Description
Book SynopsisThis 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.
Table of ContentsPreface; Some Notes for a Better Understanding of Probabilities; Optimization with Restrictions Using Approximated Models Case: Paper Helicopter; Stochastic Evaluation of Six Water Heating Systems for Buildings; Probabilistic Analysis of a System Having One Working Unit and Protective Unit Subject to Two Types of Repair; Estimation of the Probability of Non Response in Sampling Surveys Using Kernel Density Estimation Methods; Representation of Extended Preference Orderings by Stochastic Choice Functions; Some Issues on the Probability Behavior of Order Statistics; Highlighting Probability Issues in Simulated Annealing and Tabu Search; Using Heteroscedasticity-Based Instruments to Evaluate the Relationship between Economic Growth and Economic Complexity; Index.
