Madan Lal Puri 
Time Series, Fuzzy Analysis and Miscellaneous Topics [PDF ebook] 

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I-XII — PREFACE — Part I: Time Series and Related Topics — LINEAR SERIAL RANK TESTS FOR RANDOMNESS AGAINST ARMA ALTERNATIVES — LINEAR AND QUADRATIC SERIAL RANK TESTS FOR RANDOMNESS AGAINST SERIAL DEPENDENCE — LOCALLY ASYMPTOTICALLY OPTIMAL TESTS FOR RANDOMNESS — OPTIMAL RANK-BASED PROCEDURES FOR TIME SERIES ANALYSIS: TESTING AN ARMA MODEL AGAINST OTHER ARMA MODELS — ON LOCALLY ASYMPTOTICALLY MAXIMIN TESTS FOR ARMA PROCESSES — ASYMPTOTICALLY MOST POWERFUL RANK TESTS FOR MULTIVARIATE RANDOMNESS AGAINST SERIAL DEPENDENCE — WEAK CONVERGENCE OF THE U-STATISTIC AND WEAK INVARIANCE OF THE ONE-SAMPLE RANK ORDER STATISTIC FOR MARKOV PROCESSES AND ARMA MODELS — WEAK CONVERGENCE OF SERIAL RANK STATISTICS UNDER DEPENDENCE WITH APPLICATIONS IN TIME SERIES AND MARKOV PROCESSES — ASYMPTOTIC NORMALITY OF L-STATISTICS BASED ON m(n)-DECOMPOSABLE TIME SERIES — TIME SERIES ANALYSIS VIA RANK ORDER THEORY: SIGNED-RANK TESTS FOR ARMA MODELS — RANK TESTS FOR TIME SERIES ANALYSIS. A SURVEY — NONPARAMETRIC PREDICTION FOR RANDOM FIELDS — ASYMPTOTIC BEHAVIOR OF L-STATISTICS FOR A LARGE CLASS OF TIME SERIES — ALIGNED RANK TESTS FOR LINEAR MODELS WITH AUTOCORRELATED ERROR TERMS — CHANGE CURVES IN THE PRESENCE OF DEPENDENT NOISE — A MULTIVARIATE WALD-WOLFOWITZ RANK TEST AGAINST SERIAL DEPENDENCE — NONPARAMETRIC APPROACH FOR NON-GAUSSIAN VECTOR STATIONARY PROCESSES — THE LIMITING DENSITY OF UNIT ROOT TEST STATISTICS: A UNIFYING TECHNIQUE — Part II: Fuzzy Set Theory and Related Topics — INTEGRATION ON FUZZY SETS — A POSSIBILITY MEASURE IS NOT A FUZZY MEASURE — STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED RANDOM SETS — STRONG LAW OF LARGE NUMBERS WITH RESPECT TO A SET-VALUED PROBABILITY MEASURE — DIFFERENTIALS OF FUZZY FUNCTIONS — THE CONCEPT OF NORMALITY FOR FUZZY RANDOM VARIABLES — LIMIT THEOREMS FOR RANDOM COMPACT SETS IN BANACH SPACE — FUZZY RANDOM VARIABLES — GAUSSIAN RANDOM SETS IN BANACH SPACE — LIMIT THEOREMS FOR FUZZY RANDOM VARIABLES — CONVERGENCE THEOREM FOR FUZZY MARTINGALES — LIMIT THEOREMS FOR FUZZY RANDOM VARIABLES — CENTRAL LIMIT THEOREM FOR BANACH SPACE VALUED FUZZY RANDOM VARIABLES — STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED FUZZY RANDOM VARIABLES — Part III: Miscellaneous Topics — LOCAL MAXIMA OF THE SAMPLE FUNCTIONS OF THE ? -PARAMETER BESSEL PROCESS — REALIZATION OF lp BY SPACES OF RANDOM VARIABLES — SHORTED OPERATORS AND GENERALIZED INVERSES OF MATRICES — COMPLEX PLANAR SPLINES — SHORTED MATRICES — AN EXTENDED CONCEPT AND SOME APPLICATIONS — THE FUNDAMENTAL BORDERED MATRIX OF LINEAR ESTIMATION AND THE DUFFIN-MORLEY GENERAL LINEAR ELECTROMECHANICAL SYSTEMS — COMPLEX CHEBYSHEV POLYNOMIALS AND GENERALIZATIONS WITH AN APPLICATION TO THE OPTIMAL CHOICE OF INTERPOLATING KNOTS IN COMPLEX PLANAR SPLINES — STRONG SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS FOR MULTIPARAMETER PROCESSES — A NEW SEMIGROUP TECHNIQUE IN POISSON APPROXIMATION — INFORMATION — A LOCAL ALGORITHM FOR CONSTRUCTING NON-NEGATIVE CUBIC SPLINES — THE TIME SPENT BY THE WIENER PROCESS IN A NARROW TUBE BEFORE LEAVING A WIDE TUBE — MAXIMUM LIKELIHOOD ESTIMATION FOR STATIONARY POINT PROCESSES — ON TIME-REVERSIBILITY AND THE UNIQUENESS OF MOVING AVERAGE REPRESENTATIONS FOR NON-GAUSSIAN STATIONARY TIME SERIES — LOCALLY ASYMPTOTICALLY RANK-BASED PROCEDURES FOR TESTING AUTOREGRESSIVE MOVING AVERAGE DEPENDENCE — ON SOME LIMIT LAWS FOR PERTURBED EMPIRICAL DISTRIBUTION FUNCTIONS — Part IV: Appendices A, ? and C

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لغة الإنجليزية ● شكل PDF ● صفحات 789 ● ISBN 9783110917833 ● حجم الملف 24.5 MB ● محرر Peter G. Hall & Marc Hallin ● الناشر De Gruyter ● مدينة Berlin/Boston ● نشرت 2011 ● الإصدار 1 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 6299573 ● حماية النسخ Adobe DRM
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