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A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment
random walk in random environment RWRE law of large numbers
2009/4/29
We prove that random walks in i.i.d. random environments which oscillate in a given direction have velocity zero with respect to that direction. This complements existing results thus giving a general...
Fill's Algorithm for Absolutely Continuous Stochastically Monotone Kernels
Markov chain Monte Carlo Fill's algorithm perfect sampling exact sampling rejection sampling partially ordered set monotone coupling
2009/4/29
Fill, Machida, Murdoch, and Rosenthal (2000) presented their algorithm and its variants to extend the perfect sampling algorithm of Fill (1998) to chains on continuous state spaces. We consider their ...
Geodesics and Recurrence of Random Walks in Disordered Systems
Random environment with stationary conductances Geodesicsin in first-passage percolation model Recurrence and transience
2009/4/29
In a first-passage percolation model on the square lattice $Z^2$, if the passage times are independent then the number of geodesics is either $0$ or $+infty$. If the passage times are stationary, ergo...
Subdiagonal and Almost Uniform Distributions
Subdiagonal distribution almost uniform distribution exchangeable random order
2009/4/29
A distribution (function) F on [0,1] with F(t) less or equal t for all t is called subdiagonal. The extreme subdiagonal distributions are identified as those whose distribution functions are almost su...
An elementary proof of Hawkes's conjecture on Galton-Watson trees
Galton-Watson tree exact Hausdorff measure boundary branching measure sizebiased tree
2009/4/29
In 1981, J. Hawkes conjectured the exact form of the Hausdorff gauge function for the boundary of supercritical Galton-Watson trees under a certain assumption on the tail at infinity of the total mass...
Recurrent Graphs where Two Independent Random Walks Collide Finitely Often
Random walk Comb lattice collisions
2009/4/28
We present a class of graphs where simple random walk is recurrent, yet two independent walkers meet only finitely many times almost surely. In particular, the comb lattice, obtained from $Z^2$ by rem...
The results discussed here are most easily described in words using Bayesian terminology. For each n, there are probability distributions for the data conditional on a parameter, and there is also a p...
Long-term behavior for superprocesses over a stochastic flow
Superprocess stochastic flow log-Laplace equation long-term behavior
2009/4/28
We study the limit of a superprocess controlled by a stochastic flow as $ttoinfty$. It is proved that when $d le 2$, this process suffers long-time local extinction; when $dge 3$, it has a limit which...
现代指数形式理论评析
现代指数形式理论 评析
2009/4/14
统计指数是一种“对比性”指标。狭义理解的总指数通常采用综合指数或平均指数两种形式编制，它们都具有“综合性”和“平均性”两个特征：前者是指必须归纳多种商品价格或物量的综合对比关系，后者是指必须反映多种商品价格或物量的平均变动程度。
正交试验设计与方差分析在市场调查中的应用研究
正交试验设计 极差分析 方差分析 水平效应
2009/4/14
本文主要通过正交试验设计分析，确定组成产品/服务各主要因素在消费者心目中的相对重要程度以及各因素的水平效应。并在此基础上，对产品/服务的市场前景进行预测。
统计大家—Ronald . A. Fisher
统计 生物测定
2009/4/14
Ronald . Aylmer . Fisher(1890-1962)出生于英国伦敦，在剑桥大学攻读数学和物理。他早年居无定所——在一家投资公司任过职，在加拿大的一个农场工作过，在英国的公立学校教过书。他对生物测定学产生了兴趣，而这一兴趣令他在1919年加入了位于Rothamstd的一个世界著名的农业试验场。在那里，他负责对有关田间试验和天气记录的66年累积数据进行分类和再评估——在这个过程中他成...
我国经济增长的风险分析
VAR测算方法 测算结果
2009/4/14
新中国成立后，社会主义经济建设经历了三个不同特点的发展阶段。1953年制定和实施第一个“五年计划”，标志着社会主义经济建设的开始；1978年十一届三中全会召开后，我国依次进行了农村和城市的经济体制改革探索，实行有计划的商品经济运行模式；1992年后，以小平同志南巡讲话和“十四大”召开为标志，我国进入建设社会主义市场经济体制阶段。解放后我国经济建设取得了巨大的成就，特别是实行改革开放政策以来，中国经...
能从高尔夫球中检验出什么名堂来？
高尔夫球 检验 测量
2009/4/14
Par公司是一家较大的高尔夫球设施制造商。经理认为引进某种耐磨、持久的高尔夫球会使Par的市场占有率增加。因此Par的研究小组致力于一种为抵抗切割以及使球更耐用而设计的高尔夫球外膜的调查。对外膜的各种检验一度非常热门。
When Does a Randomly Weighted Self-normalized Sum Converge in Distribution?
Weighted Self-normalized Sum Distribution
2009/4/7
We determine exactly when a certain randomly weighted, self--normalized sum converges in distribution, partially verifying a 1965 conjecture of Leo Breiman. We, then, apply our results to characterize...
Optimising prediction error among completely monotone covariance sequences
Gaussian time series prediction error covariance sequences
2009/3/19
We provide a characterisation of Gaussian time series which optimise the one-step prediction error subject to the covariance sequence being completely monotone with the first m covariances specified. ...