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51.
递推M-估计的强收敛性 总被引:2,自引:0,他引:2
本文对u1(t)为单调递增这一比较常见的情形和在其它一些比较常见的条件 下,证明了M-估计递推算法中回归系数和散布矩阵的强相合性. 相似文献
52.
Beda Chan 《Insurance: Mathematics and Economics》1982,1(4):241-243
We apply power series techniques for differential equations on probability generating functions to derive recursive formulas for discrete compound distributions. Such formulas are computationally effective and useful in risk theory. 相似文献
53.
54.
《Optimization》2012,61(1-2):181-192
In this paper we examine an N-stage stochastic decision model with a recursive reward structure whose state and action spaces are standard Borel ones. The central results relate to the validity of the optimality equations and to the sufficiency of deterministic strategies. The results expand statements known for classical dynamic programming problems with additive total rewards to a wide class of recursive reward functions under certain monotonicity and continuity assumptions. The existence of an expected utility representation of the total rewards is generally not presupposed 相似文献
55.
Lennart Bondesson 《Linear and Multilinear Algebra》2013,61(3):239-247
A nonsymmetric N?×?N matrix with elements as certain simple functions of N distinct real or complex numbers r 1, r 2, …, rN is presented. The matrix is special due to its eigenvalues???the consecutive integers 0,1,2, …, N?1. Theorems are given establishing explicit expressions of the right and left eigenvectors and formulas for recursive calculation of the right eigenvectors. A special case of the matrix has appeared in sampling theory where its right eigenvectors, if properly normalized, give the inclusion probabilities of the conditional Poisson sampling design. 相似文献
56.
Sinan Yildirim Sumeetpal S. Singh Arnaud Doucet 《Journal of computational and graphical statistics》2013,22(4):906-926
Changepoint models are widely used to model the heterogeneity of sequential data. We present a novel sequential Monte Carlo (SMC) online expectation–maximization (EM) algorithm for estimating the static parameters of such models. The SMC online EM algorithm has a cost per time which is linear in the number of particles and could be particularly important when the data is representable as a long sequence of observations, since it drastically reduces the computational requirements for implementation. We present an asymptotic analysis for the stability of the SMC estimates used in the online EM algorithm and demonstrate the performance of this scheme by using both simulated and real data originating from DNA analysis. The supplementary materials for the article are available online. 相似文献
57.
Ash and Nerode [2] gave natural definability conditions under which a relation is intrinsically r. e. Here we generalize this to arbitrary levels in Ershov's hierarchy of Δ sets, giving conditions under which a relation is intrinsically α-r. e. Mathematics Subject Classification: 03C57, 03D55. 相似文献
58.
Arcadii Z. Grinshpan 《The Ramanujan Journal》2008,15(2):187-196
An integral recursive inequality for two functions is obtained. It is used to describe the equality cases in the related inequalities.
The applications involve some bi-Hermitian forms, integral transformations, and confluent hypergeometric functions.
相似文献
59.
E. W. Madison 《Acta Mathematica Hungarica》2003,98(1-2):31-37
The Baire category theorem for compact Hausdorff spaces is used to show that any recursive completion ℬϕof the countable atomless Boolean algebra ℬ is ℬrecursively closed." Also, a theorem of R.D. Anderson on the simplicity of
Aut(ℬ) is used to show that uncountably many automorphisms of ℬ extend to ℬϕ.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
60.
R. DeVault G. Ladas S. W. Schultz 《Proceedings of the American Mathematical Society》1998,126(11):3257-3261
We show that every positive solution of the equation
where , converges to a period two solution.