 4, 5, 6 rcnb, 2, 4, 5, 6 sigma2_cnb, 3, 7 8
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