betaII(VGAM)
betaII()所属R语言包:VGAM
Beta Distribution of the Second Kind
第二类Beta分布
译者:生物统计家园网 机器人LoveR
描述----------Description----------
Maximum likelihood estimation of the 3-parameter beta II distribution.
3参数测试II分布的最大似然估计。
用法----------Usage----------
betaII(lscale = "loge", lshape2.p = "loge", lshape3.q = "loge",
escale = list(), eshape2.p = list(), eshape3.q = list(),
iscale = NULL, ishape2.p = 2, ishape3.q = 2, zero = NULL)
参数----------Arguments----------
参数:lscale, lshape2.p, lshape3.q
Parameter link functions applied to the (positive) parameters scale, p and q. See Links for more choices.
参数链接功能施加到(正的)参数scale,p和q。见Links更多的选择。
参数:escale, eshape2.p, eshape3.q
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:iscale, ishape2.p, ishape3.q
Optional initial values for scale, p and q.
可选初始值scale,p和q。
参数:zero
An integer-valued vector specifying which linear/additive predictors are modelled as intercepts only. Here, the values must be from the set {1,2,3} which correspond to scale, p, q, respectively.
指定一个整数值向量线性/添加剂的预测模型仅作为拦截。在这里,值必须是从集合{1,2,3}scale,p,q,分别对应。
Details
详细信息----------Details----------
The 3-parameter beta II is the 4-parameter generalized beta II distribution with shape parameter a=1. It is also known as the Pearson VI distribution. Other distributions which are special cases of the 3-parameter beta II include the Lomax (p=1) and inverse Lomax (q=1). More details can be found in Kleiber and Kotz (2003).
三参数测试版II的4个参数广义贝塔II分布形状参数a=1的。它也被称为的Pearson VI分布。这是特殊情况下的三参数测试版II包括其他分派洛马克斯(p=1)和逆洛马克斯(q=1)。更多的细节可以发现克莱伯和科茨(2003年)。
The beta II distribution has density
β-II分布密度
for b > 0, p > 0, q > 0, y > 0. Here, b is the scale parameter scale, and the others are shape parameters. The mean is
为b > 0,p > 0,q > 0,y > 0。在这里,b是尺度参数scale,而其余的为形状参数。意思是
provided q > 1; these are returned as the fitted values.
提供q > 1,这些传回的拟合值。
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----------
See the note in genbetaII.
见附注在genbetaII。
(作者)----------Author(s)----------
T. W. Yee
参考文献----------References----------
Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
参见----------See Also----------
betaff, genbetaII, dagum, sinmad, fisk, invlomax, lomax, paralogistic, invparalogistic.
betaff,genbetaII,dagum,sinmad,fisk,invlomax,lomax,paralogistic,invparalogistic。
实例----------Examples----------
bdata = data.frame(y = rsinmad(2000, shape1.a = 1, 6, 2)) # Not genuine data![不是真正的数据!]
fit = vglm(y ~ 1, betaII, bdata, trace = TRUE)
fit = vglm(y ~ 1, betaII(ishape2.p = 0.7, ishape3.q = 0.7),
bdata, trace = TRUE)
coef(fit, matrix = TRUE)
Coef(fit)
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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