lgammaff(VGAM)
lgammaff()所属R语言包：VGAM
Log-gamma Distribution Family Function
对数伽玛分布族功能
译者：生物统计家园网 机器人LoveR
描述----------Description----------
Estimation of the parameter of the standard and nonstandard log-gamma distribution.
标准和非标准的对数伽玛分布的参数估计。
用法----------Usage----------
lgammaff(link = "loge", earg = list(), init.k = NULL)
lgamma3ff(llocation = "identity", lscale = "loge", lshape = "loge",
elocation = list(), escale = list(), eshape = list(),
ilocation = NULL, iscale = NULL, ishape = 1, zero = NULL)
参数----------Arguments----------
参数：llocation, lscale
Parameter link function applied to the location parameter a and the positive scale parameter b. See Links for more choices.
参数链接功能的位置参数a和积极的尺度参数b。见Links更多的选择。
参数：link, lshape
Parameter link function applied to the positive shape parameter k. See Links for more choices.
参数链接功能适用于积极的形状参数k。见Links更多的选择。
参数：earg, elocation, escale, eshape
List. Extra argument for each of the links. See earg in Links for general information.
列表。每个环节的额外参数。见earg中Links的一般信息。
参数：init.k, ishape
Initial value for k. If given, it must be positive. If failure to converge occurs, try some other value. The default means an initial value is determined internally.
初始值k。如果给定的，它必须是积极的。如果收敛失败时，尝试一些其他的价值。默认的装置内部确定一个初始值。
参数：ilocation, iscale
Initial value for a and b. The defaults mean an initial value is determined internally for each.
a和b的初始值。默认的初始值确定为每个内部。
参数：zero
An integer-valued vector specifying which linear/additive predictors are modelled as intercepts only. The values must be from the set {1,2,3}. The default value means none are modelled as intercept-only terms. See CommonVGAMffArguments for more information.
指定一个整数值向量线性/添加剂的预测模型仅作为拦截。这些值必须是从集合{1,2,3}。默认值是指没有被建模为仅截距。见CommonVGAMffArguments更多信息。
Details
详细信息----------Details----------
The probability density function of the standard log-gamma distribution is given by
的标准对数伽玛分布的概率密度函数
for parameter k>0 and all real y. The mean of Y is digamma(k) (returned as the fitted values) and its variance is trigamma(k).
参数k>0和所有真正的y。的平均Y是digamma(k)的拟合值（返回）和方差为trigamma(k)。
For the non-standard log-gamma distribution, one replaces y by (y-a)/b, where a is the location parameter and b is the positive scale parameter. Then the density function is
非标准对数伽玛分布，取代y(y-a)/b，其中a的位置参数和b是积极的尺度参数。然后，密度函数是
The mean and variance of Y are a + b*digamma(k) (returned as the fitted values) and b^2 * trigamma(k), respectively.
Ya + b*digamma(k)（返回的拟合值）和b^2 * trigamma(k)，分别均值和方差。
值----------Value----------
An object of class "vglmff" (see vglmff-class). The object is used by modelling functions such as vglm, and vgam.
类的一个对象"vglmff"（见vglmff-class）。该对象被用于建模功能，如vglm，vgam。
注意----------Note----------
The standard log-gamma distribution can be viewed as a generalization of the standard type 1 extreme value density: when k = 1 the distribution of -Y is the standard type 1 extreme value distribution.
标准对数伽玛分布可以被看作是一个概括的标准1型极值密度：k = 1-Y的分布是标准的1型极值分布。
The standard log-gamma distribution is fitted with lgammaff and the non-standard (3-parameter) log-gamma distribution is fitted with lgamma3ff.
标准对数伽玛分布的配备lgammaff和非标（3参数）的对数伽玛分布都配有lgamma3ff。
（作者）----------Author(s)----------
T. W. Yee
参考文献----------References----------
Extreme Value Distributions: Theory and Applications, pages 48–49, London: Imperial College Press.
Continuous Univariate Distributions, 2nd edition, Volume 2, p.89, New York: Wiley.
参见----------See Also----------
rlgamma, gengamma, prentice74, gamma1, lgamma.
rlgamma，gengamma，prentice74，gamma1，lgamma。
实例----------Examples----------
ldata = data.frame(y = rlgamma(100, k = exp(1)))
fit = vglm(y ~ 1, lgammaff, ldata, trace = TRUE, crit = "coef")
summary(fit)
coef(fit, matrix = TRUE)
Coef(fit)
ldata = data.frame(x = runif(nn <- 5000)) # Another example[另一个例子]
ldata = transform(ldata, loc = -1 + 2 * x, Scale = exp(1))
ldata = transform(ldata, y = rlgamma(nn, loc, scale = Scale, k = exp(0)))
fit2 = vglm(y ~ x, lgamma3ff(zero = 2:3), ldata, trace = TRUE, crit = "c")
coef(fit2, matrix = TRUE)
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注：
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发表于 2012-10-1 15:40:49
