An exploratory study of the bispectrum of economic time series, " Appl. Bispectra of ocean waves in time series analysis, " ed. by M. Rosenblatt, pp. 125-139, 1963. M. J. Hinich, " Testing for Gaussianity and linearity of a stationary time series, " J. Real time bispectral analysis of Gear noise and its applications to contactless diagnosis, ". I. A test for linearity of stationary time series,...

2007;119;152-153 Pediatrics Marshalyn Yeargin-Allsopp and Barbara Byers, Ronald Kallen, Susan E. Levy, Scott M. Myers, Alan I. Rosenblatt Vidya Bhushan Gupta, Susan L. Hyman, Chris Plauché Johnson, James Bryant, Identifying Children With Autism Early? http://www.pediatrics.org/cgi/content/full/119/1/152 located on the World Wide Web at: The online version of this article, along with updated inf...

Gradual learning as gradual adjustment of constraint values (Rosenblatt 1962, Boersma 1998) automatically yields weighting values that can be used in an account of gradient phonotactics, if the grammar is formulated in terms of Harmonic Grammar (HG; Legendre, Smolensky and Miyata 1990). I propose a new metric for gradient acceptability in HG, and show how a complex case of gradient phonotactics...

Long-range dependence in time series may yield non-central limit theorems. We show that there are analogous time series in free probability with limits represented by multiple Wigner integrals, where Hermite processes are replaced by non-commutative Tchebycheff processes. This includes the non-commutative fractional Brownian motion and the non-commutative Rosenblatt process. AMS subject classif...

More than forty years have passed since a learning machine called the perceptron was proposed by Rosenblatt. It has played a major role for these forty years, not only in the area of computational neuroscience in elucidating the function of cerebellum, but also in theoretical and practical studies of learning machines. The present talk reviews these developments from my personal point

In this paper we consider a class of impulsive stochastic functional differential equations driven simultaneously by Rosenblatt process and standard Brownian motion in Hilbert space. We prove an existence uniqueness result establish some conditions ensuring the approximate controllability for mild solution means Banach fixed point principle. At end provide practical example order to illustrate ...

The purpose of this paper is to estimate the self-similarity index of the Rosenblatt process by using the Whittle estimator. Via chaos expansion into multiple stochastic integrals, we establish a non-central limit theorem satisfied by this estimator. We illustrate our results by numerical simulations. 2000 AMS Classification Numbers: Primary: 60G18; Secondary 60F05, 60H05, 62F12.