bilogistic4(VGAM)
bilogistic4()所属R语言包:VGAM
Bivariate Logistic Distribution Family Function
二元MF配送家庭功能
译者:生物统计家园网 机器人LoveR
描述----------Description----------
Estimates the four parameters of the bivariate logistic distribution by maximum likelihood estimation.
估计参数的二元MF配送,通过最大似然估计。
用法----------Usage----------
bilogistic4(llocation = "identity", lscale = "loge",
iloc1 = NULL, iscale1 = NULL, iloc2 = NULL, iscale2 = NULL,
imethod = 1, zero = NULL)
参数----------Arguments----------
参数:llocation
Link function applied to both location parameters l1 and l2. See Links for more choices.
链接功能适用于这两个位置参数l1和l2。见Links更多的选择。
参数:lscale
Parameter link function applied to both (positive) scale parameters s1 and s2. See Links for more choices.
参数链接功能适用于两个(正)尺度参数s1和s2。见Links更多的选择。
参数:iloc1, iloc2
Initial values for the location parameters. By default, initial values are chosen internally using imethod. Assigning values here will override the argument imethod.
的位置参数的初始值。默认情况下,初始值是内部选择使用imethod。在这里指定的值将覆盖参数imethod。
参数:iscale1, iscale2
Initial values for the scale parameters. By default, initial values are chosen internally using imethod. Assigning values here will override the argument imethod.
为尺度参数的初始值。默认情况下,初始值是内部选择使用imethod。在这里指定的值将覆盖参数imethod。
参数:imethod
An integer with value 1 or 2 which specifies the initialization method. If failure to converge occurs try the other value.
一个整数,值1或2指定的初始化方法。如果收敛失败发生的其他值。
参数:zero
An integer-valued vector specifying which linear/additive predictors are modelled as intercepts only. The default is none of them. If used, choose values from the set {1,2,3,4}.
指定一个整数值向量线性/添加剂的预测模型仅作为拦截。在默认情况下是没有。如果使用,请选择从集合{1,2,3,4}的值。
Details
详细信息----------Details----------
The four-parameter bivariate logistic distribution has a density that can be written as
四参数二元logistic分布具有的密度,可以写为
where s1>0 s2>0 are the scale parameters, and l1 and l2 are the location parameters. Each of the two responses are unbounded, i.e., -Inf<y_j<Inf. The mean of Y1 is l1 etc. The fitted values are returned in a 2-column matrix. The cumulative distribution function is
s1>0s2>0是尺度参数,并l1和l2现在的位置参数。的反应是无界的,即-Inf<y_j<Inf。平均Y1是l1等的拟合值中返回一个2列的矩阵。累积分布函数是
The marginal distribution of Y1 is
边缘分布Y1
By default, eta1=l1, eta2=log(s1), eta3=l2, eta4=log(s2) are the linear/additive predictors.
默认情况下,eta1=l1,eta2=log(s1),eta3=l2,eta4=log(s2)是线性/对添加剂的预测。
值----------Value----------
An object of class "vglmff" (see vglmff-class). The object is used by modelling functions such as vglm, rrvglm and vgam.
类的一个对象"vglmff"(见vglmff-class)。该对象被用于建模功能,如vglm,rrvglm和vgam。
注意----------Note----------
This family function uses the BFGS quasi-Newton update formula for the working weight matrices. Consequently the estimated variance-covariance matrix may be inaccurate or simply wrong! The standard errors must be therefore treated with caution; these are computed in functions such as vcov() and summary().
这间家庭功能使用BFGS拟牛顿更新公式的权重矩阵。因此,估计的方差 - 协方差矩阵可能是不准确的或完全错误的!标准误差必须谨慎对待,因此,这些计算功能,如vcov()和summary()。
(作者)----------Author(s)----------
T. W. Yee
参考文献----------References----------
Bivariate logistic distributions. Journal of the American Statistical Association, 56, 335–349.
Extreme Value and Related Models with Applications in Engineering and Science, Hoboken, NJ, USA: Wiley-Interscience.
参见----------See Also----------
logistic, rbilogis4.
logistic,rbilogis4。
实例----------Examples----------
ymat = rbilogis4(n <- 1000, loc1 = 5, loc2 = 7, scale2 = exp(1))
## Not run: plot(ymat)[#不运行:图(ymat)]
fit = vglm(ymat ~ 1, fam = bilogistic4, trace = TRUE)
coef(fit, matrix = TRUE)
Coef(fit)
head(fitted(fit))
vcov(fit)
head(weights(fit, type = "work"))
summary(fit)
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注:
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