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Field name	Details
Dewey Class	519.2
Title	Selected Works of A. N. Kolmogorov ([EBook]) : Volume II Probability Theory and Mathematical Statistics / edited by A. N. Shiryayev.
Added Personal Name	Shiryayev, Albert N.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1992.
Physical Details	XV, 597 pages : online resource.
Series	Mathematics and its applications. Soviet series 0169-6378 ; ; 26
ISBN	9789401122603
Contents note	1. On convergence of series whose terms are determined by random events -- 2. On the law of large numbers -- 3. On a limit formula of A. Khinchin -- 4. On sums of independent random variables -- 5. On the law of the iterated logarithm -- 6. On the law of large numbers -- 7. General measure theory and probability calculus -- 8. On the strong law of large numbers -- 9. On analytical methods in probability theory -- 10. The waiting problem -- 11. The method of the median in the theory of errors -- 12. A generalization of the Laplace-Lyapunov Theorem -- 13. On the general form of a homogeneous stochastic process -- 14. On computing the mean Brownian area -- 15. On the empirical determination of a distribution law -- 16. On the limit theorems of probability theory -- 17. On the theory of continuous random processes -- 18. On the problem of the suitability of forecasting formulas found by statistical methods -- 19. Random motions -- 20. Deviations from Hardy’s formulas under partial isolation -- 21. On the theory of Markov chains -- 22. On the statistical theory of metal crystallization -- 23. Markov chains with a countable number of possible states -- 24. On the reversibility of the statistical laws of nature -- 25. Solution of a biological problem -- 26. On a new confirmation of Mendel’s laws -- 27. Stationary sequences in Hubert space -- 28. Interpolation and extrapolation of stationary random sequences.. -- 29. On the logarithmic normal distribution of particle sizes under grinding -- 30. Justification of the method of least squares -- 31. A formula of Gauss in the method of least squares -- 32. Branching random processes -- 33. Computation of final probabilities for branching random processes. -- 34. Statistical theory of oscillations with continuous spectrum -- 35. On sums of a random number of random terms -- 36. A local limit theorem for classical Markov chains -- 37. Solution of a probabilistic problem relating to the mechanism of bed formation -- 38. Unbiased estimators -- 39. On differentiability of transition probabilities of time-homogeneous Markov processes with a countable number of states -- 40. A generalization of Poisson’ s formula for a sample from a finite set -- 41. Some recent work on limit theorems in probability theory -- 42. On A.V. Skorokhod’s convergence -- 43. Two uniform limit theorems for sums of independent terms -- 44. Random functions and limit theorems -- 45. On the properties of P. Levy’s concentration functions -- 46. Transition of branching processes to diffusion processes and related genetic problems -- 47. On the classes ?(n) of Fortet and Blanc-Lapierre -- 48. On conditions of strong mixing of a Gaussian stationary process -- 49. Random functions of several variables almost all realizations of which are periodic -- 50. An estimate of the parameters of a complex stationary Gaussian Markov process -- 51. On the approximation of distributions of sums of independent terms by infinitely divisible distributions -- 52. Estimators of spectral functions of random processes -- 53. On the logical foundations of probability theory -- Comments On the papers on probability theory and mathematical statistics -- Analytical methods in probability theory (No. 9) -- Markov processes with a countable number of states (No. 10) -- Homogeneous random processes (No. 13) -- Homogeneous Markov processes (No. 39) -- Branching processes (Nos. 25, 32, 33, 46) -- Stationary sequences (No. 27) -- Stationary processes (No. 48) -- Statistics of processes (No. 50) -- Spectral theory of stationary processes (No. 34) -- Spectral representation of random processes (Nos. 47, 49) -- Brownian motion (Nos. 14, 19, 24) -- Markov chains with a countable number of states (No. 23) -- Wald identities (No. 35) -- S-Convergence (No. 42) -- Uniform limit theorems (Nos. 43, 51) -- Concentration functions (No. 45) -- Empirical distributions (No. 15) -- The method of least squares (Nos. 30, 31) -- Unbiased estimators (No. 38) -- Statistical prediction (No. 18) -- On inter-bed washout (No. 37).
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-011-2260-3
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Statistics . Statistics, general . Authors: editor . Shiryayev, Albert N. . See Also: Širjaev, Alʹbert N., 1934- . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 519.2 .

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Selected Works of A. N. Kolmogorov: Volume II Probability Theory and Mathematical Statistics

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