The Mathematics of the Uncertain : A Tribute to Pedro Gil / edited by Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil.

Format:

Book

Contributor:

Gil, Eduardo., Editor.

Gil, Eva., Editor.

Gil, Juan., Editor.

Gil, María Ángeles., Editor.

Series:

Studies in Systems, Decision and Control, 2198-4182 ; 142

Language:

English

Subjects (All):

Computational intelligence.

Artificial intelligence.

System theory.

Operations research.

Decision making.

Computational Intelligence.

Artificial Intelligence.

Systems Theory, Control.

Operations Research/Decision Theory.

Local Subjects:

Computational Intelligence.

Artificial Intelligence.

Systems Theory, Control.

Operations Research/Decision Theory.

Physical Description:

1 online resource (897 pages)

Edition:

1st ed. 2018.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2018.

System Details:

Mode of access: World Wide Web.

Summary:

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.

Contents:

The Mathematics of the uncertain

Using Mathematica to calculate shortest confidence intervals

An optimal transportation approach for assessing almost stochastic order

An alternative to the variation coefficient

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

δ -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-defined 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 β -gradient for testing probability profiles

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.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-73848-8