The Sichel model and the mixing and truncation order

References

• Atkinson , A. and Yeh , L. 1982 . Inference for Sichel's compound Poisson distribution . J. Amer. Statist. Assoc. , 77 : 153 – 158 .
   Web of Science ®Google Scholar
• Baayen , H. 2001 . Word Frequency Distributions , Dordrecht : Kluwer .
   Google Scholar
• Böhning , D. and Kuhnert , R. 2006 . Equivalence of truncated count mixture distributions and mixtures of truncated count distributions . Biometrics , 62 : 1207 – 1215 .
   PubMed Web of Science ®Google Scholar
• Chikkara , R. S. and Folks , J. L. 1989 . The Inverse Gaussian Distribution: Theory, Methodology and Applications , New York : Marcel Dekker .
   Google Scholar
• Engen , S. 1974 . On species frequency models . Biometrika , 61 : 263 – 270 .
   Web of Science ®Google Scholar
• Ginebra , J. and Puig , X. 2010 . On the measure and the estimation of the evenness and diversity . Computational Statistics and Data Analysis , 54 : 2187 – 2201 .
   Web of Science ®Google Scholar
• Giron , J. , Ginebra , J. and Riba , A. 2005 . Bayesian analysis of a multinomial sequence and homogeneity of literary style . Amer. Statist. , 32 : 61 – 74 .
   Google Scholar
• Good , I. J. 1953 . The population frequencies of species and the estimation of population parameters . Biometrika , 40 : 237 – 264 .
   Web of Science ®Google Scholar
• Greenwood , P. E. and Nikulin , M. S. 1996 . A Guide to Chi-squared Testing , New York : Wiley .
   Google Scholar
• Holla , M. S. 1966 . On a Poisson-inverse Gaussian distribution . Metrika , 11 : 115 – 121 .
   Google Scholar
• Holmes , D. I. 1985 . The analysis of literary style: A review . J. Roy. Statist. Soc. Ser. A , 148 : 328 – 341 .
   Google Scholar
• Holmes , D. I. 1992 . A stylometric analysis of mormon scripture and related texts . J. Roy. Statist. Soc. Ser. A , 155 : 91 – 120 .
   Google Scholar
• Holmes , D. I. and Forsyth , R. S. 1995 . The federalist revisited: New directions in authorship attribution . Lit. Linguist. Comput. , 10 : 111 – 127 .
   Google Scholar
• Jorgensen , B. 1982 . Statistical Properties of the Generalized Inverse Gaussian Distribution , New York : Springer-Verlag .
   Google Scholar
• Pollatschek , M. and Radday , Y. T. 1981 . Vocabulary richness and concentration in Hebrew biblical literature . Assoc. Lit. Linguist. Comput. Bull. , 8 : 217 – 231 .
   Google Scholar
• Puig , X. , Ginebra , J. and Perez-Casany , M. 2009 . Extended truncated inverse Gaussian–Poisson model . Statistical Modelling , 9 : 151 – 171 .
   Web of Science ®Google Scholar
• Riba , A. and Ginebra , J. 2005 . Change-point estimation in a multinomial sequence and homogeneity of literary style . J. Appl. Statist. , 32 : 61 – 74 .
   Web of Science ®Google Scholar
• Riba , A. and Ginebra , J. 2006 . Diversity of vocabulary and homogeneity of literary style . J. Appl. Statist. , 33 : 729 – 741 .
   Web of Science ®Google Scholar
• Seshadri , V. 1993 . The Inverse Gaussian Distribution: A Case Study in Exponential Families , Oxford : Clarendon Press .
   Google Scholar
• Seshadri , V. 1998 . The Inverse Gaussian Distribution: Statistical Theory and Applications , New York : Springer Verlag .
   Google Scholar
• Sichel , H. S. 1975 . On a distribution law for words frequencies . J. Am. Stat. Assoc. , 70 : 542 – 547 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1982 . Asymptotic efficiencies of three methods of estimation for the inverse Gaussian–Poisson distribution . Biometrika , 69 : 467 – 472 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1985 . A bibliometric distribution that really works . J. Amer. Soc. Inform. Sci. , 36 : 314 – 321 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1986 . Word frequency distributions and type-token characteristics . Math. Sci. , 11 : 45 – 72 .
   Google Scholar
• Sichel , H. S. 1986 . Parameter estimation for a word frequency distribution based on occupancy theory . Commun. Statist. Theory Methods , 15 : 935 – 949 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1992a . Anatomy of the generalized inverse Gaussian–Poisson distribution with special applications to bibliometric studies . Inform. Process. Manag. , 28 : 5 – 17 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1992b . Note on a strongly unimodal bibliometric size frequency distribution . J. Amer. Soc. Inform. Sci. , 43 : 299 – 303 .
   Web of Science ®Google Scholar
• Sichel , H. S. 1997 . Modelling species-abundance frequencies and species-individual functions with the generalized inverse Gaussian–Poisson distribution . South African Statisti. J. , 31 : 13 – 37 .
   Google Scholar
• Stein , G. Z. , Zucchini , W. and Juritz , J. M. 1987 . Parameter estimation for the Sichel distribution and its multivariate extension . J. Amer. Statist. Assoc. , 82 : 938 – 944 .
   Web of Science ®Google Scholar
• Yule , G. U. 1944 . The Statistical Study of Literary Vocabulary , London : Cambridge University Press .
   Google Scholar