laplaceUC(VGAM)
laplaceUC()所属R语言包：VGAM
The Laplace Distribution
拉普拉斯分布
译者：生物统计家园网 机器人LoveR
描述----------Description----------
Density, distribution function, quantile function and random generation for the Laplace distribution with location parameter location and scale parameter scale.
密度，分布函数，分位数函数和随机生成的拉普拉斯分布位置参数location和尺度参数scale。
用法----------Usage----------
dlaplace(x, location = 0, scale = 1, log = FALSE)
plaplace(q, location = 0, scale = 1)
qlaplace(p, location = 0, scale = 1)
rlaplace(n, location = 0, scale = 1)
参数----------Arguments----------
参数：x, q
vector of quantiles.
向量的位数。
参数：p
vector of probabilities.
向量的概率。
参数：n
number of observations. Positive integer of length 1.
若干意见。长度为1的正整数。
参数：location
the location parameter a, which is the mean.
的位置参数a，这是平均值。
参数：scale
the scale parameter b. Must consist of positive values.
尺度参数b。必须由正面的价值观。
参数：log
Logical. If log = TRUE then the logarithm of the density is returned.
逻辑。如果log = TRUE然后返回的密度的对数。
Details
详细信息----------Details----------
The Laplace distribution is often known as the double-exponential distribution and, for modelling, has heavier tail than the normal distribution. The Laplace density function is
拉普拉斯分布通常被称为双指数分布，建模，有较重的尾部比正态分布。拉普拉斯密度函数是
where -Inf<y<Inf, -Inf<a<Inf and b>0. The mean is a and the variance is 2b^2.
-Inf<y<Inf，-Inf<a<Inf和b>0。平均a和方差2b^2。
See laplace, the VGAM family function for estimating the two parameters by maximum likelihood estimation, for formulae and details. Apart from n, all the above arguments may be vectors and are recyled to the appropriate length if necessary.
laplace，家庭功能的VGAM估计这两个参数的最大似然估计，公式和细节。除了n，所有上述参数可以是向量和被recyled到合适的长度，如果必要的。
值----------Value----------
dlaplace gives the density, plaplace gives the distribution function, qlaplace gives the quantile function, and rlaplace generates random deviates.
dlaplace给出了密度，plaplace给出了分布函数，qlaplace给出了分位数的功能，和rlaplace随机产生的偏离。
（作者）----------Author(s)----------
T. W. Yee
参考文献----------References----------
Statistical Distributions, New York: Wiley-Interscience, Third edition.
参见----------See Also----------
laplace.
laplace。
实例----------Examples----------
loc = 1; b = 2
y = rlaplace(n = 100, loc = loc, scale = b)
mean(y) # sample mean[样本均值]
loc # population mean[人口平均]
var(y) # sample variance[样本方差]
2 * b^2 # population variance[总体方差]
## Not run: loc = 0; b = 1.5; x = seq(-5, 5, by = 0.01)[＃不运行：LOC = 0，B = 1.5，X = SEQ（-5，5，= 0.01）]
plot(x, dlaplace(x, loc, b), type = "l", col = "blue", ylim = c(0,1),
main = "Blue is density, red is cumulative distribution function",
sub = "Purple are 5,10,...,95 percentiles", las = 1, ylab = "")
abline(h = 0, col = "blue", lty = 2)
lines(qlaplace(seq(0.05,0.95,by = 0.05), loc, b),
dlaplace(qlaplace(seq(0.05,0.95,by = 0.05), loc, b), loc, b),
col = "purple", lty = 3, type = "h")
lines(x, plaplace(x, loc, b), type = "l", col = "red")
abline(h = 0, lty = 2)
## End(Not run)[＃（不执行）]
plaplace(qlaplace(seq(0.05,0.95,by = 0.05), loc, b), loc, b)
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注：
注1：为了方便大家学习，本文档为生物统计家园网机器人LoveR翻译而成，仅供个人R语言学习参考使用，生物统计家园保留版权。
注2：由于是机器人自动翻译，难免有不准确之处，使用时仔细对照中、英文内容进行反复理解，可以帮助R语言的学习。
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发表于 2012-10-1 15:40:23
