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Selected Works of A. N. Kolmogorov

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Cover of 'Selected Works of A. N. Kolmogorov'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 On Convergence of Series Whose Terms are Determined by Random Events
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    Chapter 2 On The Law of Large Numbers
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    Chapter 3 On A Limit Formula of A. Khinchin
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    Chapter 4 On Sums of Independent Random Variables
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    Chapter 5 On The Law of The Iterated Logarithm
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    Chapter 6 On The Law of Large Numbers
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    Chapter 7 7. General Measure Theory and Probability Calculus
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    Chapter 8 On The Strong Law of Large Numbers
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    Chapter 9 On Analytical Methods In Probability Theory
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    Chapter 10 The Waiting Problem
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    Chapter 11 The Method of The Median in The Theory of Errors
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    Chapter 12 A Generalization of The Laplace-Lyapunov Theorem
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    Chapter 13 On The General Form of A Homogeneous Stochastic Process
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    Chapter 14 On Computing The Mean Brownian Area
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    Chapter 15 15. On The Empirical Determination of A Distribution Law
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    Chapter 16 On The Limit Theorems of Probability Theory
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    Chapter 17 On The Theory of Continuous Random Processes
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    Chapter 18 On The Problem of The Suitability of Forecasting Formulas Found by Statistical Methods
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    Chapter 19 Random Motions
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    Chapter 20 Deviations From Hardy’s Formulas Under Partial Isolation
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    Chapter 21 On The Theory of Markov Chains
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    Chapter 22 On The Statistical Theory of Metal Crystallization
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    Chapter 23 Markov Chains with A Countable Number of Possible States
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    Chapter 24 On The Reversibility of The Statistical Laws of Nature
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    Chapter 25 Solution of A Biological Problem
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    Chapter 26 On A New Confirmation of Mendel’s Laws
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    Chapter 27 Stationary Sequences in Hubert Space
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    Chapter 28 Interpolation and Extrapolation of Stationary Random Sequences
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    Chapter 29 On The Logarithmic Normal Distribution of Particle Sizes Under Grinding
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    Chapter 30 Justification of The Method of Least Squares
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    Chapter 31 A Formula of Gauss in The Method Of Least Squares
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    Chapter 32 Branching Random Processes
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    Chapter 33 Computation of Final Probabilities for Branching Random Processes
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    Chapter 34 Statistical Theory of Oscillations with Continuous Spectrum
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    Chapter 35 On Sums of A Random Number of Random Terms
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    Chapter 36 A Local Limit Theorem for Classical Markov Chains
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    Chapter 37 Solution of A Probabilistic Problem Relating To The Mechanism of Bed Formation
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    Chapter 38 Unbiased Estimators
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    Chapter 39 On Differentiability of Transition Probabilities of Time-Homogeneous Markov Processes with A Countable Number of States
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    Chapter 40 A Generalization of Poisson’s Formula for A Sample From A Finite Set
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    Chapter 41 Some Recent Work on Limit Theorems in Probability Theory
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    Chapter 42 On A.V. Skorokhod’s Convergence
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    Chapter 43 Two Uniform Limit Theorems for Sums of Independent Terms
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    Chapter 44 Random Functions and Limit Theorems
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    Chapter 45 On The Properties of P. Levy’s Concentration Functions
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    Chapter 46 Transition of Branching Processes to Diffusion Processes and Related Genetic Problems
  48. Altmetric Badge
    Chapter 47 On The Classes φ( n ) of Fortet and Blanc-Lapierre
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    Chapter 48 On Conditions of Strong Mixing of A Gaussian Stationary Process
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    Chapter 49 Random Functions of Several Variables Almost All Realizations of Which are Periodic
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    Chapter 50 An Estimate of The Parameters of A Complex Stationary Gaussian Markov Process
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    Chapter 51 On The Approximation of Distributions of Sums of Independent Terms by Infinitely Divisible Distributions
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    Chapter 52 Estimators of Spectral Functions of Random Processes
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    Chapter 53 On The Logical Foundations of Probability Theory
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    Chapter 54 Comments
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    Chapter 55 Analytical Methods in Probability Theory (No. 9)
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    Chapter 56 Markov Processes with A Countable Number of States (No. 10)
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    Chapter 57 Homogeneous Random Processes (No. 13)
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    Chapter 58 Homogeneous Markov Processes (No. 39)
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    Chapter 59 Branching Processes (Nos. 25, 32, 33, 46)
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    Chapter 60 Stationary Sequences (No. 27)
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    Chapter 61 Stationary Processes (No. 48)
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    Chapter 62 Statistics of Processes (No. 50)
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    Chapter 63 Spectral Theory of Stationary Processes (No. 34)
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    Chapter 64 Spectral Representation of Random Processes (Nos. 47, 49)
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    Chapter 65 Brownian Motion (Nos. 14, 19, 24)
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    Chapter 66 Markov Chains with A Countable Number of States (No. 23)
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    Chapter 67 Wald Identities (No. 35)
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    Chapter 68 S -Convergence (No. 42)
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    Chapter 69 Uniform Limit Theorems (Nos. 43, 51)
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    Chapter 70 Concentration Functions (No. 45)
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    Chapter 71 Empirical Distributions (No. 15)
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    Chapter 72 The Method of Least Squares (Nos. 30, 31)
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    Chapter 73 Unbiased Estimators (No. 38)
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    Chapter 74 Statistical Prediction (No. 18)
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    Chapter 75 On Inter-Bed Washout (No. 37)
Attention for Chapter 26: On A New Confirmation of Mendel’s Laws
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Chapter title
On A New Confirmation of Mendel’s Laws
Chapter number 26
Book title
Selected Works of A. N. Kolmogorov
Published by
Springer, Dordrecht, January 1992
DOI 10.1007/978-94-011-2260-3_26
Book ISBNs
978-9-40-105003-6, 978-9-40-112260-3
Authors

A. N. Shiryayev, Shiryayev, A. N.

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