Missing and Modified Data in Nonparametric Estimation

Sam Efromovich

• Introduction. Estimation for Directly Observed Data. Estimation for Basic Models of Modified Data. Nondestructive Missing. Destructive Missing. Survival Analysis. Missing Data in Survival Analysis. Time Series Analysis. Ill-Posed Modifications.

"Both researchers and practitioners would find this book useful, since currently missing data is a hot topic in statistics. The mathematical level of the book is definitely intermediate, a good amount of references is offered or is planned to be offered in notes, and an R-package will accompany the book. I can see a broad market of potential readers. It is quite typical for statistics departments to offer a graduate course on missing data at various depths. The proposed book allows an instructor to combine the discussion of missing data with presenting topics in density estimation, regression and time series analysis. The same argument applies to the survival analysis part. The proposed book treats both the missed and modified data simultaneously and via the same nonparametric methodology of series estimation, which makes it a convenient choice for a one semester graduate course that covers nonparametric estimation, missing data and survival analysis. Moreover, the proposed companion R-package would allow an instructor to show the power of this statistical software without going into R programming too deeply… Just a new good book on missing data in nonparametric estimation, or a new good book on nonparametric analysis of survival data, or a new good book on time series analysis with missing data would be of a great interest. And here we have a book that combines all these topics and it proposes a unique approach for solving all involved problems." ~Lyudmila Sakhanenko, Michigan State University"There is a high demand for a book devoted to nonparametric estimation based on missing and modified data. Furthermore, as it is written, the proposed book can easily be used as a text for an intermediate level graduate course in statistics. Its R-package allows to reproduce all the figures (and there are figures in all sections), and a large number of exercises will make its use in a class much more attractive for an instructor… The book is well wr