Читать книгу The Big R-Book - Philippe J. S. De Brouwer - Страница 286
8.4. Distributions
ОглавлениеR is a statistical language and most of thework in R will include statistics. Therefore we introduce the reader to how statistical distributions are implemented in R and how they can be used.
The names of the functions related to statistical distributions in R are composed of two sections: the first letter refers to the function (in the following) and the remainder is the distribution name.
d: The pdf (probability density function)
p: The cdf (cumulative probability density function)
q: The quantile function
r: The random number generator.
probability density function
cdf
cumulative density function
quantile function
random
distribution – normal
distribution – exponential
distribution – log-normal
distribution – logistic
distribution – geometric
distribution – Poisson
distribution – t
distribution – f
distribution – beta
distribution – weibull
distribution – binomial
distribution – negative
binomial
distribution – chi-squared
distribution – uniform
distribution – gamma
distribution – cauchy
distribution – hypergeometric
Table 8.1: Common distributions and their names in R.
Distribution | R-name | Distribution | R-name |
Normal | norm | Weibull | weibull |
Exponential exp | Binomial | binom | |
Log-normal | lnorm | Negative binomial | nbinom |
Logistic | logis | χ 2 | chisq |
Geometric | geom | Uniform | unif |
Poisson | pois | Gamma | gamma |
t | t | Cauchy | cauchy |
f | f | Hypergeometric | hyper |
Beta | beta |
As all distributions work in a very similar way, we use the normal distribution to show how the logic works.