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Chapter Three: Exact Distribution of Extremes

E. J. Gumbel

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Statistics of Extremes

This chapter is in the book Statistics of Extremes

© 2019 Columbia University Press

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© 2019 Columbia University Press

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Chapters in this book

Frontmatter I
Preface VII
Contents IX
Graphs XVII
Chapter One: Aims and Tools 1
Chapter Two: Order Statistics and their Exceedances 42
Chapter Three: Exact Distribution of Extremes 75
Chapter Four: Analytical Study of Extremes 113
Chapter Five: The First Asymptotic Distribution 156
Chapter Six: Uses of the First Asymptote 201
Chapter Seven: The Second and Third Asymptotes 255
Chapter Eight: The Range 306
Summary 345
Bibliography 349
Index 373

https://doi.org/10.7312/gumb92958-005

Chapters in this book

Frontmatter I
Preface VII
Contents IX
Graphs XVII
Chapter One: Aims and Tools 1
Chapter Two: Order Statistics and their Exceedances 42
Chapter Three: Exact Distribution of Extremes 75
Chapter Four: Analytical Study of Extremes 113
Chapter Five: The First Asymptotic Distribution 156
Chapter Six: Uses of the First Asymptote 201
Chapter Seven: The Second and Third Asymptotes 255
Chapter Eight: The Range 306
Summary 345
Bibliography 349
Index 373

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