Probability Theory and Applications
eBook - PDF

Probability Theory and Applications

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  1. 817 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Probability Theory and Applications

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Book details
Table of contents
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Information

Publisher
De Gruyter
Year
2020
ISBN
9783112314227
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Contents
  2. Preface
  3. Greeting
  4. Opening Talk
  5. Algorithms And Randomness
  6. Self Similar Processes In Probability Theory And Statistics (Session 9 - Chairman: Ya.G. Sinay)
  7. INVITED PAPERS
  8. Limit theorems in statistical physics; on Dyson's hierarchical model
  9. Statistical aspects of self-similar processes
  10. Toeplitz matrices and estimation of time series with long-range dependence
  11. Contributed Papers
  12. Universal behavior and stochasticity for one dimensional systems
  13. A birth and death process in random environment
  14. Spectral properties of some finite-difference and differential operators with random coefficients
  15. Point Processes In Probability Theory And Statistics (Session 10 - Chairman: D. Stoyan)
  16. Invited Papers
  17. Parametric and non-parametric estimation for pairwise-interaction point processes
  18. On the theory of conditioning in point processes
  19. Contributed Papers
  20. On The Exponentiality Of Total Hazards Before Failure
  21. Sufficient regularity conditions for jump processes
  22. Statistics with diffusion crossing times
  23. Ruin probabilities in the "non-renewal" case
  24. A note on the asymptotic behaviour of the empirical score in Cox's regression model for counting processes
  25. Comparison of Cox's and maximum likelihood estimates for matched experiments in survival data with censoring
  26. On the conditions providing for the moments of number of zeros of a vector Gaussian field to be finite
  27. The inverses of thinned point processes
  28. Foundations Of Probability Theory (Session 17 - Chairman: D. Lane)
  29. Invited Papers
  30. An epistemic justification of the law of total probability
  31. Contributed Papers
  32. Individual Random Continuous Functions
  33. Some Estimates For Nonstochastic Sequences
  34. Nonstandard Analysis In Probability Theory (Session 19 - Chairman: E. Perkins)
  35. Invited Papers
  36. Nonstandard Constructions Of Diffusions And Related Processes
  37. Nonstandard analysis in probability theory
  38. Contributed Papers
  39. Adapted distribution
  40. Hyperfinite methods for multidimensional stochastic processes
  41. Combinatorial Methods In Probability Theory (Session 20 - Chairman: B.S. Stechkin)
  42. Invited Papers
  43. Random mappings and branching processes
  44. On probability methods in combinatorial analysis
  45. Contributed Papers
  46. Neighbourhood Spaces And Maps
  47. Percolation theory. Coincidence of the critical values P<sub>H</sub> = P<sub>T</sub>
  48. Evolution on random mappings
  49. On the distribution of the number of vertices in strata of a random forest
  50. Queing Theory (Network, Computer-User Models, Stability ...) (Session 22 - Chairman: R. Schassberger)
  51. Invited Papers
  52. Stationary queueing systems. Existence and stability
  53. Ergodicity and asymptotic behaviour of multi-type branching processes arising in random-access communication systems
  54. Insensitive service schemes and partial balance
  55. Contributed Papers
  56. Queueing networks and operator-selfdecomposability
  57. Insensitivity in queueing networks with generalized processor-sharing discipline
  58. Markov Processes (Session 24 - Chairman: Y. Le Jan)
  59. Invited Papers
  60. Intrinsic properties of Markov processes
  61. Reversible diffusion processes on manifolds
  62. The entropy production and reversibility of Markov processes
  63. Contributed Papers
  64. The theory of shuffling - an application of non-homogeneous Markov chains
  65. Asymptotic periodicity of the iterates of Markov operators
  66. Homogeneous transition functions and dual semigroups
  67. On the arcsine law in the adaptive control of Markov chains
  68. Random Fields And Percolation Theory (Session 25 - Chairman: Y. Higuchi)
  69. Invited Papers
  70. Random sets and Markov fields
  71. Central limit results for random fields
  72. Recent progress in percolation
  73. Contributed Papers
  74. Uniqueness of Gibbs measures and absorption probabilities
  75. A decomposition theorem for binary Markov random fields
  76. Percolation problem for the two-dimensional Ising model
  77. Probabilistic models of the growth of epithelial tumors
  78. On the homogenization error for boundary problems with highly oscillating random coefficients
  79. Time Evolution Of Particle Systems (Session 26 - Chairman: T. Liggett)
  80. Invited Papers
  81. Switching networks, Markov interaction processes, Gibbsian fields - interconnection
  82. Collective behaviour of interacting particle systems
  83. Contributed Papers
  84. The supremum of a random walk in a Markovian environment
  85. Dynamics of infinite particle systems and Gibbs point random fields
  86. The Euler equations for the one-dimensional zero range process
  87. Probability And Theoretical Physics (Session 27 - Chairman: K.R. Parthasarathy)
  88. Invited Papers
  89. Recent developments in quantum probability
  90. Markov operators on quantum probability spaces
  91. Some recent interactions between mathematics and physics in connection with generalized random fields
  92. Contributed Papers
  93. Non-commutative point processes and quantum kinetic equations
  94. Quantum diffusions and cohomology of algebras
  95. Quantum stochastic calculus with integral kernels I
  96. Quantum stochastic calculus with integral kernels II: the Wigner-Weisskopf atom
  97. Stop Times in Fock Space Stochastic Calculus
  98. Diffusion On Manifolds (Session 28 - Chairman: K.D. Elworthy)
  99. Invited Papers
  100. Some Geometric Aspects Of Diffusions On Manifolds
  101. Stochastic Differential Geometry
  102. Contributed Papers
  103. Stochastic equations on Banach manifolds and bundles
  104. Brownian motion in a small ball
  105. Stochastic Calculus (Including Malliavin Calculus) (Session 29 - Chairman: J. Bismut)
  106. Invited Papers
  107. Stochastic quantization: A new domain for stochastic analysis
  108. Some intersection properties of Brownian paths and random walks
  109. Malliavin calculus and its application to some limit theorems
  110. Contributed Papers
  111. Probabilistic method of approach to certain problems of Fourier analysis
  112. On sufficient conditions for the convergence of solutions of stochastic equations
  113. Martingales with mixed norm: general theory and applications
  114. Convergence in probability for solutions of stochastic differential equations
  115. Some remarks on approximation of predictable characteristics of processes with filtrations
  116. Stochastic Geometry (Session 30 - Chairman: J. Mecke)
  117. Invited Papers
  118. Stochastic approximations of convex bodies by polyhedrons
  119. Symmetric statistics and random shape
  120. Point processes of compact sets
  121. Contributed Papers
  122. A brief account of the structure and explicit determination of convex-polygonally generated shape-densities
  123. On homogeneous processes of lines in the plane
  124. Intersections of random curves and surfaces
  125. Random curvature currents and generalized Regge calculus
  126. Large Deviations (Session 31 - Chairman: A.A. Borovkov)
  127. Invited Papers
  128. Theorems of large deviations for multinomial forms and multiple stochastic integrals
  129. Global exact asymptotics of large deviations probabilities for diffusion and jump processes
  130. Contributed Papers
  131. Large deviations and long-time behavior of stochastic particle systems
  132. Random perturbations of infinite dimensional dynamical systems
  133. Large deviations estimates for systems with small (wideband) noise effects and applications to stochastic systems and conmunication theory
  134. On the Donsker-Varadhan theory and its applications
  135. Rates Of Convergence (Session 32 - Chairman: F. Götze)
  136. Invited Papers
  137. Approximations in functional limit theorems
  138. Asymptotic expansions refining the central limit theorem in Hilbert space
  139. Contributed Papers
  140. Estimates of the rate of convergence in the local limit theorem for countable Markov chains
  141. On asymptotic expansion for the distribution of the sum of independent identically distributed random variables taking values in Hilbert space
  142. On the uniform approximation of distribution functions of sums of independent non-identically distributed random variables
  143. Functional Limit Theorems: An Invariance Principle (Session 33 - Chairman: Yu.V. Prohorov)
  144. Invited Papers
  145. On accuracy of approximation in invariance principle
  146. Contributed Papers
  147. On strong convergence of distributions of random process functionals
  148. Almost sure invariance principles for generalization of martingales
  149. On the rate of convergence in ordinary and functional central limit theorems for martingales
  150. Probabilities On Algebraic Structures (Session 34 - Chairman: V.M. Maksimov)
  151. Invited Papers
  152. Generalized convolutions and probability theory based on the q-Heisenberg algebra
  153. Asymptotic behaviour of products of random matrices
  154. Lie algebraic methods in filtering and identification
  155. Contributed Papers
  156. Limit theorem for products of dependence
  157. Random series and seminorms
  158. Miscellaneous (Session 35)
  159. Contributed Papers
  160. On the maximum principle for stochastic control problems
  161. Stochastic scheduling via stochastic control
  162. A de Finetti theorem for a class of pairwise independent stationary processes
  163. Computer application in the teaching process at the institute of economics
  164. Probabilistic derivation of inversion formulas