The Mathematics of the Uncertain: A Tribute to Pedro Gil

Front Matter ....Pages i-xxv
Front Matter ....Pages 1-1
 The Mathematics of the Uncertain  (Pedro Gil)....Pages 3-19
Front Matter ....Pages 21-21
 Using Mathematica to Calculate Shortest Confidence Intervals  (Ramón Ardanuy)....Pages 23-32
 An Optimal Transportation Approach for Assessing Almost Stochastic Order  (Eustasio del Barrio, Juan A. Cuesta-Albertos, Carlos Matrán)....Pages 33-44
 An Alternative to the Variation Coefficient  (Carlo Bertoluzza, Rosa Casals, Gloria Naval, Antonia Salas)....Pages 45-54
 Nonparametric Mean Estimation for Big-But-Biased Data  (Ricardo Cao, Laura Borrajo)....Pages 55-65
 Band Depths Based on Multiple Time Instances  (Ignacio Cascos, Ilya Molchanov)....Pages 67-78
 On the Combination of Depth-Based Ranks  (Ignacio Cascos, Ignacio Montes)....Pages 79-88
 A Bayesian Network Model for the Probabilistic Safety Assessment of Roads  (Enrique Castillo, Zacarías Grande, Elena Mora)....Pages 89-100
 The Spiking Problem in the Context of the Isotonic Regression  (Ana Colubi, J. Santos Domínguez-Menchero, Gil González-Rodríguez)....Pages 101-108
 Estimation of the Inter-occurrence Time Between Events from Incomplete Data. Analysis of Periods of Unemployment in Spain  (José Antonio Cristóbal, José Tomás Alcalá, Pilar Olave)....Pages 109-119
 Modelling Dynamic Hotel Pricing with Isotonic Functions  (J. Santos Domínguez-Menchero, Emilio Torres-Manzanera)....Pages 121-126
 On Multistage Stochastic Mixed 0–1 Optimization with Time-Consistent Stochastic Dominance Risk Averse Management  (Laureano F. Escudero, Juan F. Monge)....Pages 127-134
 Bivariate Copula Additive Models for Location, Scale and Shape with Applications in Biomedicine  (Jenifer Espasandín-Domínguez, Carmen Carollo-Limeres, Luis Coladas-Uría, Carmen Cadarso-Suárez, Oscar Lado-Baleato, Francisco Gude)....Pages 135-146
 Domain Mean Estimators Assisted by Nested Error Regression Models  (María Dolores Esteban, Domingo Morales, María del Mar Rueda)....Pages 147-154
 Robust Approaches for Fuzzy Clusterwise Regression Based on Trimming and Constraints  (Luis Angel García-Escudero, Alfonso Gordaliza, Francesca Greselin, Agustín Mayo-Iscar)....Pages 155-164
 Robust Morphometric Analysis Based on Landmarks  (Alfonso García-Pérez)....Pages 165-174
 Smoothing-Based Tests with Directional Random Variables  (Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González-Manteiga)....Pages 175-184
 Asymptotic Behavior of Fractional Blending Systems  (F. Javier Girón, M. Lina Martínez)....Pages 185-194
 Multiple Hypothesis Tests: A Bayesian Approach  (Miguel A. Gómez-Villegas, Beatriz González-Pérez)....Pages 195-207
 \\(\\delta \\)-Records Observations in Models with Random Trend  (Raúl Gouet, Miguel Lafuente, F. Javier López, Gerardo Sanz)....Pages 209-217
 Recent Developments and Advances in Joint Modelling of Longitudinal and Survival Data  (Ipek Guler, Christel Faes, Francisco Gude, Carmen Cadarso-Suárez)....Pages 219-229
 Long-Term Survival After Abdominal Aortic Aneurysm Repair  (José Manuel Llaneza, Norberto Corral, Sara Busto, Amer Zanabili, Manuel Alonso)....Pages 231-243
 Some Comments on Stochastic Orders and Posets  (María Concepción López-Díaz, Miguel López-Díaz)....Pages 245-251
 Optimal Experimental Design for Model Selection: A Partial Review  (Jesús López–Fidalgo, Chiara Tommasi)....Pages 253-263
 A Statistical Analysis of the Treatment of Type 2 Diabetes in the Presence of Chronic Kidney Disease in Patients Hospitalized for Heart Failure  (Juan Ignacio López-Gil, María Asunción Lubiano)....Pages 265-272
 A Diagnostic Test Approach for Multitesting Problems  (Pablo Martínez-Camblor, Sonia Pérez-Fernández, Norberto Corral)....Pages 273-284
 The Length-Time Bias in Tourism Surveys  (José Manuel Menéndez-Estébanez, José Manuel González-Sariego)....Pages 285-294
 Detecting Change-Points in the Time Series of Surfaces Occupied by Pre-defined NDVI Categories in Continental Spain from 1981 to 2015  (Ana F. Militino, M. Dolores Ugarte, Unai Pérez-Goya)....Pages 295-307
 Choice Functions and Rejection Sets  (Enrique Miranda, Arthur Van Camp, Gert de Cooman)....Pages 309-318
 Mathematical Modeling in Biological Populations with Reproduction in a Non-predictable Environment  (Manuel Molina, Manuel Mota, Alfonso Ramos)....Pages 319-328
 Field Substitution and Sequential Sampling Method  (M. Macarena Muñoz-Conde, Joaquín Muñoz-García, Antonio Pascual-Acosta, Rafael Pino-Mejías)....Pages 329-336
 Working with (too) Few Samples  (Angela L. Riffo-Campos, Francisco Montes, Guillermo Ayala)....Pages 337-346
 Estimation of the Owen Value Based on Sampling  (Alejandro Saavedra-Nieves, Ignacio García-Jurado, M. Gloria Fiestras-Janeiro)....Pages 347-356
 The \\(\\beta \\)-Gradient for Testing Probability Profiles  (Miquel Salicrú, Juan José Barreiro, María Isabel González-Framil)....Pages 357-365
 Mixtures of Gaussians as a Proxy in Hybrid Bayesian Networks  (Antonio Salmerón, Fernando Reche)....Pages 367-374
 Sublinear Expectations: On Large Sample Behaviours, Monte Carlo Method, and Coherent Upper Previsions  (Pedro Terán)....Pages 375-385
 A Non-iterative Estimator for Interval Sampling and Doubly Truncated Data  (Jacobo de Uña-Álvarez)....Pages 387-400
 The Mathematics of the Uncertain: Factors Related to Survival of Spanish Firms Along Recent Crisis  (Antonio Vaamonde-Liste, Manuel Meijide-Vecino, Patricio Sánchez-Bello, Pilar Muñoz-Dueñas)....Pages 401-409
 A Functional Stochastic Model for the Evolution of Spanish Stock Market  (Mariano J. Valderrama, Manuel Escabias, Federico Galán, Antonio Gil)....Pages 411-419
 Limit Behavior of Polya Urn Schemes  (Ricardo Vélez, Tomás Prieto-Rumeau)....Pages 421-429
 A Simple Step-Stress Model for Coherent Systems and Associated Inference Based on System Signatures  (Xiaojun Zhu, Debanjan Mitra, Narayanaswamy Balakrishnan)....Pages 431-449
Front Matter ....Pages 451-451
 Asymptotic Developments for the \\(\\phi \\)-Inequality Indices  (María Carmen Alonso, Ignacio Martínez)....Pages 453-463
 A Logistic Regression Analysis Approach for Sample Survey Data Based on Phi-Divergence Measures  (Elena Castilla, Nirian Martín, Leandro Pardo)....Pages 465-474
 Some Multivariate Measures Based on Distances and Their Entropy Versions  (Carles M. Cuadras, Sonia Salvo-Garrido)....Pages 475-484
 Cryptographic Uncertainness: Some Experiments on Finite Semifield Based Substitution Boxes  (Ignacio F. Rúa, Elías F. Combarro)....Pages 485-492
 The Roll of Dices in Cryptology  (María Isabel González Vasco, Santos González, Consuelo Martínez, Adriana Suárez Corona)....Pages 493-504
 Tools for Detecting Leverage and Influential Observations in Generalized Linear Models  (María Carmen Pardo)....Pages 505-513
 On Economic Applications of Information Theory  (Rigoberto Pérez, Ana Jesús López, Covadonga Caso, Mercedes Alvargonzález, María Jesús Río)....Pages 515-525
 Concept Uncertainty in Adversarial Statistical Decision Theory  (David Ríos Insua, Jorge González-Ortega, David Banks, Jesús Ríos)....Pages 527-542
 On Some Properties of Beta-Generated Distributions  (Konstantinos Zografos)....Pages 543-552
Front Matter ....Pages 553-553
 Fuzzy Multi-criteria Support for Sustainable and Social Responsible Investments: The Case of Investors with Loss Aversion  (Amelia Bilbao-Terol, Mariano Jiménez-López, Mar Arenas-Parra, M. Victoria Rodríguez-Uría)....Pages 555-564
 Graphical Exploratory Analysis of Fuzzy Data as a Teaching Tool  (Inés Couso, Luis Junco, José Otero, Luciano Sánchez)....Pages 565-574
 Some Results and Applications Using Fuzzy Logic in Artificial Intelligence  (Irene Díaz, Anca L. Ralescu, Dan A. Ralescu, Luis J. Rodríguez-Muñiz)....Pages 575-584
 On Extending Fuzzy Preorders to Sets and Their Corresponding Strict Orders  (Francesc Esteva, Lluís Godo)....Pages 585-594
 Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets  (Manuel José Fernández, Fermín Suárez)....Pages 595-603
 Measuring Dispersion in the Context of Ordered Qualitative Scales  (José Luis García-Lapresta, Luis Borge)....Pages 605-614
 The Kolmogorov–Smirnov Goodness-of-Fit Test for Interval-Valued Data  (Przemysław Grzegorzewski)....Pages 615-627
 On New Frameworks for Decision Making and Optimization  (María Teresa Lamata, José Luis Verdegay)....Pages 629-641
 The Additively Decomposable Fuzzy Shannon Type Inequality Index for Positive Random Fuzzy Numbers  (Hortensia López-García, M. Amparo Gil-Martín)....Pages 643-651
 An Incipient Fuzzy Logic-Based Analysis of the Medical Specialty Influence on the Perception About Mental Patients  (María Asunción Lubiano, Pilar González-Gil, Helena Sánchez-Pastor, Carmen Pradas, Henar Arnillas)....Pages 653-662
 Some Results About the Vertices of k-Additive Dominating Measures  (Pedro Miranda, Michel Grabisch)....Pages 663-674
 Divergence Measures: From Uncertainty to Imprecision  (Susana Montes, Susana Díaz, Davide Martinetti)....Pages 675-684
 Discounting Imprecise Probabilities  (Serafín Moral)....Pages 685-697
 On Some Concepts Related to Star-Shaped Sets  (Ana Belén Ramos-Guajardo, Gil González-Rodríguez, Ana Colubi, Maria Brigida Ferraro, Ángela Blanco-Fernández)....Pages 699-708
 A Case Study-Based Analysis of the Influence of the Fuzzy Data Shape in Quantifying Their Fréchet’s Variance  (Sara de la Rosa de Sáa, Carlos Carleos, María Teresa López, Manuel Montenegro)....Pages 709-719
 A Note on Generalized Convexity for Fuzzy Mappings Through a Linear Ordering  (Antonio Rufián-Lizana, Yurilev Chalco-Cano, Gabriel Ruiz-Garzón, M. Dolores Jiménez-Gamero)....Pages 721-731
 Scale Equivariant Alternative for Fuzzy M-Estimators of Location  (Beatriz Sinova)....Pages 733-743
 Measures and Vagueness  (Alejandro Sobrino)....Pages 745-751
 A Short Reflection on the Word ‘Probable’ in Language  (Enric Trillas, Itziar García-Honrado)....Pages 753-764
 Measuring Uncertainty in the Portfolio Selection Problem  (Enriqueta Vercher, José D. Bermúdez)....Pages 765-775
Front Matter ....Pages 777-777
 Quantities Characterizing Lower Semi-Fredholm Linear Relations  (Teresa Álvarez, Antonio Martínez-Abejón, Javier Pello)....Pages 779-787
 Some Examples of First Exit Times  (Jesús Antonio Álvarez López, Alberto Candel)....Pages 789-801
 Jordan Systems: A Search for the Exceptional  (José A. Anquela, Teresa Cortés)....Pages 803-809
 The Cyclic Universe: From the Cyclical Night to the Latest Cosmological Data  (Francisco Argüeso, Luigi Toffolatti, Concha Masa)....Pages 811-821
 Phasors, Always in the Real World  (Nilo Bobillo-Ares, M. Luisa Garzón)....Pages 823-830
 Indexation Strategies and Calmness Constants for Uncertain Linear Inequality Systems  (M. Josefa Cánovas, René Henrion, Marco A. López, Juan Parra)....Pages 831-843
 The LFM Data Qualification in Convex Multiobjective Semi-infinite Programming  (Miguel Ángel Goberna, Margarita M. L. Rodríguez, Virginia N. Vera de Serio)....Pages 845-854
 Complexity and Dynamical Uncertainty  (Santiago Ibáñez, Antonio Pumariño, José Ángel Rodríguez)....Pages 855-867
 Finite Orthogonal Laurent Polynomials  (Francisco Marcellán, Anbhu Swaminathan)....Pages 869-878
 From Semi-infinite Programming to Efficiency Analysis: Forty Years of Research Experiences  (Jesús T. Pastor)....Pages 879-887
 Coupling of a Mixed-FEM and a Spectral BEM for the Approximation of an Exterior Elliptic Problem  (Javier Valdés, Omar Menéndez, Salim Meddahi, Pablo Pérez)....Pages 889-896
Front Matter ....Pages 897-897
 Pedro Gil, Colleague and Friend: Experiences Shared in the Department of Statistics and Operations Research at the Complutense University of Madrid  (Rafael Infante Macías)....Pages 899-902
 Pedro Gil at the Complutense University  (Julián de la Horra)....Pages 903-904
 Pedro Gil: Teacher, Researcher, Mentor, Leader and Colleague at the University of Oviedo  (Norberto Corral, Manuel Montenegro)....Pages 905-912
 BSc Mathematics at the University of Oviedo. On the Launching and Two First Bachellor’s Programmes in Mathematics  (Benjamín Dugnol, Javier Valdés)....Pages 913-917