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東工大
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図書
東工大
目次DB
1. 確率 : 精解演習
白尾恒吉著
出版情報: 東京 : 広川書店, 1966  232p ; 21cm
シリーズ名: 数学精解演習シリーズ
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第1章 標本空間と確率
   1.標本空間 1
   2.事象 2
   3.離散型標本空間と確率 5
   4.事象の独立性と条件付確率 6
   演習問題1 11
第2章 確率変数と確率分布
   5.標本空間と確率 34
   6.確率変数と確率分布 36
   7.多次元の確率変数と確率分布 42
   8.平均値,分散,モーメント 47
   演習問題2 54
第3章 特性函数
   9.特性函数 89
   10.たたみこみ 93
   11.独立な確率変数の存在 96
   12.エントロピイ 98
   演習問題3 102
第4章 確率変数の収束
   13.極限事象 140
   14.大数の法則 141
   15.中心極限定理 144
   16.確率変数の収束 148
   演習問題4 151
第5章 マルコフ連鎖
   17.マルコフ連鎖 181
   18.状態の分類 185
   19.極限定理(I) 188
   20.極限定理(II) 191
   演習問題5 194
索引 230
第1章 標本空間と確率
   1.標本空間 1
   2.事象 2
2.

図書
図書
2. 線型計画法 . ゲームの理論. [第2刷]
バルソフ著 ; 筒井孝胤訳 . ベンツェル著 ; 筒井孝胤訳
出版情報: 東京 : 東京図書, 1962.5  238p ; 19cm
シリーズ名: 数学新書 ; 23
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3.

図書
図書
3. Contributions to probability and statistics Essays in Honor of Harold Hotelling
edited by Ingram Olkin, Sudhish G. Chury, Wassily Hoeffding, William G. Madow, Henry B. Mann
出版情報: Stanford. : Stanford University Press., 1960  x, 517 p. ; 25 cm
シリーズ名: Stanford studies in mathematics and statistics ; 2
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4.

図書
図書
4. Selected tables in mathematical statistics (v. 1 - v. 11)
edited by the Institute of Mathematical Statistics
出版情報: Providence, R.I. : American Mathematical Society, c1970-  v. ; 26 cm
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Tables of the two factor and three factor generalized incomplete modified
Bessel distributions
Sample size requirement: Single and double classification experiments
Passage time distributions for Gaussian-Markov (Ornstein-Uhlenbeck) statistical processes
Exact probability levels for the Kruskal-Wallis test
Tables of confidence limits for linear functions of the normal mean and variance
Variances and covariances of the normal order statistics for sample sizes $2$ to $50$
Means, variances and covariances of the normal order statistics in the presence of an outlier
Tables for obtaining optimal confidence intervals involving the chi-square distribution
Expected sizes of a selected subset in paired comparison experiments
Tables of admissible and optimal balanced treatment incomplete block (BTIB) designs for comparing treatments with a control
Expected values and variances and covariances of order statistics for a family of symmetric distributions (student's $t$)
The distribution of positive definite quadratic forms
Confidence limits on the correlation coefficient
Tables of the cumulative non-central chi-square distribution
Tables of the exact sampling distribution of the two-sample
Kolmogorov-Smirnov criterion $D_{mn}$ $(m\le n)$
Critical values and probability levels for the Wilcoxon rank sum test and the Wilcoxon signed rank test
The null distribution of the first three product-moment statistics for exponential, half-gamma, and normal scores
Tables to facilitate the use of orthogonal polynomials for two types of error structures
Probability integral of the doubly noncentral $t$-distribution with degrees of freedom $n$ and non-centrality parameters $\delta$ and $\lambda$
Doubly noncentral $F$ distribution-Tables and applications
Tables of expected sample size for curtailed fixed sample size tests of a Bernoulli parameter
Zonal polynomials of order $1$ through $12$
Tables of the two factor and three factor generalized incomplete modified
Bessel distributions
Sample size requirement: Single and double classification experiments
5.

図書
図書
5. Lectures on probability theory and statistics : École d'été de probabilités de Saint-Flour XXVII--1997
J. Bertoin, F. Martinelli, Y. Peres ; editor, Pierre Bernard
出版情報: Berlin ; Tokyo : Springer, c1999  ix, 289 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1717
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Subordinators Examples and Applications / Jean Bertoin
Foreword / 0：
Elements on subordinators / 1：
Definitions and first properties / 1.1：
The Lévy-Khintchine formula / 1.2：
The renewal measure / 1.3：
The range of a subordinator / 1.4：
Regenerative property / 2：
Regenerative sets / 2.1：
Connection with Markov processes / 2.2：
Asymptotic behaviour of last passage times / 3：
Asymptotic behaviour in distribution / 3.1：
The self-similar case / 3.1.1：
The Dynkin-Lamperti theorem / 3.1.2：
Asymptotic sample path behaviour / 3.2：
Rates of growth of local time / 4：
Law of the iterated logarithm / 4.1：
Modulus of continuity / 4.2：
Geometric properties of regenerative sets / 5：
Fractal dimensions / 5.1：
Box-counting dimension / 5.1.1：
Hausdorff and packing dimensions / 5.1.2：
Intersections with a regenerative set / 5.2：
Equilibrium measure and capacity / 5.2.1：
Dimension criteria / 5.2.2：
Intersection of independant regenerative sets / 5.2.3：
Burgers equation with Brownian initial velocity / 6：
Burgers equation and the Hopf-Cole solution / 6.1：
Brownian initial velocity / 6.2：
Proof of the theorem / 6.3：
Random covering / 7：
Setting / 7.1：
The Laplace exponent of the uncovered set / 7.2：
Some properties of the uncovered set / 7.3：
Levy processes / 8：
Local time at a fixed point / 8.1：
Local time at the supremum / 8.2：
The spectrally negative case / 8.3：
Bochner's subordination for Lévy processes / 8.4：
Occupation times of a linear Brownian motion / 9：
Occupation times and subordinators / 9.1：
Levy measure and Laplace exponent / 9.2：
Lévy measure via excursion theory / 9.2.1：
Laplace exponent via the Sturm-Liouville equation / 9.2.2：
Spectral representation of the Laplace exponent / 9.2.3：
The zero set of a one-dimensional diffusion / 9.3：
Lectures on Glauber Dynamics for Discrete Spin Models / Fabio Martinelli
Introduction
Gibbs Measures of Lattice Spin Models
Notation
Gibbs Measures
Weak and String Mixing Conditions / 2.3：
Mixing properties and bounds on relative densities / 2.4：
The Glauber Dynamics
The Dynamics in Finite Volume
Infinite Volume Dynamics
Graphical Construction / 3.3：
Attractive Dynamics for Ferromagnetic Interactions / 3.4：
Spectral Gap and Logarithmic Sobolev Constant / 3.5：
From Single Spin Dynamics to Block Dynamics / 3.6：
General Results on the Spectral Gap / 3.7：
General Results on the Logarithmic Sobolev Constant / 3.8：
Possible Rates of Convergence to Equilibrium / 3.9：
One Phase Region
The Attractive Case
The General Case Recursive Analysis
Boundary Phase Transitions
The Solid-on-Solid Approximation
Back to the Ising-Model
Recent Progresses / 5.3：
Phase Coexistence
Some Preliminary Key Equilibrium Results
A Geometric Bound on the Spectral Gap
A Lower Bound on the Spectral Gap with + B.C
A Lower Bound on the Spectral Gap with Free B.C / 6.4：
Upper Bound on the Spectral Gap with Free B.C / 6.5：
Mixed B.C / 6.6：
Applications / 6.7：
Glauber Dynamics for the Dilute Ising Model
The Dynamics in the Paramagnetic Phase
The Dynamics in the Griffiths Phase p < pc|
The Dynamics in the Griffiths Phase p = pc
A Coarse Grained Description Above pc / 7.4：
Proof of the Main Results Above pc / 7.5：
Probability on Trees an Introductory Climb / Yuval Peres
Preface
Basic Definitions and a Few Highlights
Galton-Watson Trees
General percolation on a connected graph
The First-Moment Method
Quasi-independent Percolation
The Second Moment Method
Electrical Networks
Infinite Networks
The Method of Random Paths / 10：
Transience of Percolation Clusters / 11：
Subperiodic Trees / 12：
The Random Walks RWλ / 13：
Capacity / 14：
Intersection-Equivalence / 15：
Reconstruction for the Ising Model on a Tree / 16：
Unpredictable Paths in Z and EIT in Z3 / 17：
Tree-Indexed Processes / 18：
Recurrence for Tree-Indexed Markov Chains / 19：
Dynamical Percolation / 20：
Stochastic Domination Between Trees / 21：
Subordinators Examples and Applications / Jean Bertoin
Foreword / 0：
Elements on subordinators / 1：
6.

図書
図書
6. Theory of rank tests. 2nd ed
Jaroslav Hájek, Zbyněk Šidák, Pranab K. Sen
出版情報: San Diego ; London : Academic Press, c1999  xiv, 435 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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Introduction and Coverage
Preliminaries
Elementary Theory of Rank Tests
Selected Rank Tests
Computation of Null Exact Distributions
Limiting Null Distributions
Limiting Non-Null Distributions
Asymptotic Optimality and Efficiency
Rank Estimates and Asymptotic Linearity
Introduction and Coverage
Preliminaries
Elementary Theory of Rank Tests
7.

図書
図書
7. Selected topics in characteristic functions
Nikolai G. Ushakov
出版情報: Utrecht : VSP, 1999  ix, 355 p. ; 26 cm
シリーズ名: Modern probability and statistics
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8.

図書
図書
8. La programmation dynamique et ses aoolications
par R.E. Bellman, S.E. Dreyfus ; traduit par M. Barbier, R. Planche
出版情報: Paris : Dunod, 1965  xxii, 385 p. ; 25 cm
シリーズ名: Finance et économie appliquée ; v. 18
Bibliothèque de l'ingénieur automaticien ; v. 8
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9.

図書
図書
9. Statistique : exercices corrigés (t. 1 ; t. 2 ; t. 3)
par Christian Labrousse
出版情報: Paris : Dunod, 1965, c1964-  v. ; 24 cm
シリーズ名: Mathematique et statistique de l'économie
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10.

図書
図書
10. Lectures on probability theory and statistics : Ecole d'Eté de probabilités de Saint-Flour XXVI--1996
E. Giné, G.R. Grimmett, L. Saloff-Coste ; editor, P. Bernard
出版情報: Berlin : Springer, c1997  x, 424 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1665
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