Order Statistics

H. A. DAVID, PhD, is a Distinguished Professor Emeritus in the Department of Statistics at Iowa State University. He has authored over 100 publications, including the Second Edition of Order Statistics.H. N. NAGARAJA, PhD, is a professor in the Departments of Statistics and Internal Medicine at The Ohio State University. He coedited, along with P. K. Sen and D. F. Morrison, Statistical Theory and Applications: Papers in Honor of H. A. David, and coauthored, along with B. C. Arnold and N. Balakrishnan, Records.

"…Order Statistics will continue to be the most valuable source of reference for students and researchers alike." (Journal of the American Statistical Association, September 2004) "This book will be a useful addition to the library of any statistician. It is also a useful guide for students whose interest involves order statistics." (Technometrics, August 2004, Vol. 46, No. 3)"…continues to be both the textbook and guide to the research literature…the authors present in detail an up-to-date account of…the basic results of the subject of order statistics." (Mathematical Reviews, 2004f)“...an up-to-date account of the basic results of the subject...” (Quarterly of Applied Mathematics, Vol. LXII, No. 1, March 2004)

• Preface. 1. Introduction. 2. Basic Distribution Theory. 3. Expected Values and Moments. 4. Bounds and Approximations for Moments of Order Statistics. 5. The NON-IID Case. 6. Further Distribution Theory. 7. Order Statistics in Nonparametric Inference. 8. Order Statistics in Parametric Inference. 9. Short-Cut Procedures. 10. Asymptotic Theory. 11. Asymptotic Results for Functions of Order Statistics. Appendix: Guide to Tables and Algorithms. References. Index.