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1.

図書

図書
Carl A. Bennett, Norman L. Franklin ; sponsored by the Committee on Applied Mathematical Statistics, the National Research Council
出版情報: New York : Wiley, c1954  xvi, 724 p. ; 24 cm
シリーズ名: Wiley publications in statistics ; . Applied statistics
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2.

図書

図書
T.W. Anderson
出版情報: New York : J. Wiley, c1958  xii, 374 p. ; 24 cm
シリーズ名: A Wiley publication in mathematical statistics
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3.

図書

図書
by E.J. Gumbel
出版情報: New York : Columbia University Press, 1958  xx, 375 p. ; 24 cm
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目次情報: 続きを見る
Aims and Tools / Chapter 1:
Aims / 1.0.:
Conditions / 1.0.1.:
History / 1.0.2.:
The Flood Problem / 1.0.3.:
Methodology / 1.0.4.:
Arrangement of Contents / 1.0.5.:
General Tools / 1.1.:
Linear Transformations / 1.1.1.:
Other Transformations / 1.1.2.:
Symmetry / 1.1.3.:
Measures of Dispersion / 1.1.4.:
Moments / 1.1.5.:
Generating Function / 1.1.6.:
Convolution / 1.1.7.:
The Gamma Function / 1.1.8.:
The Logarithmic Normal Distribution / 1.1.9.:
Specific Tools / 1.2.:
Problems / 1.2.0.:
The Intensity Function / 1.2.1.:
The Distribution of Repeated Occurrences / 1.2.2.:
Analysis of Return Periods / 1.2.3.:
"Observed" Distributions / 1.2.4.:
Construction of Probability Papers / 1.2.5.:
The Plotting Problem / 1.2.6.:
Conditions for Plotting Positions / 1.2.7.:
Fitting Straight Lines on Probability Papers / 1.2.8.:
Application to the Normal Distribution / 1.2.9.:
Order Statistics and Their Exceedances / Chapter 2:
Order Statistics / 2.1.:
Distributions / 2.1.0.:
Averages / 2.1.2.:
Distribution of Frequencies / 2.1.3.:
Asymptotic Distribution of mth Central Values / 2.1.4.:
The Order Statistic with Minimum Variance / 2.1.5.:
Control Band / 2.1.6.:
Joint Distribution of Order Statistics / 2.1.7.:
Distribution of Distances / 2.1.8.:
The Distribution of Exceedances / 2.2.:
Introduction / 2.2.0.:
Distribution of the Number of Exceedances / 2.2.1.:
The Median / 2.2.2.:
The Probability of Exceedances as Tolerance Limit / 2.2.4.:
Extrapolation from Small Samples / 2.2.5.:
Normal and Rare Exceedances / 2.2.6.:
Frequent Exceedances / 2.2.7.:
Summary / 2.2.8.:
Exact Distribution of Extremes / Chapter 3:
Averages of Extremes / 3.1.:
Exact Distributions / 3.1.0.:
Return Periods of Largest and Large Values / 3.1.2.:
Quantiles of Extremes / 3.1.3.:
Characteristic Extremes / 3.1.4.:
The Extremal Intensity Function / 3.1.5.:
The Mode / 3.1.6.:
The Maximum of the Mean Largest Value / 3.1.7.:
Extremal Statistics / 3.2.:
Absolute Extreme Values / 3.2.0.:
Exact Distribution of Range / 3.2.2.:
The Mean Range / 3.2.3.:
The Range as Tolerance Limit / 3.2.4.:
The Maximum of the Mean Range / 3.2.5.:
Exact Distribution of the Midrange / 3.2.6.:
Asymptotic Independence of Extremes / 3.2.7.:
The Extremal Quotient / 3.2.8.:
Analytical Study of Extremes / Chapter 4:
The Exponential Type / 4.1.:
Largest Value for the Exponential Distribution / 4.1.0.:
Order Statistics for the Exponential Distribution / 4.1.2.:
L'Hopital's Rule / 4.1.3.:
Definition of the Exponential Type / 4.1.4.:
The Three Classes / 4.1.5.:
The Logarithmic Trend / 4.1.6.:
The Characteristic Product / 4.1.7.:
Extremes of the Exponential Type / 4.2.:
The Logistic Distribution / 4.2.0.:
Normal Extremes, Numerical Values / 4.2.2.:
Analysis of Normal Extremes / 4.2.3.:
Normal Extreme Deviates / 4.2.4.:
Gamma Distribution / 4.2.5.:
Logarithmic Normal Distribution / 4.2.6.:
The Normal Distribution as a Distribution of Extremes / 4.2.7.:
The Cauchy Type / 4.3.:
The Exponential Type and the Existence of Moments / 4.3.0.:
Pareto's Distribution / 4.3.2.:
Definition of the Pareto and the Cauchy Types / 4.3.3.:
Extremal Properties / 4.3.4.:
Other Distributions without Moments / 4.3.5.:
The First Asymptotic Distribution / 4.3.6.:
The Three Asymptotes / 5.1.:
Preliminary Derivation / 5.1.0.:
The Stability Postulate / 5.1.2.:
Outline of Other Derivations / 5.1.3.:
Interdependence / 5.1.4.:
The Double Exponential Distribution / 5.2.:
Derivations / 5.2.0.:
The Methods of Cramer and Von Mises / 5.2.2.:
Mode and Median / 5.2.3.:
Generating Functions / 5.2.4.:
Standard and Mean Deviations / 5.2.5.:
Probability Paper and Return Period / 5.2.6.:
Comparison with Other Distributions / 5.2.7.:
Barricelli's Generalization / 5.2.8.:
Extreme Order Statistics / 5.3.:
Distribution of the MTH Extreme / 5.3.0.:
Probabilities of the mth Extreme / 5.3.2.:
Cramer's Distribution of MTH Extremes / 5.3.3.:
Extreme Distances / 5.3.5.:
The Largest Absolute Value and the Two Sample Problem / 5.3.6.:
Uses of the First Asymptote / Chapter 6:
Order Statistics from the Double Exponential Distribution / 6.1.:
Maxima of Largest Values / 6.1.0.:
Minima of Largest Values / 6.1.2.:
Consecutive Modes / 6.1.3.:
Consecutive Means and Variances / 6.1.4.:
Standard Errors / 6.1.5.:
Extension of the Control Band / 6.1.6.:
The Control Curve of Dick and Darwin / 6.1.7.:
Estimation of Parameters / 6.2.:
Exponential and Normal Extremes / 6.2.0.:
Use of Order Statistics / 6.2.2.:
Estimates for Probability Paper / 6.2.3.:
Sufficient Estimation Functions / B. F. Kimball6.2.4.:
Maximum Likelihood Estimations / 6.2.5.:
Approximate Solutions / 6.2.6.:
Asymptotic Variance of a Forecast / 6.2.7.:
Numerical Examples / 6.3.:
Floods / 6.3.0.:
The Design Flood / 6.3.2.:
Meteorological Examples / 6.3.3.:
Application to Aeronautics / 6.3.4.:
Oldest Ages / 6.3.5.:
Breaking Strength / 6.3.6.:
Breakdown Voltage / 6.3.7.:
Applications to Naval Engineering / 6.3.8.:
An Application to Geology / 6.3.9.:
The Second and Third Asymptotes / Chapter 7:
The Second Asymptote / 7.1.:
Frechet's Derivation / 7.1.0.:
Averages and Moments / 7.1.2.:
Estimation of the Parameters / 7.1.4.:
The Increase of the Extremes / 7.1.5.:
Generalization / 7.1.6.:
Applications / 7.1.7.:
The Third Asymptote / 7.1.8.:
The Von Mises Derivation / 7.2.0.:
Other Derivations / 7.2.2.:
Averages and Moments of Smallest Values / 7.2.3.:
Special Cases / 7.2.4.:
The 15 Relations Among the 3 Asymptotes / 7.2.5.:
Applications of the Third Asymptote / 7.3.:
Estimation of the Three Parameters / 7.3.0.:
Estimation of Two Parameters / 7.3.2.:
Analytical Examples / 7.3.3.:
Droughts / 7.3.4.:
Fatigue Failures / 7.3.5.:
The Range / Chapter 8:
Asymptotic Distributions of Range and Midrange / 8.1.:
The Range of Minima / 8.1.0.:
Generating Function of the Range / 8.1.2.:
The Reduced Range / 8.1.3.:
Asymptotic Distribution of the Midrange / 8.1.4.:
A Bivariate Transformation / 8.1.5.:
Asymptotic Distribution of the Range / 8.1.6.:
Boundary Conditions / 8.1.7.:
Extreme Ranges / 8.1.8.:
Extremal Quotient and Geometric Range / 8.1.9.:
Definitions / 8.2.0.:
The Geometric Range / 8.2.2.:
The Midrange / 8.3.:
The Parameters in the Distribution of Range / 8.3.2.:
Normal Ranges / 8.3.3.:
Estimation of Initial Standard Deviation / 8.3.4.:
Climatological Examples / 8.3.5.:
Bibliography
Index
Aims and Tools / Chapter 1:
Aims / 1.0.:
Conditions / 1.0.1.:
4.

図書

図書
by Mark Kac
出版情報: [Ithaca, N.Y.] : Mathematical Association of America : Distributed by J. Wiley, 1959  xiv, 93 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 12
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5.

図書

図書
by Alexander McFarlane Mood
出版情報: New York ; Toronto ; London : McGraw-Hill, 1950  xiii, 433 p. ; 24 cm
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6.

図書

図書
W. J. Youden
出版情報: New York : Wiley, c1951  x, 126 p. ; 24 cm
シリーズ名: Wiley publications in statistics ; . Applied statistics
A Wiley publication in applied statistics
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7.

図書

図書
Robert V. Hogg, Allen T. Craig
出版情報: New York : Macmillan, 1959  ix, 245 p. ; 24 cm
シリーズ名: A series of mathematics texts
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目次情報: 続きを見る
Probability and Distribution / 1:
Multivariate Distributions / 2:
Some Special Distributions / 3:
Unbiasedness, Consistency, and Limiting Distributions / 4:
Introduction to Inference / 5:
Maximum Likelihood Methods / 6:
Sufficiency / 7:
Optimal Tests of Hypotheses / 8:
Inferences about Normal Models / 9:
Nonparametric Statistics / 10:
Bayesian Statistics / 11:
Comparison of Least Squares and Robust Procedures for Linear Models / 12:
gularity Conditions / Appendix A:
R-Functions / Appendix B:
Probability and Distribution / 1:
Multivariate Distributions / 2:
Some Special Distributions / 3:
8.

図書

図書
B. W. Lindgren, G. W. McElrath
出版情報: New York : Macmillan, 1959  xiii, 277 p. ; ill. ; 23 cm
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9.

図書

図書
by Abraham Wald ; edited for the Institute of Mathematical Statistics [by] T.W. Anderson, committee chairman ... [et al.]
出版情報: New York : McGraw-Hill, 1955  ix, 702 p. ; 27 cm
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10.

図書

図書
Gunnar Blom
出版情報: New York : Wiley, c1958  176 p. ; 24 cm
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