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9789067643863

Time Series, Fuzzy Analysis and Miscellaneous Topics

by ; ; ;
  • ISBN13:

    9789067643863

  • ISBN10:

    9067643866

  • Format: Hardcover
  • Copyright: 2003-08-01
  • Publisher: Mouton De Gruyter

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Summary

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 of Contents

Preface xiii
Part I. TIME SERIES AND RELATED TOPICS
Linear serial rank tests for randomness against ARMA alternatives (with Marc Hallin and Jean-Francois Ingenbleek)
Annals of Statistics, 13 (1985), 1156-1181.
3(26)
Linear and quadratic serial rank tests for randomness against serial dependence (with Marc Hallin and Jean-François Ingenbleek)
Journal of Time Series Analysis, 8 (1987), 409-424.
29(16)
Locally asymptotically optimal tests for randomness (with Marc Hallin)
New Perspectives in Theoretical and Applied Statistics, John Wiley and Sons, New York (1987), 87-99.
45(13)
Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models (with Marc Hallin)
Annals of Statistics, 16 (1988), 402-432.
58(31)
On locally asymptotically maximin tests for ARMA processes (with Marc Hallin)
In: Statistical Theory and Data Analysis II (Editor: K Matusita) (1988), 495-499. North Holland Publishing Company.
89(5)
Asymptotically most powerful rank tests for multivariate randomness against serial dependence (with Marc Hallin and Jean Francois Ingenbleek)
Journal of Multivariate Analysis, 30 (1989), 34-71.
94(38)
Weak convergence of the U -statistic and weak invariance of the one-sample rank order statistic for Markov processes and ARMA models (with Michel Harel)
Journal of Multivariate Analysis, 31 (1989), 258-265.
132(8)
Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes ( with Michel Harel)
Annals of Probability,18 (1990),1361-1387.
140(27)
Asymptotic normality of L-statistics based on m(n)-decomposable time series (with K.C. Chancla and F.H. Ruymgaart)
Journal of Multivariate Analysis, 35 (1990), 260-275.
167(16)
Time series analysis via rank order theory: signed-rank tests for ARMA models (with Marc Hallin)
Journal of Multivariate Analysis, 39 (1991), 1-29.
183(29)
Rank tests for time series analysis. A survey (with Marc Hallin)
In: New Directions in Time Series Analysis (the IMA Volume in Mathematics and Its Applications) 45 (1992), 111-153. (Editors: David Brillinger, Emanuel Parzen, Murray Rosenblatt et al.). Springer-Verlag, New York/Heidelberg/Berlin.
212(43)
Nonparametric prediction for random fields (with Frits H. Ruymgaart)
Stochastic Processes and Their Applications, 48 (1993), 139-156.
255(18)
Asymptotic behavior of L-statistics for a large class of time series (with Frits H. Ruymgaart)
Annals of the Institute of Statistical Mathematics, 45 (1993), 687-701.
273(15)
Aligned rank tests for linear models with autocorrelated error terms (with Marc Hallin)
Journal of Multivariate Analysis, 50 (1994), 175-237.
288(63)
Change curves in the presence of dependent noise (with Frits H. Ruymgaart)
Change-Point Problems, a volume in the IMS Lecture Notes and Monograph Series, Volume 23 (1994), 242-254.
351(13)
A multivariate Wald-Wolfowitz rank test against serial dependence (with Marc Hallin)
The Canadian Journal of Statistics, 23 (1995), 55-65.
364(11)
Nonparametric approach for non-Gaussian vector stationary processes (with Masanobu Taniguchi and Masao Kondo)
Journal of Multivariate Analysis, 56 (1996), 259-283.
375(25)
The limiting density of unit root test statistics: A unifying technique (with Mithat Gönen, Frits H. Ruymgaart and Martien C.A. van Zuijlen)
The Journal of Time Series Analysis, 21 (2000), 249-260.
400(15)
Part II. FUZZY SET THEORY AND RELATED TOPICS
Integration on fuzzy sets (with Dan A. Ralescu)
Advances in Applied Mathematics, 3 (1982), 430-434.
415(5)
A possibility measure is not a fuzzy measure (with Dan Ralescu)
Fuzzy Sets and Systems, 7 (1982), 311-313.
420(3)
Strong law of large numbers for Banach space valued random sets (with Dan A. Ralescu)
Annals of Probability, 11 (1983), 222-224.
423(3)
Strong law of large numbers with respect to a set-valued probability measure (with Dan A. Ralescu)
Annals of Probability, 11 (1983), 1051-1054.
426(4)
Differentials of fuzzy functions (with Dan A. Ralescu)
Journal of Mathematical Analysis and Applications, 91 (1983), 552-558.
430(7)
The concept of normality for fuzzy random variables (with Dan A. Ralescu)
Annals of Probability, 13 (1985), 1373-1379.
437(7)
Limit theorems for random compact sets in Banach space (with Dan A. Ralescu)
Mathematical Proceedings of the Cambridge Philosophical Society, 97 (1985), 151-158.
444(8)
Fuzzy random variables (with Dan A. Ralescu)
Journal of Mathematical Analysis and Applications, 114 (1986), 409-422.
452(14)
Gaussian random sets in Banach space (with D.A. Ralescu and S.S. Ralescu)
Teoria Veroyatnostei i ee Primeneniya (also in Theory of Probability and Its Applications, Translation by SIAM), 31 (1986), 598-601.
466(4)
Limit theorems for fuzzy random variables (with E.P. Klement and D.A. Ralescu)
Proceedings of the Royal Society of London, 407 (1986), 171-182.
470(12)
Convergence theorem for fuzzy martingales (with Dan A. Ralescu)
Journal of Mathematical Analysis and Applications, 160 (1991), 107-122.
482(16)
Limit theorems for fuzzy random variables (with F.N. Proske)
In: Asymptotics in Statistics and Probability: Papers in Honor of George Gregory Roussas. USP International Science Publishers, The Netherlands (2000), 331-346.
498(17)
Central limit theorem for Banach space valued fuzzy random variables (with Frank N. Proske)
Proceedings of the American Mathematical Society, 130 (2002), 1493-1501.
515(9)
Strong law of large numbers for Banach space valued fuzzy random variables (with Frank N. Proske)
Journal of Theoretical Probability, 15 (2002), 543-552.
524(11)
Part III. MISCELLANEOUS TOPICS
Local maxima of the sample functions of the N-parameter Bessel process (with Lanh Tat Tran)
Stochastic Processes and Their Applications, 9 (1979), 137-145.
535(9)
Realization of In by spaces of random variables (with Shey Shiung Sheu)
Applicable Analysis, 8 (1979), 337-347.
544(11)
Shorted operators and generalized inverses of matrices (with Sujit Kumar Mitra)
Linear Algebra and its Applications, 25 (1979), 45-56.
555(12)
Complex planar splines (with Gerhard Opfer)
Journal of Approximation Theory, 31 (1981), 383-402.
567(20)
Shorted matrices - an extended concept and some applications (with Sujit Kumar Mitra)
Linear Algebra and its Applications, 42 (1982), 57-79.
587(23)
The fundamental bordered matrix of linear estimation and the Duffin-Morley general linear electromechanical systems (with Sujit Kumar Mitra)
Applicable Analysis, 14 (1983), 241-258.
610(18)
Complex Chebyshev polynomials and generalizations with an application to the optimal choice of interpolating knots in complex planar splines (with Gerhard Opfer)
Journal of Approximation Theory, 37 (1983), 89-101.
628(13)
Strong solutions of stochastic differential equations for multiparameter processes (with Markus Dozzi)
Slochastics, 17 (1986), 19-41.
641(23)
A new semigroup technique in Poisson approximation (with P. Deheuvels and D. Pfeifer)
Semigroup Forum, 38 (1989), 189-201.
664(13)
Information (with H.L. Resnikoff)
Acting Under Uncertainty: Multidisciplinary Conceptions (Editor: George von Furstenberg). Kluwer Academic Publishers, Boston/Dordrecht/Lancaster (1990), 451-469.
677(19)
A local algorithm for constructing non-negative cubic splines (with Bernd Fischer and Gerhard Opfer)
Journal of Approximation Theory, 64 (1991), 1-16.
696(16)
The time spent by the wiener process in a narrow tube before leaving a wide tube (with Antonia Földes)
Proceedings of the American Mathematical Society, 117 (1993), 529-536.
712(8)
Maximum likelihood estimation for stationary point processes (with Pham D. Tuan)
Proceedings of the National Academy of Sciences, U.S.A., 83 (1986), 541-545.
720(5)
On time-reversibility and the uniqueness of moving average representations for non-Gaussian stationary time series (with Marc Hallin and Claude Lefevre)
Biometrika, 75 (1988), 170-171.
725(2)
Locally asymptotically rank-based procedures for testing autoregressive moving average dependence (with Marc Hallin)
Proceedings of the National Academy of Sciences, USA. , 85 (1988), 2031-2035.
727(5)
On some limit laws for perturbed empirical distribution functions (with Manfred Denker)
Statistics and Probability Letters, 21 (1994), 317-321.
732(7)
Part IV. APPENDICES
A. Volume 1.
Nonparametric Methods in Statistics and Related Topics
Contents
739(6)
B. Volume 2.
Probability Theory and Extreme Value Theory
Contents
745(6)
C. The Publications of Madan Lal Puri
751

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