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Zbl 0821.62001
Johnson, Norman L.; Kotz, Samuel; Balakrishnan, N.
Continuous univariate distributions. Vol. 2. 2nd ed. (English)
[B] New York, NY: Wiley. xix, 719 p. \sterling 70.00 (1995). ISBN 0-471-58494-0

This is the third volume of the new edition of the four volumes sized ``Distributions in statistics.'' Similar to the first two companion volumes, this revised second part of ``Continuous univariate distributions'' (CUD), for the review of Vol. 1 see Zbl 0811.62001, has been expanded more than twice in size (from 306 to 719 pages). The distributions covered in this volume are: Extreme Value, Logistic, Laplace, Beta, Uniform, $F$-, $t$-, noncentral $\chi\sp 2$-, noncentral $F$-, noncentral $t$-distributions, distributions of correlation coefficients , and lifetime distributions. The chapter on Quadratic forms has been postponed to the projected revised edition of ``Continuous Multivariate Distributions.'' The length of all chapters has been substantially increased (about doubled). As in the first volume of CUD, the first chapters are more or less organised according to definition, genesis and historical remarks, moments, estimation of parameters, relations to other distributions. The $F$-, $t$-, and $\chi\sp 2$- distributions are of less interest in modelling, so estimation is almost no topic in these chapters.\par Many new examples of applications of distributions are included. Also numerous results relating to approximations are included. The number of references increased almost threefold (to over 2100 items). They are given at the end of the chapters.\par In summary, it can be said again: This second edition of ``Distributions in statistics'' will serve as the primary source for statistical distributions for a long time.
[R.Schlittgen (Hamburg)]

MSC 2000:: *62-00 Reference works (statistics)
62E15 Exact distribution theory in statistics
60-00 Reference works (probability theory)
62E10 Structure theory of statistical distributions

Keywords: bibliography; $F$-distributions; chi-square distributions; extreme value distributions; logistic distributions; beta distributions; uniform distributions; $t$-distributions; Laplace distributions; distributions of correlation coefficients; lifetime distributions; moments; estimation of parameters; examples of applications; approximations

Citations: Zbl 0811.62001

Cited in: Zbl 1088.62020 Zbl 1094.62505 Zbl 0821.62003

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