Order Statistics: Applications by C. R. Rao - Bookswagon
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Home > Mathematics and Science Textbooks > Mathematics > Probability and statistics > Order Statistics: Applications: Volume 17(Volume 17 Handbook of Statistics)
Order Statistics: Applications: Volume 17(Volume 17 Handbook of Statistics)

Order Statistics: Applications: Volume 17(Volume 17 Handbook of Statistics)


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About the Book

This text presents the 17th and concluding volume of the "Statistics Handbook". It covers order statistics, dealing primarily with applications. The book is divided into six parts as follows: results for specific distributions; linear estimation; inferential methods; prediction; goodness-of-fit tests; and applications. Theoretical advances have been made in this area of research, and order statistics has also found important applications in many diverse areas, these include life-testing and reliability, robustness studies, statistical quality control, filtering theory, signal processing, image processing, and radar target detection. A variety of theoretical researchers, statisticians and engineers have been brought together to produce this handbook, and the subject of order statistics has been split across volumes 16 and 17. Volume 17 focuses on applications and an extensive author and subject index aims to offer easy access to all the material included in both volumes.

Table of Contents:
Part 1 Results for specific distributions: order statistics in exponential distribution; higher order moments of order statistics from exponential and right-truncated exponential distributions and applications to life-testing problems; log-gamma order statistics and linear estimation of parameters; recurrence relations for single and product moments or order statistics from a generalized logistic distribution with applications to inference and generalizations to double truncation; order statistics from the type III generalized logistic distribution and applications. Part 2 Linear estimation: estimation of scale parameter based on fixed set of order statistics; optimal linear inference using selected order statistics in location-scale models; on some L-estimation in linear regression models. Part 3 Inferential methods: the role of order statistics in estimating threshold parameters; parameter estimation under multiply type-II censoring; on some aspects of ranked set sampling in parametric estimation; some uses of order statistics in Bayesian analysis; inverse sampling procedures to test for homogeneity in a multinominal distribution. Part 4 Prediction: prediction of order statistics. Part 5 Goodness-of-fit tests: the probability plot - tests of fit based on the correlation coefficient; distribution assessment. Part 6 Applications: application of order statistics to sampling plans for inspection by variables; linear combinations of ordered symmetric observations with applications to visual acuity; order-statistic filtering and smoothing of time-series - part I; order-statistics filtering and smoothing of time-series - part II; order statistics in image processing; order statistics application to CFAR radar target detection.

About the Author :
Narayanaswamy Balakrishnan is a distinguished university professor in the Department of Mathematics and Statistics at McMaster University Hamilton, Ontario, Canada. He is an internationally recognized expert on statistical distribution theory, and a book-powerhouse with over 24 authored books, four authored handbooks, and 30 edited books under his name. He is currently the Editor-in-Chief of Communications in Statistics published by Taylor & Francis. He was also the Editor-in-Chief for the revised version of Encyclopedia of Statistical Sciences published by John Wiley & Sons. He is a Fellow of the American Statistical Association and a Fellow of the Institute of Mathematical Statistics. In 2016, he was awarded an Honorary Doctorate from The National and Kapodistrian University of Athens, Athens, Greece. In 2021, he was elected as a Fellow of the Royal Society of Canada. Professor C. R. Rao, born in India, is one of this century's foremost statisticians, and received his education in statistics at the Indian Statistical Institute (ISI), Calcutta. He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis. He has long been recognized as one of the world's top statisticians, and has been awarded 34 honorary doctorates from universities in 19 countries spanning 6 continents. His research has influenced not only statistics, but also the physical, social and natural sciences and engineering. In 2011 he was recipient of the Royal Statistical Society's Guy Medal in Gold which is awarded triennially to those "who are judged to have merited a signal mark of distinction by reason of their innovative contributions to the theory or application of statistics". It can be awarded both to fellows (members) of the Society and to non-fellows. Since its inception 120 years ago the Gold Medal has been awarded to 34 distinguished statisticians. The first medal was awarded to Charles Booth in 1892. Only two statisticians, H. Cramer (Norwegian) and J. Neyman (Polish), outside Great Britain were awarded the Gold medal and C. R. Rao is the first non-European and non-American to receive the award. Other awards he has received are the Gold Medal of Calcutta University, Wilks Medal of the American Statistical Association, Wilks Army Medal, Guy Medal in Silver of the Royal Statistical Society (UK), Megnadh Saha Medal and Srinivasa Ramanujan Medal of the Indian National Science Academy, J.C.Bose Gold Medal of Bose Institute and Mahalanobis Centenary Gold Medal of the Indian Science Congress, the Bhatnagar award of the Council of Scientific and Industrial Research, India and the Government of India honored him with the second highest civilian award, Padma Vibhushan, for “outstanding contributions to Science and Engineering / Statistics”, and also instituted a cash award in honor of C R Rao, “to be given once in two years to a young statistician for work done during the preceding 3 years in any field of statistics”. For his outstanding achievements Rao has been honored with the establishment of an institute named after him, C.R.Rao Advanced Institute for Mathematics, Statistics and Computer Science, in the campus of the University of Hyderabad, India. C.R. Rao won International Statistics Prize in 2023. He passed away in 2023 two weeks before his 103rd birthday.

Review :
"...Part of a two-volume set (Handbooks 16 and 17) covering most of the important theoretical and applied aspects of order statistics..." --Journal of Economic Literature, 1999 "...this is an extremely helpful contribution...." --Ultramicroscopy, Vol. 80, 2000


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Product Details
  • ISBN-13: 9780444829221
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Elsevier Science Ltd
  • Height: 244 mm
  • Series Title: Volume 17 Handbook of Statistics
  • Weight: 1360 gr
  • ISBN-10: 0444829229
  • Publisher Date: 28 Jul 1998
  • Binding: Hardback
  • Language: English
  • Sub Title: Volume 17
  • Width: 175 mm


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