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1.

図書
図書
1. Ecole d'eté de probabilités de Saint-Flour VIII-1978 (: Berlin ; : New York)
R. Azencott, Y. Guivarc'h, R.F. Gundy ; edité par P.L. Hennequin
出版情報: Berlin ; New York : Springer-Verlag, 1980  xiii, 334 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 774
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目次情報: 続きを見る
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
Learning mathematical reasoning in a collaborative whole class discussion
Classroom practices for teaching and learning mathematical reasoning
Teaching mathematics with the five strands
Teaching the practices of justification and explanation
Learner contributions
Teacher moves
Dilemmas in teaching mathematical reasoning
Learner resistance to mathematical conversations
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
2.

図書
図書
2. Probabilistic approach to mechanisms
B.Z. Sandler
出版情報: Amsterdam ; New York : Elsevier, 1984  xi, 301 p. ; 25 cm
シリーズ名: Studies in applied mechanics ; 8
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3.

図書
図書
3. Probability theory and elements of measure theory. 2nd English ed
Heinz Bauer ; English translation by R.B. Burckel ; adapted from the first English ed. and based on the third German ed
出版情報: London ; New York : Academic Press, 1981  xiii, 460 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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4.

図書
図書
4. Probability and random variables (: Halsted Press - : Ellis Horwood Ltd. student ed)
G.P. Beaumont
出版情報: Chichester, England : Ellis Horwood, 1986  345 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications ; . Statistics and operational research
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5.

図書
図書
5. Probability theory with applications
M.M. Rao
出版情報: New York ; Tokyo : Academic Press, 1984  xii, 495 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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目次情報: 続きを見る
Preface
List of Symbols
Background Material and Preliminaries
Independence and Strong Convergence
Conditioning and Some Dependence Classes
Probability Distributions and Characteristic Functions
Weak Limit Laws
Application to Some Statistical Estimation Problems
Stopping Times, Martingales, and Convergence
Limit Laws for Some Dependent Sequences
A Glimpse into Stochastic Processes
References
Author Index
Subject Index
Preface
List of Symbols
Background Material and Preliminaries
6.

図書
図書
6. Probability distributions on Banach spaces
by N.N. Vakhania, V.I. Tarieladze and S.A. Chobanyan ; translated by Wojbor A. Woyczynski
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co., c1987  xxvi, 482 p. ; 23 cm
シリーズ名: Mathematics and its applications ; Soviet series
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7.

図書
図書
7. Random media
George Papanicolaou, editor
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xi, 321 p. ; 25 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 7
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8.

図書
図書
8. Introduction to probability and statistics. 7th ed
William Mendenhall
出版情報: Boston : Duxbury Press, c1987  xvi, 783, 100 p. ; 25 cm
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目次情報: 続きを見る
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
Achieving the Objective of Inferential Statistics: The Necessary Steps
Describing Data with Graphs / 1：
Variables and Data / 1.1：
Types of Variables / 1.2：
Graphs for Categorical Data / 1.3：
Graphs for Quantitative Data / 1.4：
Relative Frequency Histograms / 1.5：
Describing Data with Numerical Measures / 2：
Describing a Set of Data with Numerical Measures / 2.1：
Measures of Center / 2.2：
Measures of Variability / 2.3：
On the Practical Significance of the Standard Deviation / 2.4：
A Check on the Calculation of s / 2.5：
Measures of Relative Standing / 2.6：
The Five-Number Summary and the Box Plot / 2.7：
Describing Bivariate Data / 3：
Bivariate Data / 3.1：
Graphs for Qualitative Variables / 3.2：
Scatterplots for Two Quantitative Variables / 3.3：
Numerical Measures for Quantitative Bivariate Data / 3.4：
Probability and Probability Distributions / 4：
The Role of Probability in Statistics / 4.1：
Events and the Sample Space / 4.2：
Calculating Probabilities Using Simple Events / 4.3：
Useful Counting Rules (Optional) / 4.4：
Event Relations and Probability Rules / 4.5：
Conditional Probability, Independence, and the Multiplicative Rule / 4.6：
Bayes' Rule (Optional) / 4.7：
Discrete Random Variables and Their Probability Distributions / 4.8：
Several Useful Discrete Distributions / 5：
Introduction / 5.1：
The Binomial Probability Distribution / 5.2：
The Poisson Probability Distribution / 5.3：
The Hypergeometric Probability Distribution / 5.4：
The Normal Probability Distribution / 6：
Probability Distributions for Continuous Random Variables / 6.1：
Tabulated Areas of the Normal Probability Distribution / 6.2：
The Normal Approximation to the Binomial Probability Distribution (Optional) / 6.4：
Sampling Distributions / 7：
Sampling Plans and Experimental Designs / 7.1：
Statistics and Sampling Distributions / 7.3：
The Central Limit Theorem / 7.4：
The Sampling Distribution of the Sample Mean / 7.5：
The Sampling Distribution of the Sample Proportion / 7.6：
A Sampling Application: Statistical Process Control (Optional) / 7.7：
Large-Sample Estimation / 8：
Where We've Been / 8.1：
Where We're Going--Statistical Inference / 8.2：
Types of Estimators / 8.3：
Point Estimation / 8.4：
Interval Estimation / 8.5：
Estimating the Difference between Two Population Means / 8.6：
Estimating the Difference between Two Binomial Proportions / 8.7：
One-Sided Confidence Bounds / 8.8：
Choosing the Sample Size / 8.9：
Large-Sample Tests of Hypotheses / 9：
Testing Hypotheses about Population Parameters / 9.1：
A Statistical Test of Hypothesis / 9.2：
A Large-Sample Test about a Population Mean / 9.3：
A Large-Sample Test of Hypothesis for the Difference between Two Population Means / 9.4：
A Large-Sample Test of Hypothesis for a Binomial Proportion / 9.5：
A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions / 9.6：
Some Comments on Testing Hypotheses / 9.7：
Inference from Small Samples / 10：
Student's t Distribution / 10.1：
Small-Sample Inferences Concerning a Population Mean / 10.3：
Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples / 10.4：
Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test / 10.5：
Inferences Concerning a Population Variance / 10.6：
Comparing Two Population Variances / 10.7：
Revisiting the Small-Sample Assumptions / 10.8：
The Analysis of Variance / 11：
The Design of an Experiment / 11.1：
What Is an Analysis of Variance? / 11.2：
The Assumptions for an Analysis of Variance / 11.3：
The Completely Randomized Design: A One-Way Classification / 11.4：
The Analysis of Variance for a Completely Randomized Design / 11.5：
Ranking Population Means / 11.6：
The Randomized Block Design: A Two-Way Classification / 11.7：
The Analysis of Variance for a Randomized Block Design / 11.8：
The a x b Factorial Experiment: A Two-Way Classification / 11.9：
The Analysis of Variance for an a x b Factorial Experiment / 11.10：
Revisiting the Analysis of Variance Assumptions / 11.11：
A Brief Summary / 11.12：
Linear Regression and Correlation / 12：
A Simple Linear Probabilistic Model / 12.1：
The Method of Least Squares / 12.3：
An Analysis of Variance for Linear Regression / 12.4：
Testing the Usefulness of the Linear Regression Model / 12.5：
Diagnostic Tools for Checking the Regression Assumptions / 12.6：
Estimation and Prediction Using the Fitted Line / 12.7：
Correlation Analysis / 12.8：
Multiple Regression Analysis / 13：
The Multiple Regression Model / 13.1：
A Multiple Regression Analysis / 13.3：
A Polynomial Regression Model / 13.4：
Using Quantitative and Qualitative Predictor Variables in a Regression Model / 13.5：
Testing Sets of Regression Coefficients / 13.6：
Interpreting Residual Plots / 13.7：
Stepwise Regression Analysis / 13.8：
Misinterpreting a Regression Analysis / 13.9：
Steps to Follow When Building a Multiple Regression Model / 13.10：
Analysis of Categorical Data / 14：
A Description of the Experiment / 14.1：
Pearson's Chi-Square Statistic / 14.2：
Testing Specified Cell Probabilities: The Goodness-of-Fit Test / 14.3：
Contingency Tables: A Two-Way Classification / 14.4：
Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals / 14.5：
The Equivalence of Statistical Tests / 14.6：
Other Applications of the Chi-Square Test / 14.7：
Nonparametric Statistics / 15：
The Wilcoxon Rank Sum Test: Independent Random Samples / 15.1：
The Sign Test for a Paired Experiment / 15.3：
A Comparison of Statistical Tests / 15.4：
The Wilcoxon Signed-Rank Test for a Paired Experiment / 15.5：
The Kruskal-Wallis H Test for Completely Randomized Designs / 15.6：
The Friedman F[subscript r] Test for Randomized Block Designs / 15.7：
Rank Correlation Coefficient / 15.8：
Summary / 15.9：
Appendix I
Cumulative Binomial Probabilities / Table 1：
Cumulative Poisson Probabilities / Table 2：
Areas under the Normal Curve / Table 3：
Critical Values of t / Table 4：
Critical Values of Chi-Square / Table 5：
Percentage Points of the F Distribution / Table 6：
Critical Values of T for the Wilcoxon Rank Sum Test, n[subscript 1] [less than or equal] n[subscript 2] / Table 7：
Critical Values of T for the Wilcoxon Signed-Rank Test, n = 5(1)50 / Table 8：
Critical Values of Spearman's Rank Correlation Coefficient for a One-Tailed Test / Table 9：
Random Numbers / Table 10：
Percentage Points of the Studentized Range, q[subscript [alpha](k, df) / Table 11：
Answers to Selected Exercises
Index
Credits
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
9.

図書
図書
9. Geometry and probability in Banach spaces (: Berlin ; : New York)
Laurent Schwartz ; notes by Paul R. Chernoff
出版情報: Berlin ; New York : Springer-Verlag, 1981  x, 101 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 852
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10.

図書
図書
10. Ecole d'été de probabilités de Saint-Flour IX-1979 (: Berlin ; : New York)
J.P. [sic] Bickel, N. El Karoui, M. Yor ; edité par P.L. Hennequin
出版情報: Berlin ; New York : Springer-Verlag, 1981  viii, 280 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 876
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目次情報:
Quelques aspects de la statistique robuste / J.P. [sic] Bickel
Les aspects probabilistes du contrôle stochastique / N. El Karoui
Sur la théorie du filtrage / M. Yor
Quelques aspects de la statistique robuste / J.P. [sic] Bickel
Les aspects probabilistes du contrôle stochastique / N. El Karoui
Sur la théorie du filtrage / M. Yor
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