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本将随机效应当作是缺失数据, 基于Q函数和EM算法并利用P-样条拟合非参数部分, 得到了纵向数据半参数Beta回归模型估计方法．基于数据删除模型, 我们得到了模型参数部分的广义Cook距离以及非参数部分的广义DFIT. 此外, 本文还研究了 在四种不同扰动情形下模型的局部影响分析, 得到了相应的影响矩阵. 最后, 我们通过两个数值实例验证了所得诊断统计量的有效性.
Equivalencies between beta-shifts and S-gap shifts
S-gap shift fi-shift shift of finite type sofic right-resolving synchronized finite equivalence
2012/7/11
Let $ X_{\beta}$ be a sofic $ \beta $-shift for $ \beta \in (1,\,2] $?#128;Ž. ?#128;ŽWe show that there is an $ S $-gap shift $ X(S) $ such that $ X_{\beta} $ and $ X(S) $ are right-resolvin...
Beta函数的推广
B(p,q) B(p,q,s) B(p1,p2,p3,…pn)
2011/9/30
欧拉积分（Beta函数和Gamma函数）具有很好的性质，在数学中占有十分重要的地位。两者之间存在着非常优美的关系，基于此基础本文先对Beta函数作类似的三元情形推广，以引理形式直接给出了它的相应的积分表达；然后讨论了三元Beta函数的一系列性质，主要有对称性、与二元Beta函数的关系、递推关系、连续性、其他表达形式等；最后又将其推广到n元函数的情况，并给出了它的积分表达式。此外，依据Gamma函数...
Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
The asymptotic distribution of the length of Beta-coalescent trees
Beta-coalescent coupling, point process stable distribution Probability
2011/9/6
Abstract: We derive the asymptotic distribution of the total length $L_n$ of a Beta($2-\alpha,\alpha$)-coalescent tree for $1<\alpha < 2$, starting from $n$ individuals. There are two regimes: If $\al...
Asymptotic expansion of beta matrix models in the one-cut regime
Asymptotic expansion beta matrix models the one-cut regime Probability
2011/8/26
Abstract: We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus,...
Generalized Species Sampling Priors with Latent Beta reinforcements
Generalized Species Priors Latent Beta reinforcements
2011/1/18
Many popular Bayesian Nonparametric priors can be characterized in terms of exchangeable species sampling sequences. One example is the Dirichlet Process prior,that has been increasingly used for mode...
Beta Spaces: New Generalizations of Typically-Metric Properties
Beta Spaces Typically-Metric Properties
2010/11/23
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-metric properties. The...
Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts, and their factors
beta-shifts S-gap shifts factors
2010/11/18
We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As a...
Geometry of the Banach spaces C(beta mathbb N times K, l_p) for compact metric spaces K
Geometry of the Banach spaces C compact metric spaces K
2010/11/19
In this paper we provide the complete isomorphic classification of the spaces C(beta mathbb N times K, l_p) of all continuous l_p-valued functions, 1 <= p < infinity, defined on the topological produ...
Quadratic harnesses from generalized beta integrals
Quadratic conditional moments generalized beta integrals harnesses
2010/12/13
We use generalized beta integrals to construct examples of Markov processes with linear regressions, and quadratic second conditional moments.
An analogue of Brylinski’s knot beta function is defined for a submanifold of d-dimensional Euclidean space. This is a meromorphic function on the complex plane.The first few residues are computed for...
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
Topological expansion of beta-ensemble model quantum algebraic geometry sectorwise approach
2010/12/14
We solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = 1. For β = 1, the solution was expressed using the algebraic spectral curve of equa...
Logarithmic potential beta-ensembles and Feynman graphs
Logarithmic potential beta-ensembles Feynman graphs
2010/12/14
We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue
model (the model with arbitrary power β by the Vandermonde) to all orders of 1/N expansion in
the case ...