โ Scribed by Barry C. Arnold (auth.), Roberto Minguez, Jose-Maria Sarabia, N. Balakrishnan, Barry C. Arnold (eds.)
No coin nor oath required. For personal study only.
Enrique Castillo is a leading figure in several mathematical, statistical, and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory, Bayesian networks, neural networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications. Organized to honor Castillo's significant contributions, this volume is an outgrowth of the International Conference on Mathematical and Statistical Modeling and covers recent advances in the field. Also presented are applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques.
The book is divided into nine major sections:
* Distribution Theory and Applications
* Probability and Statistics
* Order Statistics and Analysis
* Engineering Modeling
* Extreme Value Theory
* Business and Economics Applications
* Statistical Methods
* Applied Mathematics
* Discrete Distributions
This comprehensive reference work will appeal to a diverse audience from the statistical, applied mathematics, engineering, and economics communities. Practitioners, researchers, and graduate students in mathematical and statistical modeling, optimization, and computing will benefit from this work.
Front Matter....Pages 1-30
Front Matter....Pages 1-1
Enrique Castilloโs Contributions to Conditional Specification....Pages 3-19
The Polygonal Distribution....Pages 21-33
Conditionally Specified Models: New Developments and Applications....Pages 35-43
Modelling of Insurance Claim Count with Hurdle Distribution for Panel Data....Pages 45-59
Distance Based Association and Multi-Sample Tests for General Multivariate Data....Pages 61-71
Front Matter....Pages 1-1
Empirical Bayes Assessment of the Hyperparameters in Bayesian....Pages 75-85
Front Matter....Pages 1-1
Negative Mixtures Order Statistics and Systems....Pages 89-100
Models of Ordered Data and Products of Beta Random Variables....Pages 101-106
Exact Inference and Optimal Censoring Scheme for a Simple Step-Stress Model Under Progressive Type-II Censorig....Pages 107-137
Front Matter....Pages 1-1
Non Gaussian State Estimation in Power Systems....Pages 141-156
Statistics Applied to Wave Climate on a Beach Profile....Pages 157-168
Front Matter....Pages 1-1
On Some Dependence Measures for Multivariate Extreme Value Distributions....Pages 171-180
Ratio of Maximum to the Sum for Testing Super Heavy Tails....Pages 181-194
Tail Behaviour An Empirical Study....Pages 195-207
An Example of RealโLife Data Where the Hill Estimator is Correct....Pages 209-216
Front Matter....Pages 1-1
Deriving Credibility Premiums Under Different Bayesian Methodology....Pages 219-229
The Influence of Transport Links on Disaggregation and Regionalization Methods in Interregional Input-Output Models Between Metropolitan and Remote Areas....Pages 231-241
Front Matter....Pages 1-1
Jackknife Bias Correction of a Clock Offset Estimator....Pages 245-254
Pretesting in Polytomous Logistic Regression Models Based on Phi-divergence Measures....Pages 255-265
A Unified Approach to Model Selection, Discrimination, Goodness of Fit and Outliers in Time Series....Pages 267-278
Front Matter....Pages 1-1
Generalized Linear Models Diagnostics for Binary Data using Divergence Measures....Pages 279-289
Front Matter....Pages 1-1
Some Problems in Geometric Processing of Surfaces....Pages 293-304
Generalized Inverse Computation Based on an Orthogonal Decomposition Methodology....Pages 305-315
Forecasting Nonlinear Systems with Neural Networks via Anticipated Synchronization....Pages 317-329
Front Matter....Pages 331-340
The Discrete Half-Normal Distribution....Pages 341-349
Parameter Estimation for Certain q-Hypergeometric Distributions....Pages 1-1
Back Matter....Pages 353-360
....Pages 361-365
Optimization; Computational Science and Engineering; Mathematical Modeling and Industrial Mathematics; Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences; Statistics for Business/Economics/Mathematical Fina
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