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TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL.
Recent Progress on de Finetti's Notions of Exchangeability     Progress  interchangeability  concept       font style='font-size:12px;'> 2015/7/14
Recent Progress on de Finetti's Notions of Exchangeability.
Methods for Studying Coincidences     Birthday problems  Extrasensory perception  Jung  Kammerer  Multiple endpoints  Rare events  Synchronicity       font style='font-size:12px;'> 2015/7/14
This article illustrates basic statistical techniques for studying coincidences. These include data-gathering methods (informal anecdotes, case studies, observational studies, and experiments) and m...
An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoret...
STRONG STATIONARY TIMES VIA A NEW FORlM OF DUALITY     Markov chain  the stop time  XT       font style='font-size:12px;'> 2015/7/14
A strong stationary time for a Markov chain (X,) is a stopping time T for which XT is stationary and independent of T. Such times yield sharp bounds on certain measures of nonstationarity for X at...
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP.
De Moivre gave a simple closed form expression for the mean absolute deviation of the binomial distribution. Later authors showed that similar closed form expressions hold for many of the other cl...
Eigen Analysis for Some Examples of the Metropolis Algorithm     Analysis  the metropolis algorithm  example       font style='font-size:12px;'> 2015/7/14
Eigen Analysis for Some Examples of the Metropolis Algorithm.
Diaconis, P. and R. Graham, Binomial coefficient codes over GF(2) Discrete Mathematics 106/107 (1992) 181-188. In this note we study codes over GF(2) which are generated for given d and r by binar...
An affine walk on the hypercube     Markov chain  uniform distribution  cutoff phenomena  Fourier analysis  code       font style='font-size:12px;'> 2015/7/14
Diaconis, P. and R. Graham, An affine walk on the hypercube, Journal of Computational and Applied Mathematics 41 (1992) 215-235. Let Z$ be the group of binary d-tuples. We study the process X,, = AX...
Universal cycles for combinatorial structures     Gm  cycle  composite structure       font style='font-size:12px;'> 2015/7/14
Universal cycles for combinatorial structures。
TRAILING THE DOVETAIL SHUFFLE TO ITS LAIR     Mobile card, any number of boundaries       font style='font-size:12px;'> 2015/7/14
We analyze the most commonly used method for shuffling cards. The main result is a simple expression for the chance of any arrangement after any number of shuffles. This is used to give sharp boun...
NONPARAMETRIC BINARY REGRESSION:A BAYESIAN APPROACH。
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
ALGEBRAIC STRUCTURES ON THE TOPOLOGY OF MODULI SPACES OF CURVES AND MAPS     MODULI SPACES  CURVES AND MAPS       font style='font-size:12px;'> 2015/7/14
We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems

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