Understanding Probability Models


Carlos Narciso Bouza-Herrera (Editor)
Facultad de Matemática y Computación. Universidad de La Habana, San Lázaro y L. Vedado. La Habana, Cuba

Series: Theoretical and Applied Mathematics
BISAC: MAT029000

This book intends to highlight how the Theory of Probability supports, not only statistical modeling but how it allows describing different real life phenomena. It gives clues for understanding the philosophic roots of probability and how they are present in different areas of knowledge.

The readers may use the book as a source for understanding the philosophical development of probability concepts and of the intents to obtain mathematical models. The chapters deal with the understanding of how probability models are usable for determining:
• A Probabilistic model of the best flight value for the design on paper of a helicopter
• How to model the improvement of the behavior of water heating systems and of the reliability of systems
• Models for determining the probability of non responses in inquiries and to evaluate the missing data.
• The modeling of various problems related with the behavior of ordering models of use in decision rules and of general properties of Order Statistics.
• A unified study of the probabilistic aspects of two Metaheuristics: Simulated Annealing and Tabu Search.
• How to obtain the identification of econometric techniques for dealing efficiently with the study of economic growth models under endogeneity.

This book will be of interest for biometricians, statisticians, economists, engineers dealing with control and reliability, as well for informaticians.
(Imprint: Nova)



Table of Contents


Chapter 1. Some Notes for a Better Understanding of Probabilities
(Carlos N. Bouza-Herrera, Mathematics and Computation Faculty, University of Havana, Cuba)

Chapter 2. Optimization with Restrictions Using Approximated Models’ Case: Paper Helicopter
(Obeth Romero, Engineering School, University Corporation of Meta, Colombia)

Chapter 3. Stochastic Evaluation of Six Water Heating Systems for Buildings
(Rilton Gonçalo Bonfim Primo, José Félix García Rodríguez, Daiane Maria Pires e Silva and Ricardo de Araújo Kalid, Post-Graduate Program in Industrial Engineering, Federal University of Bahia, Brazil)

Chapter 4. Probabilistic Analysis of a System Having One Working Unit and Protective Unit Subject to Two Types of Repair
(Kanti Sahu and Vishal Mehta, Late Shri Lakhiram Agrwal Memorial Government Medical College Raigarh, India, and others)

Chapter 5. Estimation of the Probability of Non Response in Sampling Surveys Using Kernel Density Estimation Methods
(Carlos N. Bouza-Herrera and Poonam Singh, Facultad de Matemática y Computación, Universidad de La Habana, Cuba, and others)

Chapter 6. Representation of Extended Preference Orderings by Stochastic Choice Functions
(Somdeb Lahiri, School of Petroleum Management Faculty, PanditDeendayal Petroleum University, India)

Chapter 7. Some Issues on the Probability Behavior of Order Statistics
(Carlos N. Bouza-Herrera, Agustin Santiago-Moreno and José M. Sautto-Vallejo, Universidad de La Habana, Cuba, and others)

Chapter 8. Highlighting Probability Issues in Simulated Annealing and Tabu Search
(Carlos N. Bouza-Herrera and Sira Allende-Alonso, Mathematics and Computation Faculty, University of Havana, Cuba)

Chapter 9. Using Heteroscedasticity-Based Instruments to Evaluate the Relationship between Economic Growth and Economic Complexity
(Henry Laverde-Rojas and Paula Robayo-Acuña, Escuela de Negocios, Fundación Universitaria Konrad Lorenz, Colombia, and others)


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