Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Sveshnikov, A. A.

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Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

I. RANDOM EVENTS 1. Relations among random events 2. A direct method for evaluating probabilities 3. Geometric probabilities 4. Conditonal probability. The multiplication theorem for probabilities 5. The addition theorem for probabilities 6. The total probability formula 7. Computation of the probabilities of hypotheses after a trial (Bayes' formula) 8. Evaluation of probabilities of occurrence of an event in repeated independent trials 9. The multinomial distribution. Recursion formulas. Generating functions II. RANDOM VARIABLES 10. "The probability distribution series, the distribution polygon and the distribution function of a discrete random variable" 11. The distribution function and the probability density function of a continuous random variable 12. Numerical characteristics of discrete random variables 13. Numerical characteristics of continuous random variables 14. Poisson's law 15. The normal distribution law 16. Characteristic functions 17. The computation of the total probability and the probability density in terms of conditional probability III. SYSTEMS OF RANDOM VARIABLES 18. Distribution laws and numerical characteristics of systems of random variables 19. The normal distribution law in the plane and in space. The multidimensional normal distribution 20. Distribution laws of subsystems of continuous random variables and conditional distribution laws IV. NUMERICAL CHARACTERISTICS AND DISTRIBUTION LAWS OF FUNCTIONS OF RANDOM VARIABLES 21. Numerical characteristics of functions of random variables 22. The distribution laws of functions of random variables 23. The characteristic functions of systems and functions of random variables 24. Convolution of distribution laws 25. The linearization of functions of random variables 26. The convolution of two-dimensional and three-dimensional normal distribution laws by use of the notion of deviation vectors V. ENTROPY AND INFORMATION 27. The entropy of random events and variables 28. The quantity of information VI. THE LIMIT THEOREMS 29. The law of large numbers 30. The de Moivre-Laplace and Lyapunov theorems VII. THE CORRELATION THEORY OF RANDOM FUNCTIONS 31. General properties of correlation functions and distribution laws of random functions 32. Linear operations with random functions 33. Problems on passages 34. Spectral decomposition of stationary random functions 35. Computation of probability characteristics of random functions at the output of dynamical systems 36. Optimal dynamical systems 37. The method of envelopes VIII. MARKOV PROCESSES 38. Markov chains 39. The Markov processes with a discrete number of states 40. Continuous Markov processes IX. METHODS OF DATA PROCESSNG 41. Determination of the moments of random variables from experimental data 42. Confidence levels and confidence intervals 43. Tests of goodness-of-fit 44. Data processing by the method of least squares 45. Statistical methods of quality control 46. Determination of probability characteristics of random functions from experimental data ANSWERS AND SOLUTIONS SOURCES OF TABLES REFERRED TO IN THE TEXT BIBLIOGRAPHY INDEX

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions Format: Trade Paper

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ISBN 10: 0486637174 ISBN 13: 9780486637174
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Editore: Dover Publications Inc. (1979)
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Descrizione libro Dover Publications Inc., 1979. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486637174

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Editore: Dover Publications (1979)
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Descrizione libro Dover Publications, 1979. Paperback. Condizione libro: New. Codice libro della libreria 0486637174

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Editore: Dover Publications Inc., United States (1979)
ISBN 10: 0486637174 ISBN 13: 9780486637174
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Descrizione libro Dover Publications Inc., United States, 1979. Paperback. Condizione libro: New. 229 x 152 mm. Language: English . Brand New Book. Approximately 1,000 problems (with answers and solutions at the back) illustrate such topics as random events, random variables, limit theorems, Markov processes, etc. Codice libro della libreria AAC9780486637174

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5.Problems in Probability Theory, Mathematical Statistics and the Theory of Random Functions (Paperback)

Editore: Dover Publications Inc., United States (1979)
ISBN 10: 0486637174 ISBN 13: 9780486637174
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Descrizione libro Dover Publications Inc., United States, 1979. Paperback. Condizione libro: New. 229 x 152 mm. Language: English . Brand New Book. Approximately 1,000 problems (with answers and solutions at the back) illustrate such topics as random events, random variables, limit theorems, Markov processes, etc. Codice libro della libreria AAC9780486637174

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486637174 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 12832372

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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 512 pages. Dimensions: 9.0in. x 6.0in. x 1.1in.Approximately 1, 000 problems with answers and solutions included at the back of the book illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486637174

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8.Problems in Probability Theory, Mathematical Statistics and Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions The (Paperback)

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Descrizione libro Paperback. Condizione libro: New. 156mm x 24mm x 233mm. Paperback. Approximately 1,000 problems (with answers and solutions at the back) illustrate such topics as random events, random variables, limit theorems, Markov processes, etc. Approximately 1,000 .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 512 pages. 0.630. Codice libro della libreria 9780486637174

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9.Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

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ISBN 10: 0486637174 ISBN 13: 9780486637174
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Descrizione libro Dover Publications, 1979. Paperback. Condizione libro: New. book. Codice libro della libreria 0486637174

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Editore: Dover Publications Inc. (1979)
ISBN 10: 0486637174 ISBN 13: 9780486637174
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Descrizione libro Dover Publications Inc., 1979. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486637174

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