Synthesis Lectures on Mathematics & Statistics: Efficient Nonparametric Curve Estimation For Censored Data with R Examples

Efromovich, Sam

This textbook provides a unified account of estimating the survival function, hazard rate, cumulative hazard, density, regression, conditional distributions, and linear functionals for the current status censored and right-censored data. The book contains the theory and methodology of efficient estimation, adaptation, dimension reduction, and confidence bands as well as the universal E-estimator for small samples.  Exercises and a large number of simulated and real-life examples that can be repeated and modified using the complementary R package are also included. This coverage, together with the intuitive style of presentation, is ideal for people entering this field. The context is suitable for self-study or a one-semester course for graduate students with majors ranging from biostatistics and data analytics to econometrics and actuarial science.

Details

Published by: Springer

Publication Date: 2025-05-01

Format: Hardcover

ISBN-13: 9783031828133

DOI: 10.1007/978-3-031-82814-0

Dimensions: 240cm x168cm

Pages: 233