Contributions to Statistical Estimation in Non-regular Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contributions to Statistical Estimation in Non-regular Models write by Alireza Arasteh. This book was released on 1989. Contributions to Statistical Estimation in Non-regular Models available in PDF, EPUB and Kindle.
Statistical Estimation
Statistical Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Estimation write by I.A. Ibragimov. This book was released on 2013-11-11. Statistical Estimation available in PDF, EPUB and Kindle. when certain parameters in the problem tend to limiting values (for example, when the sample size increases indefinitely, the intensity of the noise ap proaches zero, etc.) To address the problem of asymptotically optimal estimators consider the following important case. Let X 1, X 2, ... , X n be independent observations with the joint probability density !(x,O) (with respect to the Lebesgue measure on the real line) which depends on the unknown patameter o e 9 c R1. It is required to derive the best (asymptotically) estimator 0:( X b ... , X n) of the parameter O. The first question which arises in connection with this problem is how to compare different estimators or, equivalently, how to assess their quality, in terms of the mean square deviation from the parameter or perhaps in some other way. The presently accepted approach to this problem, resulting from A. Wald's contributions, is as follows: introduce a nonnegative function w(0l> ( ), Ob Oe 9 (the loss function) and given two estimators Of and O! n 2 2 the estimator for which the expected loss (risk) Eown(Oj, 0), j = 1 or 2, is smallest is called the better with respect to Wn at point 0 (here EoO is the expectation evaluated under the assumption that the true value of the parameter is 0). Obviously, such a method of comparison is not without its defects.
The Work of Raymond J. Carroll
The Work of Raymond J. Carroll - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Work of Raymond J. Carroll write by Marie Davidian. This book was released on 2014-06-06. The Work of Raymond J. Carroll available in PDF, EPUB and Kindle. This volume contains Raymond J. Carroll's research and commentary on its impact by leading statisticians. Each of the seven main parts focuses on a key research area: Measurement Error, Transformation and Weighting, Epidemiology, Nonparametric and Semiparametric Regression for Independent Data, Nonparametric and Semiparametric Regression for Dependent Data, Robustness, and other work. The seven subject areas reviewed in this book were chosen by Ray himself, as were the articles representing each area. The commentaries not only review Ray’s work, but are also filled with history and anecdotes. Raymond J. Carroll’s impact on statistics and numerous other fields of science is far-reaching. His vast catalog of work spans from fundamental contributions to statistical theory to innovative methodological development and new insights in disciplinary science. From the outset of his career, rather than taking the “safe” route of pursuing incremental advances, Ray has focused on tackling the most important challenges. In doing so, it is fair to say that he has defined a host of statistics areas, including weighting and transformation in regression, measurement error modeling, quantitative methods for nutritional epidemiology and non- and semiparametric regression.
Statistical Models and Methods for Reliability and Survival Analysis
Statistical Models and Methods for Reliability and Survival Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Models and Methods for Reliability and Survival Analysis write by Vincent Couallier. This book was released on 2013-12-11. Statistical Models and Methods for Reliability and Survival Analysis available in PDF, EPUB and Kindle. Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in methods used in survival analysis, statistical goodness of fit, stochastic processes for system reliability, amongst others. Many of these are related to the work of Professor M. Nikulin in statistics over the past 30 years. The authors gather together various contributions with a broad array of techniques and results, divided into three parts - Statistical Models and Methods, Statistical Models and Methods in Survival Analysis, and Reliability and Maintenance. The book is intended for researchers interested in statistical methodology and models useful in survival analysis, system reliability and statistical testing for censored and non-censored data.
Missing Data and Small-Area Estimation
Missing Data and Small-Area Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Missing Data and Small-Area Estimation write by Nicholas T. Longford. This book was released on 2005-08-05. Missing Data and Small-Area Estimation available in PDF, EPUB and Kindle. This book evolved from lectures, courses and workshops on missing data and small-area estimation that I presented during my tenure as the ?rst C- pion Fellow (2000–2002). For the Fellowship I proposed these two topics as areas in which the academic statistics could contribute to the development of government statistics, in exchange for access to the operational details and background that would inform the direction and sharpen the focus of a- demic research. After a few years of involvement, I have come to realise that the separation of ‘academic’ and ‘industrial’ statistics is not well suited to either party, and their integration is the key to progress in both branches. Most of the work on this monograph was done while I was a visiting l- turer at Massey University, Palmerston North, New Zealand. The hospitality and stimulating academic environment of their Institute of Information S- ence and Technology is gratefully acknowledged. I could not name all those who commented on my lecture notes and on the presentations themselves; apart from them, I want to thank the organisers and silent attendees of all the events, and, with a modicum of reluctance, the ‘grey ?gures’ who kept inquiring whether I was any nearer the completion of whatever stage I had been foolish enough to attach a date.
