Time Series, Fuzzy Analysis and Miscellaneous Topics (eBook)

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