An edition of Mathematical Statistics Theory and Applications
(2020)
Mathematical Statistics
Theory and Applications
Reprint of First edition
by Yu. A. Prokhorov and V. V. Sazonov
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Last edited by Kaustubh Chakraborty
October 6, 2020 | History
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Publish Date
18 May 2020; 31 December 1987
Publisher
De Gruyter,
[VNU Science Press, 1987]
Language
English
Pages
872
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Subjects
Mathematical statistics, Statistical methods, Estimation theory, Bayesian inference, Resampling, Nonparametric statistics, Stochastic processes, Probabilities, Random variables, Numerical analysis, Abstract algebra, Multivariate analysis, Experimental design, Analysis of variance, Regression analysis, Asymptotic theory, Law of large numbers, Central limit theorem, Differential geometry, Sequential analysis, Asymptotic expansion, Generalized linear models, Epidemiology, Geology, Statistical genetics, Branching processes, Simulation, Statistical computing, Empirical processes, TopologyShowing 1 featured edition. View all 1 editions?
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Mathematical Statistics: Theory and Applications
18 May 2020; 31 December 1987, De Gruyter, [VNU Science Press, 1987]
Hardcover
in English
- Reprint of First edition
3112307925 9783112307922
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Book Details
Table of Contents
Mathematical Statistics Theory and Applications --
Frontmatter --
CONTENTS --
ABSTRACT INFERENCE (semi-parametric models...)(Session 1) --
INVITED PAPERS --
EFFICIENT TESTING IN A CLASS OF TRANSFORMATION MODELS: AN OUTLINE --
ABSTRACT INFERENCE IN IMAGE PROCESSING --
BAYES IAN INFERENCE IN SEMIPARAMETRIC PROBLEMS --
SEMI-PARAMETRIC BAYES ESTIMATORS --
ON ESTIMATING IN MODELS WITH INFINITELY MANY PARAMETERS --
INFERENCE FOR STOCHASTIC PROCESSES (Session 2) --
INVITED PAPERS --
SEMMARTINGALE CONVERGENCE THEORY AND CONDITIONAL INFERENCE FOR STOCHASTIC PROCESSES --
THE FOUNDATIONS OF FINITE SAMPLE ESTIMATION IN STOCHASTIC PROCESSES --
II --
CONTRIBUTED PAPERS --
SOME USES OF MAXIMUM-ENTROPY METHODS FOR ILL-POSED PROBLEMS IN SIGNAL AND CRISTALLOGRAPHY THEORIES --
On Asymptotic Efficiency of the Cox Estimator --
ASYMPTOTIC PROPERTIBS OP THE MAXIMUM LIKBLIHOOD ESTIMATOR, ITO-VENTZSL'S FORMULA FOR SEMIMARTINGALES AND ITS APPLICATION TO THE RECURSIVE ESTIMATION IN A GENERAL SCHEME OP STATISTICAL MODELS --
MAXIMUM ENTROPY SELECTION OF SOLUTIONS TO ILL-POSED MARTINGALE PROBLEMS --
ASYMPTOTIC INFERENCE FOR THE GALTON-WATSON PROCESS WITHOUT RESTRICTION TO THE SUPER-CRITICAL CASE --
CROSS-VALIDATION (Session 3) --
INVITED PAPERS --
ON RESAMPLING METHODS FOR CONFIDENCE LIMITS --
THE INTERPLAY BETWEEN CROSS-VALIDATION AND SMOOTHING METHODS --
BOOTSTRAP OF THE MEAN IN THE INFINITE VARIANCE CASE --
AUTOMATIC CURVE SMOOTHING --
NON-PARAMETRIC SMOOTHING OF THE BOOTSTRAP --
DATA ANALYSIS (projection pursuit, curve estimation . . .) (Session 4) --
INVITED PAPERS --
ON CONSTRUCTING A GENERAL THEORY OP AUTOMATIC CLASSIFICATION --
DATA ANALYSIS : GEOMETRIC AND ALGEBRAIC STRUCTURES --
CONTRIBUTED PAPERS --
GENERALIZED CANONICAL ANALYSIS --
DETECTING OUTLIERS AND CLUSTERS IN MULTIVARIATE DATA BASED ON PROJECTION PURSUIT --
THE INVERSE PROBLEM OP THE PRINCIPAL COMPONENT ANALYSIS --
DESIGN OF EXPERIMENTS (nearest neighbour designs . . .) (Session 5) --
INVITED PAPERS --
NUMERICAL METHODS OF OPTIMAL DESIGN CONSTRUCTION --
ORDERING EXPERIMENTAL DESIGNS --
OBSERVATION AND EXPERIMENTAL DESIGN FOR AUTOCORRELATED PROCESSES --
CONTRIBUTED PAPERS --
THE DESIGN OF EXPERIMENTS FOR MODEL SELECTION --
THE DESIGN AND ANALYSIS OF FIELD TRIALS IN THE PRESENCE OF FERTILITY EFFECTS --
ON THE EXISTENCE OF MULTIFACTOR DESIGNS WITH GIVEN MARGINAIS --
LOCAL ASYMPTOTIC NORMALITY IN GAUSSIAN MODEL OF VARIANCE COMPONENTS --
ASYMPTOTIC METHODS IN STATISTICS (second order asymptotics, saddle points methods e etc.)(Session 6) --
INVITED PAPERS --
DIFFERENTIAL GEOMETRICAL METHOD IN ASYMPTOTICS OF STATISTICAL INFERENCE --
LIKELIHOOD, ANCILLARITY AND STRINGS --
ON ASYMPTOTICALLY COMPLETE CLASSES OF TESTS --
TAIL PROBABILITY APPROXIMATIONS --
ON SECOND ORDER ADMISSIBILITY IN SIMULTANEOUS ESTIMATION --
Bounds for the asymptotic efficiency of estimators based on functional contractions; applications to the problem of estimation in the presence of random nuisance parameters --
CONTRIBUTED PAPERS --
ON CHI-SQUARED GOODNESS-OF-FIT TESTS FOR LOCATION-SCALE MODELS --
SOME PROBLEMS IN STATISTICS --
ADAPTIVE PROCEDURES FOR DETECTION OF CHANGE --
ON LOCAL AND NON-LOCAL MEASURES OF EFFICIENCY --
MAXIMAL DEVIATIONS OP GAUSSIAN PROCESSES AND EMPIRICAL DENSITY FUNCTIONS --
CHI-SQUARED TEST STATISTICS BASED ON SUBSAMPLES --
ON HODGES-LEHMANN INDICES OP NONPARAMETRIC TESTS --
DIFFERENTIAL GEOMETRY AND STATISTICAL INFERENCE --
LARGE SAMPLE PROPERTIES FOR GENERALIZATIONS OF THE TRIMMED MEAN --
MULTIVARIATE ANALYSIS (large number of parameters . . .) (Session 7) --
INVITED PAPERS --
DISCRIMINANT ANALYSIS FOR SPECIAL PARAMETER STRUCTURES --
ASYMPTOTICS OF INCREASING DIMENSIONALITY IN CLASSIFICATION --
EXTENSIONS AND ASYMPTOTIC STUDIES OF MULTIVARIATE ANALYSES --
ESTIMATION OF SYMMETRIC FUNCTIONS OF PARAMETERS AND ESTIMATION OF (»VARIANCE MATRIX --
CONTRIBUTED PAPERS --
INTRODUCTION IN GENERAL STATISTICAL ANALYSIS --
ESTIMATION AND TESTING OP HYPOTHESES IN MULTIVARIATE GENERAL GAUSS-MARKOFF MODEL --
SYMMETRY GROUPS AND INVARIANT STATISTICAL TESTS FOR FAMILIES OF MULTIVARIATE GAUSSIAN DISTRIBUTIONS --
PRESCRIBED CONDITIONAL INTERACTION MODELS FOR BINARY CONTINGENCY TABLES --
QUADRATIC INVARIANT ESTIMATORS WITH MAXIMALLY BOUNDED MEAN SQUARE ERROR --
TIME SERIES (long range dependence, non-linear processes, estimation of spectra) >(Session 8) --
INVITED PAPERS --
NON-GAUSSIAN SEQUENCES AND DECONVOLUTION --
NON-LINEAR TIME SERIES MODELS OF REGULARLY SAMPLED DATA: A REVIEW --
ROBUST SPECTRAL ESTIMATION --
CONTRIBUTED PAPERS --
ON MARGINAL DISTRIBUTIONS OF THRESHOLD MODELS --
ON THE BOUNDARY OF THE CENTRAL LIMIT THEOREM FOR STATIONARY p-MIXING SEQUENCES --
DETECTION OF PARAMETER CHANGES AT UNKNOWN TIMES IN LINEAR REGRESSION MODELS --
SOME ASPECTS OF DIRECTIONALITY IN TIME SERIES ANALYSIS --
THE ALGORITHM OF MAXIMUM MUTUAL INFORMATION FOR MODEL FITTING AND SPECTRUM ESTIMATION --
BOUNDARY CROSSING PROBLEMS AND SEQUENTIAL ANALYSIS (Session 11) --
INVITED PAPERS --
OPTIMAL SEQUENTIAL TESTS FOR RELATIVE ENTROPY COST FUNCTIONS --
ASYMPTOTIC EXPANSIONS IN SOME PROBLEMS OF SEQUENTIAL TESTING --
CONTRIBUTED PAPERS --
ASYMPTOTIC METHODS FOR BOUNDARY CROSSINGS OF VECTOR PROCESSES --
FIRST PASSAGE DENSITIES OF GAUSSIAN AND POINT PROCESSES TO GENERAL BOUNDARIES WITH SPECIAL REFERENCE TO KOLMOGOROV-SMIRNOV TESTS WHEN PARAMETERS ARE ESTIMATED --
CONVERSE RESULTS FOR EXISTENCE OF MOMENTS FOR STOPPED RANDOM WALKS --
MATHEMATICAL PROGRAMMING IN SEQUENTIAL TESTING THEORY --
EXTREME VALUES AND APPLICATIONS ( strength of materials) (Session 12) --
INVITED PAPERS --
THEORY OP EXTREMES AND ITS APPLICATIONS TO MECHANICS OP SOLIDS AND STRUCTURES --
EXTREMES, LOADS, AND STRENGTHS --
STATISTICAL MODELS FOR COMPOSITE MATERIALS --
CONTRIBUTED PAPERS --
THE DISTRIBUTION OF BUNDLE STRENGTH UNDER GENERAL ASSUMPTIONS --
AN ESTIMATE OP THE HATE OP CONVERGENCE IN THE LAW OP LARGE NUMBERS FOR SUMS OP ORDER STATISTICS AND THEIR APPLICATIONS --
THE INDEX OF THE OUTSTANDING OBSERVATION AMONG N INDEPENDENT ONES --
RAIN FLOW CYCLE DISTRIBUTIONS FOR FATIGUE LIFE PREDICTION UNDER GAUSSIAN LOAD PROCESSES --
HIGH-LEVEL EXCURSIONS OP GAUSSIAN FIELDS: A GEOMETRICAL APPROACH BASED ON CONVEXITY --
EPIDEMIOLOGY (mainly observational studies) (Session 13) --
INVITED PAPERS --
EPIDEMIC PREDICTION AND PUBLIC HEALTH CONTROL, WITH SPECIAL REFERENCE TO INFLUENZA AND AIDS --
MATHEMATICAL MODELS FOR CHRONIC DISEASE EPIDEMIOLOGY --
GLOBAL FORECAST AND CONTROL OF FAST-SPREADING EPIDEMIC PROCESS --
CONTRIBUTED PAPERS --
A STATISTICAL ANALYSIS OF THE SEASONALITY IN SUDDEN INFANT DEATH SYNDROME (SIDS) --
EPIDEMIOLOGICAL MODELS FOR SEXUALLY TRANSMITTED INFECTIONS --
RESULTS AM) PERSPECTIVES OP THE MATHEMATICAL FORECASTING OF INFLUENZA EPIDEMICS IN USSR --
THE GENERALIZED DISCRETE-TIME EPIDEMIC MODEL WITH IMMUNITY --
GEOLOGY AND GEOPHYSICS (Session 14) --
INVITED PAPERS --
STOCHASTIC KODEL OF MIESRAL CRYSTALLIZATION PROCESS FROM MAGMATIC MELT --
APPLICATIONS OP STOCHASTIC GEOMETRY IN GEOLOGY --
CLASSIFICATION AND PARTITIONING OF IGNEOUS ROCKS --
CONTRIBUTED PAPERS --
APPLICATION OP FUZZY SETS THEORY TO THE SOLUTION OP PATTERN RECOGNITION PROBLEMS IN OIL AND GAS GEOLOGY --
THE APPLICATION OP MULTIDIMENSIONAL RANDOM FUNCTIONS FOR STRUCTURAL MODELLING OF THE PLATFORM COVER --
PREDICTION OF ROCK TYPES IN OIL WELLS FROM LOG DATA --
ON TESTS FOR OUTLYING OBSERVATIONS --
THE IDEAS OP PERCOLATION THEORY IN GEOPHYSICS AND FAILURE THEORY --
HYDROLOGY AND METEOROLOGY (Session 15) --
INVITED PAPERS --
SOME STOCHASTIC MODELS OF RAINFALL WITH PARTICULAR REFERENCE TO HYDROLOGICAL APPLICATIONS --
CANONICAL CORRELATIONS FOR RANDOM PROCESSES AND THEIR METEOROLOGICAL APPLICATIONS --
STATISTICAL DECISIONS AND PROBLEMS OF THE OPTIMUM USE OF METEOROLOGICAL INFORMATION --
CONTRIBUTED PAPERS --
APPLICATION OF DATA ANALYSIS METHODS FOR THE EVALUATIONS OF EFFICIENCY OF WEATHER MODIFICATIONS EXPERIMENTS --
PREDICTOR-COUNTING CONFIDENCE INTERVALS FOR THE VALUE OF EFFECT IN RANDOMIZED RAINFALL ENHANCEMENT EXPERIMENTS --
ON BEHAVIOUR OF SEA SURFACE TEMPERATURE ANOMALIES --
THE SAMPLING VARIABILITY OF THE AUTOREGRESSIVE SPECTRAL ESTIMATES FOR TWO-VARIATE HYDROMETEOROLOGICAL PROCESSES --
ON THE FORECASTING OF THE FLUCTUATIONS IN LEVELS OF CLOSED LAKES --
BIOLOGICAL MODELS AND GENETICS (Session 16) --
INVITED PAPERS --
THE EQUILIBRIUM LAWS AMD DYNAMIC PROCESSES IN POPULATION GENETICS --
COMMUNITY SIZE AND AGE AT INFECTION: HOW ARE THEY RELATED? --
BRANCHING PROCESSES AND NEUTRAL MUTATIONS --
CONTRIBUTED PAPERS --
LIMIT THEOREM FOR SOME STATISTICS OP MULTITYPE GALTON-WATSON PROCESS --
THE REGULARITY OP METAPHASE CHROMOSOMES ORGANIZATION IN CEREALS --
THE GENEALOGY OP THE INFINITE ALLELES MODEL --
THE RELATIONSHIP BETWEEN THE STOCHASTIC AND DETERMINISTIC VERSION OF A MODEL FOR THE GROWTH OF A PLANT CELL POPULATION --
GENE ACTION FOR AGRONOMIC CHARACTERS IN WINTER WHEAT --
TOTAL PROGENY OF A CRITICAL BRANCHING PROCESS --
LIMIT THEOREMS POE A CRITICAL BRANCHING CRUMP-MODE-JAGERS PROCESSES --
THE BEHAVIOUR OF THE PRAY-EDITOR SYSTEM IN THE NEIGHBOURHOOD OF STATISTIC EQUILIBRIUM --
BELLMAN-HARRIS BRANCHING PROCESSES AND DISTRIBUTIONS OP MARKS IN PROLIFERATING CELL POPULATIONS --
STOCHASTIC SIMULATION (Session 18) --
INVITED PAPERS --
METHODS IN QUANTUM MONTE CARLO --
THE MONTE-CARLO METHOD AND ASYNCHRONIC CALCULATIONS --
INCREASING THE EFFICIENCY OF STATISTICAL SAMPLING WITH THE AID OF INFINITE-DIMENSIONAL UNIFORMLY DISTRIBUTED SEQUENCES --
CONTROLLED UNBIASED ESTIMATORS FOR CERTAIN FUNCTIONAL INTEGRALS --
KAC'S MODEL FOR A GAS OF N PARTICLES AND MONTE-CARLO SIMULATION IN RAREFIED GAS DYNAMICS --
STATISTICAL COMPUTING (Session 21) --
INVITED PAPERS --
MATHEMATICAL PROGRAMMING IN STATISTICS : an overview --
MODEL SEARCH IN LARGE MODEL FAMILIES --
PROGRAMMING LANGUAGES AND OPPORTUNITIS THEY OFFER TO THE STATISTICAL COMMUNITY --
CONTRIBUTED PAPERS --
STATISTICAL SOFTWARE FOR MICRO-COMPUTERS --
DATA CLASSIFICATION BY COMPARING OP COMPUTER IMPLEMENTATIONS OP STATISTICAL ALGORITHMS --
TIME DISCRETE APPROXIMATION OF ITO PROCESSES --
FAST ALGORITHM OF PEAK LOCATION IN SPECTRUM --
EMPIRICAL PROCESSES (Session 23) --
INVITED PAPERS --
APPROXIMATIONS OF WEIGHTED EMPIRICAL PROCESSES WITH APPLICATIONS TO EXTREME, TRIMMED AND SELF-NORMALIZED SUMS --
MINIMIZATION OF EXPECTED RISK BASED ON EMPIRICAL DATA --
CONTRIBUTED PAPERS --
RATES OP CONVERGENCE IN THE INVARIANCE PRINCIPLE FOR EMPIRICAL MEASURES --
ALMOST SURE BEHAVIOUR OF WEIGHTED EMPIRICAL PROCESSES IN THE TAILS --
CONVERGENCE OF THE EMPIRICAL CHARACTERISTIC FUNCTIONAL --
SAMPLE APPROXIMATION OF THE DISTRIBUTION BY MEANS OF k POINTS: A CONSISTENCY RESULT FOR SEPARABLE METRIC SPACES --
AUTHOR INDEX
Edition Notes
Includes index.
The Physical Object
ID Numbers
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| October 6, 2020 | Edited by Kaustubh Chakraborty | Added new book |
| October 6, 2020 | Created by Kaustubh Chakraborty | Added new book. |