| 1.
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図書
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D.G. Kendall ... [et al.]
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| 2.
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図書
|
佐藤肇, 一樂重雄著
| 出版情報: |
東京 : 日本評論社, 1999.8 iv, 137p ; 21cm |
| 子書誌情報: |
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| 所蔵情報: |
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| 3.
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図書
|
Rainer Kress
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| 4.
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図書
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Abraham Boyarsky, Pawel Góra
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| 5.
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図書
|
David Aldous, James Propp, editors
目次情報:
続きを見る
| Tree-valued Markov chains and Poisson-Galton-Watson distributions / D. Aldous |
| On the central role of scale invariant Poisson processes on $(0, \infty)$ / R. Arratia |
| Beyond the method of bounded differences / A. P. Godbole ; P. Hitczenko |
| Dynamical percolation: Early results and open problems / O. Haggstrom |
| Distinguishing and reconstructing sceneries from observations along random walk paths / H. Kesten |
| Mixing times / L. Lovasz ; P. Winkler |
| A bird's-eye view of uniform spanning trees and forests / R. Lyons |
| Enumerations of trees and forests related to branching processes and random walks / J. Pitman |
| Coupling from the past: A user's guide / J. Propp ; D. Wilson |
| Couplings for normal approximations with Stein's method / G. Reinert |
| Annotated bibliography of perfectly random sampling with Markov chains / D. B. Wilson |
| Tree-valued Markov chains and Poisson-Galton-Watson distributions / D. Aldous |
| On the central role of scale invariant Poisson processes on $(0, \infty)$ / R. Arratia |
| Beyond the method of bounded differences / A. P. Godbole ; P. Hitczenko |
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| 6.
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図書
|
神保秀一著
| 出版情報: |
東京 : サイエンス社, 1999.1 v, 172p ; 21cm |
| シリーズ名: |
数学基礎コース ; H4 |
| 子書誌情報: |
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| 所蔵情報: |
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| 7.
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図書
|
Bert Fristedt, Lawrence Gray
目次情報:
続きを見る
| List of Tables |
| Preface |
| Probability Spaces, Random Variables, and Expectations / Part I： |
| Probability Spaces |
| Random Variables |
| Distribution Functions |
| Expectations: Theory |
| Expectations: Applications |
| Calculating Probabilities and Measures |
| Measure Theory: Existence and Uniqueness |
| Integration Theory |
| Independence and Sums / Part 2： |
| Stochastic Independence |
| Sums of Independent Random Variables |
| Random Walk |
| Theorems of A.S. Convergence |
| Characteristic Functions |
| Convergence in Distribution / Part 3： |
| Convergence in Distribution on the Real Line |
| Distributional Limit Theorems for Partial Sums |
| Infinitely Divisible and Stable Distributions as Limits |
| Convergence in Distribution on Polish Spaces |
| The Invariance Principle and Brownian Motion |
| Conditioning / Part 4： |
| Spaces of Random Variables |
| Conditional Probabilities |
| Construction of Random Sequences |
| Conditional Expectations |
| Random Sequences / Part 5： |
| Martingales |
| Renewal Sequences |
| Time-homogeneous Markov Sequences |
| Exchangeable Sequences |
| Stationary Sequences |
| Stochastic Processes / Part 6： |
| Point Processes |
| Diffusions and Stochastic Calculus |
| Applications of Stochastic Calculus |
| Appendices / Part 7： |
| Notation and Usage of Terms |
| Metric Spaces |
| Topological Spaces |
| Riemann-Stieltjes Integration |
| Taylor Approximations, C-Valued Logarithms |
| Bibliography |
| Comments and Credits |
| Index |
| List of Tables |
| Preface |
| Probability Spaces, Random Variables, and Expectations / Part I： |
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| 8.
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図書
|
Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza
|
| 9.
|
図書
|
Ken-ichi Yoshihara
|
| 10.
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図書
|
Charles M. Goldie and Richard G.E. Pinch
目次情報:
続きを見る
| Preface |
| Introduction |
| Economical representations: noiseless coding / 1： |
| Properties of a message source / 2： |
| Reliable transmission / 3： |
| Channel coding theorems / 4： |
| Error-control codes / 5： |
| Cyclic codes / 6： |
| Appendix / 7： |
| Bibliography |
| Notation summary |
| Index |
| Preface |
| Introduction |
| Economical representations: noiseless coding / 1： |
|
| 11.
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図書
|
E.J. Hinch
目次情報:
続きを見る
| Preface |
| Algebraic equations / 1： |
| Asymptotic expansions / 2： |
| Integrals / 3： |
| Regular problems in PDEs / 4： |
| Matched asymptotic expansions / 5： |
| Method of strained coordinates / 6： |
| Method of multiple scales / 7： |
| Improved convergence / 8： |
| Bibliography |
| Index |
| Preface |
| Algebraic equations / 1： |
| Asymptotic expansions / 2： |
|
| 12.
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図書
|
N. Bellomo, Z. Brzezniak and L.M. de Socio
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| 13.
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図書
|
William Cook, Paul D. Seymour, editors
目次情報:
続きを見る
| Matrix cones, projection representations, and stable set polyhedra / L. Lovasz ; A. Schrijver |
| A generalization of Lovasz's $\theta$ function / G. Narasimhan ; R. Manber |
| On cutting planes and matrices / A. M. H. Gerards |
| Random volumes in the $n$-cube / M. E. Dyer ; A. Furedi ; C. McDiarmid |
| Test sets for integer programs, $\forall \exists$ sentences / R. Kannan |
| Solvable classes of generalized traveling salesman problems / S. N. Kabadi ; R. Chandrasekaran |
| Handles and teeth in the symmetric traveling salesman polytope / D. Naddef |
| On the complexity of branch and cut methods for the traveling salesman problem / W. Cook ; M. Hartmann |
| Existentially polytime theorems / K. Cameron ; J. Edmonds |
| The width-length inequality and degenerate projective planes / A. Lehman |
| On Lehman's width-length characterization / P. D. Seymour |
| Applications of polyhedral combinatorics to multicommodity flows and compact surfaces |
| Vertex-disjoint simple paths of given homotopy in a planar graph / A. Frank |
| On disjoint homotopic paths in the plane |
| On the complexity of the disjoint paths problem (extended abstract) / M. Middendorf ; F. Pfeiffer |
| The paths-selection problem |
| Planar multicommodity flows, max cut, and the Chinese postman problem / F. Barahona |
| The cographic multiflow problem: An epilogue / A. Sebo |
| Exact edge-colorings of graphs without prescribed minors / O. Marcotte |
| On the chromatic index of multigraphs and a conjecture of Seymour, (II) |
| Spanning trees of different weights |
| Matrix cones, projection representations, and stable set polyhedra / L. Lovasz ; A. Schrijver |
| A generalization of Lovasz's $\theta$ function / G. Narasimhan ; R. Manber |
| On cutting planes and matrices / A. M. H. Gerards |
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| 14.
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図書
|
edited by William J. Stewart
|
| 15.
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図書
|
Ellery Eells
目次情報:
続きを見る
| Preface |
| Introduction |
| Populations and probability / 1： |
| Spurious correlation and probability increase / 2： |
| Causal interaction and probability increase / 3： |
| Causal intermediaries and transitivity / 4： |
| Temporal priority, asymmetry, and some comparisons / 5： |
| Token-level probabilistic causationl Appendixes / 6： |
| Bibliography |
| Index |
| Preface |
| Introduction |
| Populations and probability / 1： |
|
| 16.
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図書
|
edited by G. Dall'Aglio, S. Kotz and G. Salinetti
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| 17.
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図書
|
Richard A. Brualdi, Herbert J. Ryser
目次情報:
続きを見る
| Incidence matrices / 1： |
| Matrices and graphs / 2： |
| Matrices and digraphs / 3： |
| Matrices and bigraphs / 4： |
| Combinatorial matrix algebra / 5： |
| Existence theorems for combinatorially constrained matrices / 6： |
| Some special graphs / 7： |
| The permanent / 8： |
| Latin squares / 9： |
| Incidence matrices / 1： |
| Matrices and graphs / 2： |
| Matrices and digraphs / 3： |
|
| 18.
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図書
|
edited by N.U. Prabhu, I.V. Basawa
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| 19.
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図書
|
Jan Grandell
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| 20.
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図書
|
E. Çınlar, editor ; P.J. Fitzsimmons, R.J. Williams, managing editors
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| 21.
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図書
|
Svetlozar T. Rachev
|
| 22.
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図書
|
Gavin J.S. Ross
|
| 23.
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図書
|
edited by George P.H. Styan
目次情報:
続きを見る
| Partial table of contents |
| Some Significance Tests for Normal Bivariate Distributions / D. Villars ; T. Anderson |
| On the Theory of Testing Serial Correlation |
| Classification by Multivariate Analysis |
| A Test of Goodness of Fit |
| Some Recent Results in Latent Structure Analysis |
| On Asymptotic Distributions of Estimates of Parameters of Stochastic Difference Equations |
| Least Squares and Best Unbiased Estimates |
| A Test for Equality of Means When Covariance Matrices Are Unequal |
| On Bayes Procedures for a Problem with Choice of Observations |
| Large Sample Distribution Theory for Estimates of the Parameters of a Latent Class Model |
| Tests for Randomness of Directions Against Equatorial and Bimodal Alternatives |
| An Extremal Problem for Positive Definite Matrices |
| Maximum Likelihood Estimation in Autoregressive and Moving Average Models |
| A New Proof of Admissibility of Tests in the Multivariate Analysis of Variance |
| Maximum Likelihood Estimation of the Parameters of a Multivariate Normal Distribution |
| Commentaries |
| Index |
| Partial table of contents |
| Some Significance Tests for Normal Bivariate Distributions / D. Villars ; T. Anderson |
| On the Theory of Testing Serial Correlation |
|
| 24.
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図書
|
Rainer Bodendiek, Rudolf Henn (eds.)
| 出版情報: |
Heidelberg : Physica, c1990 xix, 792 p. ; 25 cm |
| 子書誌情報: |
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| 25.
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図書
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T. J. Hastie and R. J. Tibshirani
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| 26.
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図書
|
Paul E. Pfeiffer
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| 27.
|
図書
|
Ronald Christensen
|
| 28.
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図書
|
Françoise Chatelin ; with exercises by Mario Ahués and Françoise Chatelin ; translated with additional material by Walter Ledermann
| 出版情報: |
New York ; Chichester : Wiley & Sons, c1993 xviii, 382 p. ; 24 cm |
| 子書誌情報: |
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| 29.
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図書
|
Eli Maor
| 出版情報: |
Princeton, N.J. : Princeton University Press, c1994 xiv, 223 p. ; 25 cm |
| 子書誌情報: |
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| 所蔵情報: |
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| 30.
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図書
|
Olavi Nevanlinna
|
| 31.
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図書
|
Christopher D. Sogge
目次情報:
続きを見る
| Background |
| Stationary phase / 1： |
| Non-homogeneous oscillatory integral operators / 2： |
| Pseudo-differential operators / 3： |
| The half-wave operator and functions of pseudo-differential operators / 4： |
| Lp estimates of eigenfunctions / 5： |
| Fourier integral operators / 6： |
| Local smoothing of Fourier integral operators / 7： |
| Appendix |
| Lagrangian subspaces of T*IRn |
| Background |
| Stationary phase / 1： |
| Non-homogeneous oscillatory integral operators / 2： |
|
| 32.
|
図書
|
Ken-iti Sato
目次情報:
続きを見る
| Preface |
| Remarks on notation |
| Basic examples / 1： |
| Characterization and existence of Lèvy and additive processes / 2： |
| Stable processes and their extensions / 3： |
| The Lèvy-Ito decomposition of sample functions / 4： |
| Distributional properties of Lèvy processes / 5： |
| Subordination and density transformation / 6： |
| Recurrence and transience / 7： |
| Potential theory for Lèvy processes / 8： |
| Wiener-Hopf factorizations / 9： |
| More distributional properties / 10： |
| Solutions to exercises |
| References and author index |
| Subject index |
| Preface |
| Remarks on notation |
| Basic examples / 1： |
|
| 33.
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図書
|
Joseph Warren Dauben
| 出版情報: |
Princeton, N.J. : Princeton University Press, 1990, c1979 ix, 404 p. ; 24 cm |
| シリーズ名: |
Princeton paperbacks |
| 子書誌情報: |
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| 34.
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図書
|
Murray Rosenblatt
|
| 35.
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図書
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edited by William J. Stewart
| 出版情報: |
Boston : Kluwer Academic Publishers, c1995 xvi, 600 p. ; 25 cm |
| 子書誌情報: |
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| 36.
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図書
|
Janos Galambos
目次情報:
続きを見る
| Review of basic concepts |
| expectation and integral, weak and strong convergence |
| transforms of distribution |
| infinite sequences of independent random variables |
| weak convergence |
| triangular arrays of independent random variables, infinitely divisible distributions |
| indipendent and identically distributed random variables |
| conditional exceptions |
| martingales |
| topics in the theory of stochastic processes |
| hints for solutions of exercises |
| Review of basic concepts |
| expectation and integral, weak and strong convergence |
| transforms of distribution |
|
| 37.
|
図書
|
Daniel Revuz
| 出版情報: |
Paris : Hermann, c1997 vii, 301 p. ; 22 cm |
| シリーズ名: |
Collection méthodes |
| 子書誌情報: |
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| 38.
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図書
|
新井朝雄著
| 出版情報: |
東京 : 共立出版, 1997.1 viii, 276p ; 22cm |
| シリーズ名: |
共立講座21世紀の数学 ; 16 |
| 子書誌情報: |
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| 39.
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図書
|
Richard F. Bass
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| 40.
|
図書
|
by V.N. Fomin
|
| 41.
|
図書
|
井川満著
| 出版情報: |
東京 : 裳華房, 1996.6 vii, 319p ; 22cm |
| シリーズ名: |
数学選書 ; 13 |
| 子書誌情報: |
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| 42.
|
図書
|
宮西正宜著
| 出版情報: |
東京 : 裳華房, 1990.7 vi, 332p ; 22cm |
| シリーズ名: |
数学選書 ; 10 |
| 子書誌情報: |
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| 43.
|
図書
東工大
目次DB
|
野口潤次郎著
| 出版情報: |
東京 : 裳華房, 1993.5 viii, 307p ; 22cm |
| シリーズ名: |
数学選書 ; 12 |
| 子書誌情報: |
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目次情報:
続きを見る
| 1.複素数 |
| §1.複素数 1 |
| §2.平面位相 4 |
| §3.数列と極限 13 |
| 問題 19 |
| 2.複素関数 |
| §1.複素関数 21 |
| §2.複素関数列 23 |
| §3.関数項級数 28 |
| §4.べき級数 31 |
| §5.指数関数と三角関数 37 |
| §6.無限乗積 41 |
| §7.リーマン球面 45 |
| §8.一次変換 48 |
| 問題 56 |
| 3.正則関数 |
| §1.複素微分 59 |
| §2.線積分 66 |
| §3.曲線のホモトピー 75 |
| §4.コーシーの積分定理 80 |
| §5.積分表示 86 |
| §6.平均値定理と調和関数 96 |
| §7.リーマン球面上の正則関数 103 |
| 問題 107 |
| 4.留数定理 |
| §1.ローラン展開 109 |
| §2.有理型関数と留数定理 113 |
| §3.偏角の原理 119 |
| §4.留数計算 127 |
| 問題 137 |
| 5.解析接続 |
| §1.解析接続 139 |
| §2.一価性定理 148 |
| §3.普遍被覆面とリーマン面 154 |
| 問題 165 |
| 6.正則写像 |
| §1.一次変換 167 |
| §2.ポアンカレ計量 170 |
| §3.短縮原理 177 |
| §4.リーマンの写像定理 182 |
| §5.境界対応 187 |
| §6.C/{0,1}の普遍被覆面 194 |
| §7.ピカールの小定理 199 |
| §8.ピカールの大定理 203 |
| 問題 208 |
| 7.有理型関数 |
| §1.近似定理 211 |
| §2.存在定理 217 |
| §3.リーマン・スチルチェス積分 225 |
| §4.C上の有理型関数 228 |
| §5.ワイエルシュトラース積 237 |
| §6.楕円関数 245 |
| 問題 264 |
| 問題のヒント・略解 267 |
| あとがき 296 |
| 記号表 299 |
| 索引 301 |
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