1 Word Frequencies. - 1. 1 Introduction. - 1. 2 The frequency spectrum. - 1. 3 Zipf. - 1. 4 The quest for characteristic constants. - 1. 5 The lognormal distribution. - 1. 6 Discussion. - 1. 7 Bibliographical Comments. - 1. 8 Questions. - 2 Non-parametric models. - 2. 1 Basic concepts. - 2. 2 The Urn model. - 2. 3 The Structural Type Distribution. - 2. 4 The LNRE zone. - 2. 5 Good-Turing estimates. - 2. 6 Interpolation and Extrapolation. - 2. 7 Discussion. - 2. 8 Bibliographical Comments. - 2. 9 Questions. - 3 Parametric models. - 3. 1 Introduction. - 3. 2 LNRE models. - 3. 3 Evaluating Goodness of Fit. - 3. 4 Parameter estimation. - 3. 5 A comparative study. - 3. 6 Comparing Lexical Measures Across Texts. - 3. 7 Discussion. - 3. 8 Bibliographical Comments. - 3. 9 Questions. - 4 Mixture distributions. - 4. 1 Introduction. - 4. 2 Expectations variances and covariances. - 4. 3 Examples of mixture distributions. - 4. 4 Morphological Productivity. - 4. 5 Discussion. - 4. 6 Bibliographical Comments. - 4. 7 Questions. - 5 The Randomness Assumption. - 5. 1 The Randomness Assumption. - 5. 2 Adjusted LNRE models. - 5. 3 Discussion. - 5. 4 Bibliographical Comments. - 6 Examples of Applications. - 6. 1 Distributional properties of the lexicon. - 6. 2 Morphological productivity. - 6. 3 Authorship and Style. - 6. 4 Beyond word frequency distributions. - 6. 5 Some practical guidelines. - A List of Symbols. - B Solutions to the exercises. - C Software. - D Data sets. Language: English