标题： 形状理论通过QR分解 显示英文标题

标题： Shape Theory via QR decomposition

摘要： 本文通过QR分解在球面多项式背景下建立了各向异性非中心椭圆形状分布，避免了不变多项式及其计算中的开放问题。 新的形状分布易于计算，因此推断过程可以在精确密度下而不是在发表的近似密度和各向同性模型下的渐近密度下进行研究。 生物学中的一个应用在经典高斯方法以及两个非高斯模型下进行了研究。 显示英文摘要

摘要： This work sets the non isotropic noncentral elliptical shape distributions via QR decomposition in the context of zonal polynomials, avoiding the invariant polynomials and the open problems for their computation. The new shape distributions are easily computable and then the inference procedure can be studied under exact densities instead under the published approximations and asymptotic densities under isotropic models. An application in Biology is studied under the classical gaussian approach and a two non gaussian models.