| 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.： |
図書
