Selected Collected Works: Volume 3 Time Series, Fuzzy Analysis and Miscellaneous Topics

The future of English linguistics as envisaged by the editors of Topics in English Linguistics lies in empirical studies which integrate work in English linguistics into general and theoretical linguistics on the one hand, and comparative linguistics on the other. The TiEL series features volumes that present interesting new data and analyses, and above all fresh approaches that contribute to the overall aim of the series, which is to further outstanding research in English linguistics. Preface Part I. TIME SERIES AND RELATED TOPICS Linear serial rank tests for randomness against ARMA alternatives. Annals of Statistics, 13 (1985), 1156–1181 Linear and quadratic serial rank tests for randomness against serial dependence. Journal of Time Series Analysis, 8 (1987), 409–424 Locally asymptotically optimal tests for randomness. New Perspectives in Theoretical and Applied Statistics, John Wiley and Sons, New York (1987), 87–99 Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models. Annals of Statistics, 16 (1988), 402–432 On locally asymptotically maximin tests for ARMA processes. In: Statistical Theory and Data Analysis II. (1988), 495–499. North Holland Publishing Company Asymptotically most powerful rank tests for multivariate randomness against serial dependence. Journal of Multivariate Analysis, 30 (1989), 34–71 Weak convergence of the U-statistic and weak invariance of the one-sample rank order statistic for Markov processes and ARMA models. Journal of Multivariate Analysis, 31 (1989), 258–265 Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes. Annals of Probability, 18 (1990), 1361–1387 Asymptotic normality of L-statistics based on m(n)-decomposable time series. Journal of Multivariate Analysis, 35 (1990), 260–275 Time series analysis via rank order theory: signed-rank tests for ARMA models. Journal of Multivariate Analysis, 39 (1991), 1–29 Rank tests for time series analysis. A survey. In: New Directions in Time Series Analysis (the IMA Volume in Mathematics and Its Applications) 45 (1992), 111–153. Springer-Verlag, New York/Heidelberg/Berlin Nonparametric prediction for random fields. Stochastic Processes and Their Applications, 48 (1993), 139–156 Asymptotic behavior of L-statistics for a large class of time series. Annals of the Institute of Statistical Mathematics, 45 (1993), 687–701 Aligned rank tests for linear models with autocorrelated error terms. Journal of Multivariate Analysis, 50 (1994), 175–237 Change curves in the presence of dependent noise. Change-Point Problems, a volume in the IMS Lecture Notes and Monograph Series, Volume 23 (1994), 242–254 A multivariate Wald-Wolfowitz rank test against serial dependence. The Canadian Journal of Statistics, 23 (1995), 55–65 Nonparametric approach for non-Gaussian vector stationary processes. Journal of Multivariate Analysis, 56 (1996), 259–283 The limiting density of unit root test statistics: A unifying technique. The Journal of Time Series Analysis, 21 (2000), 249–260 Part II. FUZZY SET THEORY AND RELATED TOPICS Integration on fuzzy sets. Advances in Applied Mathematics, 3 (1982), 430–434 A possibility measure is not a fuzzy measure. Fuzzy Sets and Systems, 7 (1982), 311–313 Strong law of large numbers for Banach space valued random sets. Annals of Probability, 11 (1983), 222–224 Strong law of large numbers with respect to a set-valued probability measure. Annals of Probability, 11 (1983), 1051–1054 Differentials of fuzzy functions. Journal of Mathematical Analysis and Applications, 91 (1983), 552–558 The concept of normality for fuzzy random variables. Annals of Probability, 13 (1985), 1373–1379 Limit theorems for random compact sets in Banach space. Mathematical Proceedings of the Cambridge Philosophical Society, 97 (1985), 151–158 Fuzzy random variables. Journal of Mathematical Analysis and Applications, 114 (1986), 409–422 Gaussian random sets in Banach space. Teoria Veroyatnostei i ee Primeneniya (also in Theory of Probability and Its Applications, Translation by SIAM), 31 (1986), 598–601 Limit theorems for fuzzy random variables. Proceedings of the Royal Society of London, 407 (1986), 171–182 Convergence theorem for fuzzy martingales. Journal of Mathematical Analysis and Applications, 160 (1991), 107–122 Limit theorems for fuzzy random variables. In: Asymptotics in Statistics and Probability: Papers in Honor of George Gregory Roussas. VSP International Science Publishers, The Netherlands (2000), 331–346 Central limit theorem for Banach space valued fuzzy random variables. Proceedings of the American Mathematical Society, 130 (2002), 1493–1501 Strong law of large numbers for Banach space valued fuzzy random variables. Journal of Theoretical Probability, 15 (2002), 543–552 Part III. MISCELLANEOUS TOPICS Local maxima of the sample functions of the N-parameter Bessel process. Stochastic Processes and Their Applications, 9 (1979), 137–145 Realization of lp by spaces of random variables. Applicable Analysis, 8 (1979), 337–347 Shorted operators and generalized inverses of matrices. Linear Algebra and its Applications, 25 (1979), 45–56 Complex planar splines. Journal of Approximation Theory, 31 (1981), 383–402 Shorted matrices – an extended concept and some applications. Linear Algebra and its Applications, 42 (1982), 57–79 The fundamental bordered matrix of linear estimation and the Duffin-Morley general linear electromechanical systems. Applicable Analysis, 14 (1983), 241–258 Complex Chebyshev polynomials and generalizations with an application to the optimal choice of interpolating knots in complex planar splines. Journal of Approximation Theory, 37 (1983), 89–101 Strong solutions of stochastic differential equations for multiparameter processes. Stochastics, 17 (1986), 19–41 A new semigroup technique in Poisson approximation. Semigroup Forum, 38 (1989), 189–201 Information. Acting Under Uncertainty: Multidisciplinary Conceptions. Kluwer Academic Publishers, Boston/Dordrecht/Lancaster (1990), 451–469 A local algorithm for constructing non-negative cubic splines. Journal of Approximation Theory, 64 (1991), 1–16 The time spent by the Wiener process in a narrow tube before leaving a wide tube. Proceedings of the American Mathematical Society, 117 (1993), 529–536 Maximum likelihood estimation for stationary point processes. Proceedings of the National Academy of Sciences, U.S.A., 83 (1986), 541–545 On time-reversibility and the uniqueness of moving average representations for non-Gaussian stationary time series. Biometrika, 75 (1988), 170–171 Locally asymptotically rank-based procedures for testing autoregressive moving average dependence. Proceedings of the National Academy of Sciences, U.S.A., 85 (1988), 2031–2035 On some limit laws for perturbed empirical distribution functions. Statistics and Probability Letters, 21 (1994), 317–321 Part IV. APPENDICES A. Volume 1. Nonparametric Methods in Statistics and Related Topics Contents B. Volume 2. Probability Theory and Extreme Value Theory Contents C. The Publications of Madan Lal Puri