Time Series, Fuzzy Analysis and Miscellaneous TopicsWalter de Gruyter, 2 août 2011 - 789 pages Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research.This book together with the other two volumes (Volume 1: Nonparametric Methods in Statistics and Related Topics; Volume 2: Probability Theory and Extreme Value Theory), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible.The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri's publications. |
Table des matières
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Statistical Theory and Data Analysis II 1988 495499 North Holland Publishing Company | 89 |
Asymptotically most powerful rank tests for multivariate randomness against serial dependence Journal of Multivariate Analysis 30 1989 3471 | 94 |
Weak convergence of the Ustatistic and weak invariance of the onesample rank order statistic for Markov processes and ARMA models Journal of M... | 132 |
Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes Annals of Probability 18 1990 13... | 140 |
Limit theorems for fuzzy random variables Proceedings of the Royal Society of London 407 1986 171182 | 470 |
Convergence theorem for fuzzy martingales Journal of Mathematical Analysis and Applications 160 1991 107122 | 482 |
Asymptotics in Statistics and Probability Papers in Honor of George Gregory Roussas VSP International Science Publishers The Netherlands 2000 33... | 498 |
Central limit theorem for Banach space valued fuzzy random variables Proceedings of the American Mathematical Society 130 2002 14931501 | 515 |
Strong law of large numbers for Banach space valued fuzzy random variables Journal of Theoretical Probability 15 2002 543552 | 524 |
Part III MISCELLANEOUS TOPICS | 533 |
Local maxima of the sample functions of the Nparameter Bessel process Stochastic Processes and Their Applications 9 1979 137145 | 535 |
Realization of lp by spaces of random variables Applicable Analysis 8 1979 337347 | 544 |
Asymptotic normality of Lstatistics based on mndecomposable time series Journal of Multivariate Analysis 35 1990 260275 | 167 |
signedrank tests for ARMA models Journal of Multivariate Analysis 39 1991 129 | 183 |
New Directions in Time Series Analysis the IMA Volume in Mathematics and Its Applications 45 1992 111153 SpringerVerlag New YorkHeidelberg... | 212 |
Nonparametric prediction for random fields Stochastic Processes and Their Applications 48 1993 139156 | 255 |
Asymptotic behavior of Lstatistics for a large class of time series Annals of the Institute of Statistical Mathematics 45 1993 687701 | 273 |
Aligned rank tests for linear models with autocorrelated error terms Journal of Multivariate Analysis 50 1994 175237 | 288 |
Change curves in the presence of dependent noise ChangePoint Problems a volume in the IMS Lecture Notes and Monograph Series Volume 23 199... | 351 |
A multivariate WaldWolfowitz rank test against serial dependence The Canadian Journal of Statistics 23 1995 5565 | 364 |
Nonparametric approach for nonGaussian vector stationary processes Journal of Multivariate Analysis 56 1996 259283 | 375 |
A unifying technique The Journal of Time Series Analysis 21 2000 249260 | 400 |
Part II FUZZY SET THEORY AND RELATED TOPICS | 413 |
Integration on fuzzy sets Advances in Applied Mathematics 3 1982 430434 | 415 |
A possibility measure is not a fuzzy measure Fuzzy Sets and Systems 7 1982 311313 | 420 |
Strong law of large numbers for Banach space valued random sets Annals of Probability 11 1983 222224 | 423 |
Strong law of large numbers with respect to a setvalued probability measure Annals of Probability 11 1983 10511054 | 426 |
Differentials of fuzzy functions Journal of Mathematical Analysis and Applications 91 1983 552558 | 430 |
The concept of normality for fuzzy random variables Annals of Probability 13 1985 13731379 | 437 |
Limit theorems for random compact sets in Banach space Mathematical Proceedings of the Cambridge Philosophical Society 97 1985 151158 | 444 |
Fuzzy random variables Journal of Mathematical Analysis and Applications 114 1986 409422 | 452 |
Gaussian random sets in Banach space Teoria Veroyatnostei i ee Primeneniya also in Theory of Probability and Its Applications Translation by SIAM... | 466 |
Shorted operators and generalized inverses of matrices Linear Algebra and its Applications 25 1979 4556 | 555 |
Complex planar splines Journal of Approximation Theory 31 1981 383402 | 567 |
Shorted matrices an extended concept and some applications Linear Algebra and its Applications 42 1982 5779 | 587 |
The fundamental bordered matrix of linear estimation and the DuffinMorley general linear electromechanical systems Applicable Analysis 14 1983 2... | 610 |
Complex Chebyshev polynomials and generalizations with an application to the optimal choice of interpolating knots in complex planar splines Jour... | 628 |
Strong solutions of stochastic differential equations for multiparameter processes Stochastics 17 1986 1941 | 641 |
A new semigroup technique in Poisson approximation Semigroup Forum 38 1989 189201 | 664 |
Multidisciplinary Conceptions Kluwer Academic Publishers BostonDordrechtLancaster 1990 451469 | 677 |
A local algorithm for constructing nonnegative cubic splines Journal of Approximation Theory 64 1991 116 | 696 |
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... | 712 |
Maximum likelihood estimation for stationary point processes Proceedings of the National Academy of Sciences USA 83 1986 541545 | 720 |
On timereversibility and the uniqueness of moving average representations for nonGaussian stationary time series Biometrika 75 1988 170171 | 725 |
Locally asymptotically rankbased procedures for testing autoregressive moving average dependence Proceedings of the National Academy of Scienc... | 727 |
On some limit laws for perturbed empirical distribution functions Statistics and Probability Letters 21 1994 317321 | 732 |
Part IV APPENDICES | 737 |
A Volume 1 Nonparametric Methods in Statistics and Related Topics Contents | 739 |
B Volume 2 Probability Theory and Extreme Value Theory Contents | 745 |
C The Publications of Madan Lal Puri | 751 |
Expressions et termes fréquents
aligned rank applications ARMA model assumptions asymptotic distribution asymptotically maximin asymptotically normal autocorrelation autocorrelation coefficients b₁ Banach space central limit theorem Co-author compact consider convergence convex covariance matrix defined denote distribution function estimation exists finite follows fuzzy random variables fuzzy sets Gaussian Hallin Harel Hausdorff distance implies Ingenbleek integral invariance large numbers law of large Lemma linear serial rank locally asymptotically Math Mathematics maximin most powerful measure metric multivariate nonparametric null hypothesis optimal order statistics P₁ parameter powerful test probability problem of testing proof properties Puri Puri and Ralescu quadratic random compact sets random sets rank tests rank-based respect result Ruymgaart satisfies Section sequence serial dependence serial rank statistics set-valued stochastic subsets test statistic tests for randomness theory U-statistics unspecified values variance vector white noise X₁ zero