Introduction to Probability :`Theory and its Applications Vol - l (Record no. 4187)

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003 - CONTROL NUMBER IDENTIFIER
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005 - DATE AND TIME OF LATEST TRANSACTION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140801s1957 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788126518050
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2 FEL-I;Vol-I
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Feller, William
245 ## - TITLE STATEMENT
Title Introduction to Probability :`Theory and its Applications Vol - l
250 ## - EDITION STATEMENT
Edition statement 3rd
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Wiley India
Date of publication, distribution, etc 1957
Place of publication, distribution, etc New Delhi
300 ## - PHYSICAL DESCRIPTION
Extent 509p.
500 ## - GENERAL NOTE
General note Contents<br/>The Exponential and the Uniform Densities<br/>1<br/>Densities Convolutions<br/>3<br/>The Exponential Density<br/>8<br/>Waiting Time Paradoxes The Poisson Process<br/>11<br/>The Persistence of Bad Luck<br/>15<br/>Waiting Times and Order Statistics<br/>17<br/>The Uniform Distribution<br/>21<br/>Random Splittings<br/>25<br/>Terminating Transient Processes<br/>374<br/>Diverse Applications<br/>377<br/>Existence of Limits in Stochastic Processes<br/>379<br/>9 Renewal Theory on the Whole Line<br/>380<br/>Problems for Solution<br/>385<br/>Random Walks in 311<br/>389<br/>Basic Concepts and Notations<br/>390<br/>Duality Types of Random Walks<br/>394<br/><br/>Convolutions and Covering Theorems<br/>26<br/>Random Directions<br/>29<br/>The Use of Lebesgue Measure<br/>33<br/>Empirical Distributions<br/>36<br/>Problems for Solution<br/>39<br/>Special Densities Randomization<br/>45<br/>Gamma Distributions<br/>47<br/>3 Related Distributions of Statistics<br/>48<br/>Some Common Densities<br/>49<br/>Randomization and Mixtures<br/>53<br/>Discrete Distributions<br/>55<br/>CHAPTER<br/>66<br/>chapter<br/>103<br/>CHAPTER<br/>127<br/>Symmetrization<br/>148<br/>Integration by Parts Existence of Moments<br/>150<br/>Chebyshevs Inequality<br/>151<br/>Further Inequalities Convex Functions<br/>152<br/>Simple Conditional Distributions Mixtures<br/>156<br/>Starred sections are not required for the understanding of the sequel and should be omitted at first readme<br/>160<br/>11 Conditional Expectations<br/>162<br/>Problems for Solution<br/>165<br/>A Survey of some Important Distributions and Processes<br/>169<br/>Examples<br/>173<br/>Infinitely Divisible Distributions in Rl<br/>176<br/>Processes with Independent Increments<br/>179<br/>5 Ruin Problems in Compound Poisson Processes<br/>182<br/>Renewal Processes<br/>184<br/>Examples and Problems<br/>187<br/>Random Walks<br/>190<br/>The Queuing Process<br/>194<br/>Persistent and Transient Random Walks<br/>200<br/>General Markov Chains<br/>205<br/>12 Martingales<br/>209<br/>Problems for Solution<br/>215<br/>Laws of Large Numbers Applications in Analysis<br/>219<br/>Bernstein Polynomials Absolutely Monotone Functions<br/>222<br/>Moment Problems<br/>224<br/>4 Application to Exchangeable Variables<br/>228<br/>5 Generalized Taylor Formula and SemiGroups<br/>230<br/>Inversion Formulas for Laplace Transforms<br/>232<br/>7 Laws of Large Numbers for Identically Distributed Variables<br/>234<br/>8 Strong Laws<br/>237<br/>9 Generalization to Martingales<br/>241<br/>Problems for Solution<br/>244<br/>The Basic Limit Theorems<br/>247<br/>Special Properties<br/>252<br/>Distributions as Operators<br/>254<br/>The Central Limit Theorem<br/>258<br/>5 Infinite Convolutions<br/>265<br/>Selection Theorems<br/>267<br/>7 Ergodic Theorems for Markov Chains<br/>270<br/>Regular Variation<br/>275<br/>9 Asymptotic Properties of Regularly Varying Functions<br/>279<br/>Problems for Solution<br/>284<br/>chapter K Infinitely Divisible Distributions and SemiGroups<br/>290<br/>Convolution SemiGroups<br/>293<br/>Preparatory Lemmas<br/>296<br/>Finite Variances<br/>298<br/>The Main Theorems<br/>300<br/>Stable SemiGroups<br/>305<br/>Triangular Arrays with Identical Distributions<br/>308<br/>Domains of Attraction<br/>312<br/>Variable Distributions The ThreeSeries Theorem<br/>316<br/>Problems for Solution<br/>318<br/>Markov Processes and SemiGroups<br/>321<br/>The PseudoPoisson Type<br/>322<br/>Linear Increments<br/>324<br/>Jump Processes<br/>326<br/>Diffusion Processes in 311<br/>332<br/>The Forward Equation Boundary Conditions<br/>337<br/>Diffusion in Higher Dimensions<br/>344<br/>Subordinated Processes<br/>345<br/>Markov Processes and SemiGroups<br/>349<br/>The Exponential Formula of SemiGroup Theory<br/>353<br/>Generators The Backward Equation<br/>356<br/>Renewal Theory<br/>358<br/>Proof of the Renewal Theorem<br/>364<br/>3 Refinements<br/>366<br/>Persistent Renewal Processes<br/>368<br/>The Number Nt of Renewal Epochs<br/>372<br/>Distribution of Ladder Heights WienerHopf Factor ization<br/>398<br/>3a The WienerHopf Integral Equation<br/>402<br/>Examples<br/>404<br/>Applications<br/>408<br/>A Combinatorial Lemma<br/>412<br/>Distribution of Ladder Epochs<br/>413<br/>The Arc Sine Laws<br/>417<br/>Miscellaneous Complements<br/>423<br/>Problems for Solution<br/>425<br/>Laplace Transforms Tauberian Theorems Resolvents<br/>429<br/>Elementary Properties<br/>434<br/>Examples<br/>436<br/>Completely Monotone Functions Inversion Formulas<br/>439<br/>Tauberian Theorems<br/>442<br/>6 Stable Distributions<br/>448<br/>7 Infinitely Divisible Distributions<br/>449<br/>8 Higher Dimensions<br/>452<br/>Laplace Transforms for SemiGroups<br/>454<br/>The HilleYosida Theorem<br/>459<br/>Problems for Solution<br/>463<br/>Applications of Laplace Transforms<br/>466<br/>Examples<br/>468<br/>Limit Theorems Involving Arc Sine Distributions<br/>470<br/>Busy Periods and Related Branching Processes<br/>473<br/>Diffusion Processes<br/>475<br/>BirthandDeath Processes and Random Walks<br/>479<br/>The Kolmogorov Differential Equations<br/>483<br/>The Pure Birth Process<br/>488<br/>Calculation of Ergodic Limits and of FirstPassage Times<br/>491<br/>Problems for Solution<br/>495<br/>Characteristic Functions<br/>498<br/>Special Distributions Mixtures<br/>502<br/>2a Some Unexpected Phenomena<br/>505<br/>Uniqueness Inversion Formulas<br/>507<br/>Regularity Properties<br/>511<br/>The Central Limit Theorem for Equal Components<br/>515<br/>The Lindeberg Conditions<br/>518<br/>Characteristic Functions in Higher Dimensions<br/>521<br/>8 Two Characterizations of the Normal Distribution<br/>525<br/>Problems for Solution<br/>526<br/>CHAPTER XVI Expansions Related to the Central Limit Theorem<br/>531<br/>Notations<br/>532<br/>Expansions for Densities<br/>533<br/>Smoothing<br/>536<br/>Expansions for Distributions<br/>538<br/>The BerryEsseen Theorems<br/>543<br/>Expansions in the Case of Varying Components<br/>546<br/>Large Deviations<br/>549<br/>Infinitely Divisible Distributions<br/>554<br/>Canonical Forms The Main Limit Theorem<br/>558<br/>2a Derivatives of Characteristic Functions<br/>565<br/>Examples and Special Properties<br/>566<br/>Special Properties<br/>570<br/>Stable Distributions and Their Domains of Attraction<br/>574<br/>6 Stable Densities<br/>581<br/>Triangular Arrays<br/>583<br/>8 The Class L<br/>588<br/>9 Partial Attraction Universal Laws<br/>590<br/>10 Infinite Convolutions<br/>592<br/>Higher Dimensions<br/>593<br/>Problems for Solution<br/>595<br/>Applications of Fourier Methods to Random Walks<br/>598<br/>2 Finite Intervals Walds Approximation<br/>601<br/>The WienerHopf Factorization<br/>604<br/>Implications and Applications<br/>609<br/>Two Deeper Theorems<br/>612<br/>Criteria for Persistency<br/>614<br/>Problems for Solution<br/>616<br/>Harmonic Analysis<br/>619<br/>Positive Definite Functions<br/>620<br/>Stationary Processes<br/>623<br/>Fourier Series<br/>626<br/>5 The Poisson Summation Formula<br/>629<br/>Positive Definite Sequences<br/>633<br/>L2 Theory<br/>635<br/>Stochastic Processes and Integrals<br/>641<br/>Problems for Solution<br/>647<br/>Answers to Problems<br/>651<br/>Some Books on Cognate Subjects<br/>655<br/>Index<br/>657<br/>Copyright<br/>
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    Dewey Decimal Classification     Amity Central Library Amity Central Library Applied Math 03/01/2014 539.00 4 519.2 FEL-I;Vol-I 19795 12/12/2017 11/12/2017 https://epgp.inflibnet.ac.in/Home/Download 03/01/2014 Books  
    Dewey Decimal Classification     Amity Central Library Amity Central Library Applied Math 03/01/2014 539.00 4 519.2 FEL-I;Vol-I 19796 23/10/2017 10/10/2017 https://epgp.inflibnet.ac.in/Home/Download 03/01/2014 Books  
    Dewey Decimal Classification   Not For Loan Amity Central Library Amity Central Library Applied Math 03/01/2014 539.00   519.2 FEL-I;Vol-I 19797 23/08/2014   https://epgp.inflibnet.ac.in/Home/Download 03/01/2014 Reference Book Reference
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