Computing algorithms for solutions of problems in applied mathematics and their standard program realization. Part 2, Stochastic mathematics / K.J. Kachiashvili, D. Yu. Melikdzhanian and A.I. Prangishvili.

Online resource; title from PDF title page (EBSCO, viewed October 13, 2015).

Includes bibliographical references and index.

COMPUTING ALGORITHMS FOR SOLUTIONS OF PROBLEMS IN APPLIED MATHEMATICS AND THEIR STANDARD PROGRAM REALIZATION: PART 2: STOCHASTIC MATHEMATICS; COMPUTING ALGORITHMS FOR SOLUTIONS OF PROBLEMS IN APPLIED MATHEMATICS AND THEIR STANDARD PROGRAM REALIZATION: PART 2: STOCHASTIC MATHEMATICS; Library of Congress Cataloging-in-Publication Data; Contents; List of Figures; List of Tables; Chapter 1: Numerical Methods of Probability Theory and Mathematical Statistics; 1.1. Methods of Combinatorics; 1.2. Discrete Probability Distributions; 1.3. Major Continuous Probability Distributions

1.4. m-Dimensional Normal Distribution1.5. Irregular Distributions; 1.6. Basic Probability Distributions Used in Mathematical Statistics; 1.7. Additional Probability Distributions Used in Mathematical Statistics; 1.8. Samples; 1.9. Statistical Estimates of Main Characteristics of a Random Variable; 1.10. Statistical Estimates of Distribution Parameters; 1.11. Confidence and Tolerance Intervals; 1.12. Testing of Statistical Hypotheses; 1.13. NonparametricMethods of Statistics; 1.14. Identification of Regression Dependencies

1.15. Restoration of Some Special Types of Nonlinear Functional Dependencies1.16. Main Properties of Restored Dependencies; Chapter 2: Some Additional Problems; 2.1. Algebra of Integers; 2.2. Performance of Arithmetic Operations with Rational andComplex Numbers; 2.3. Search of Words and Phrases in a Dictionary; Appendix A Derivation of Formulae and Proofs of Theorems; A.1. Numerical Methods of Linear Algebra; A.2. Numerical Analysis of a Power Series and its Polynomials; A.3. Solution of Nonlinear Equations and the Determination of Extremums; A.4. Interpolation and Approximation of Functions

A.5. Numerical Differentiation and IntegrationA.6. Calculation of the Values of Some Functions; A.7. NumericalMethods for Solving Differential Equations; A.8. Numerical Methods Used in Geometry; A.9. NumericalMethods of Probability Theory and Mathematical Statistics; A.10. Some Additional Problems; Appendix B Program Realization of Formulas and Algorithms; B.1. Numerical Methods of Linear Algebra; B.2. Numerical Analysis of a Power Series and its Polynomials; B.3. Solution of Nonlinear Equations and Determination of Extremums; B.4. Interpolation and Approximation of Functions

B.5. Numerical Integration of FunctionsB.6. Calculation of the Values of Some Functions; B.7. Numerical Solution of Differential Equations; B.8. NumericalMethods Used in Geometry; B.9. Numerical Methods of Probability Theory and Mathematical Statistics; B.10. Some Additional Problems; Appendix C Used Designations; C.1. Objects of Mathematical Logic and General Algebra; C.2. Objects of Linear Algebra and Functional Analysis; C.3. Operations of Mathematical Analysis; C.4. Designations of Mathematical Functions and Constants; C.5. Geometrical Objects

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