The Mathematics of the Uncertain:A Tribute to Pedro Gil

The Mathematics of the Uncertain:A Tribute to Pedro Gil（Studies in Systems, Decision and Control）

不确定性的数学：向佩德罗·吉尔致敬
数学史

原价：

￥ 3185

售价：

优惠

平台大促低至8折优惠

发货周期：外国库房发货，通常付款后3-5周到货

作者

Gil

出版社

Springer Berlin Heidelberg

出版时间

2018年03月12日

装帧

精装

ＩＳＢＮ

9783319738475

复制

页码

917

语种

英文

综合评分

暂无评分

图书详情
目次
买家须知
书评（0）
权威书评（0）

图书简介

This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including Mathematics of chance (Probability and Statistics), Mathematics of communication (Information Theory), and Mathematics of imprecision (Fuzzy Sets Theory and others).

These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications.

The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.

The Mathematics of the uncertain.- Using Mathematica to calculate shortest con?dence intervals.- An optimal transportation approach for assessing almost stochastic order.- An alternative to the variation coef?cient.- Nonparametric mean estimation for big-but-biased data.- Band depths based on multiple time instances.- On the combination of depth-based ranks.- A Bayesian network model for the probabilistic safety assessment of roads.- The spiking problem in the context of the isotonic regression.- Estimation of the inter-occurrence time between events from incomplete data.- Modelling dynamic hotel pricing with isotonic functions.- On multistage stochastic mixed 0-1 optimization with time-consistent stochastic dominance risk averse management.- Bivariate copula additive models for location, scale and shape with applications in Biomedicine.- Domain mean estimators assisted by nested error regression models.- Robust approaches for fuzzy clusterwise regression based on trimming and constraints.- Robust morphometric analysis based on landmarks.- Smoothing-based tests with directional random variables.- Asymptotic behavior of fractional blending systems.- Multiple hypothesis tests: A Bayesian approach.- ? -Records observations in models with random trend.- Recent developments and advances in joint modelling of longitudinal and survival data.- Long-term survival after abdominal aortic aneurysm repair.- Some comments on stochastic orders and posets.- Optimal experimental design for model selection: A partial review.- A statistical analysis of the treatment of type 2 diabetes in the presence of chronic kidney disease in patients hospitalized for heart failure.- A diagnostic test approach for multitesting problems.- The length-time bias in tourism surveys.- Detecting change-points in the time series of surfaces occupied by pre-de?ned NDVI categories in continental Spain from 1981 to 2015.- Choice functions and rejection sets.- Mathematical modeling in biological populations with reproduction in a non-predictable environment.- Field substitution and sequential sampling method.- Working with (too) few samples.- Estimation of the Owen value based on sampling.- The ? -gradient for testing probability pro?les.- Mixtures of Gaussians as a proxy in hybrid Bayesian networks.- Sublinear expectations: On large sample behaviours, Monte Carlo method, and coherent upper previsions.- A non-iterative estimator for interval sampling and doubly truncated data.

Trade Policy 买家须知