Chapter 1. On the First-Passage Area of a One-Dimensional Diffusion Process with Stochastic Resetting 1Mario ABUNDO 1.1. Formulation of the problem and general results 1 1.2. Brownian motion with resetting 5 1.3. Drifted Brownian motion with resetting 15 1.4. References 17 Chapter 2. Statistical Analysis of Groundwater Level in Slovakia 19Dominika SONAK BALLOVA, Jana KALICKA and Michaela CERVENANSKA 2.1. Introduction 19 2.2. Data and methods 20 2.3. Results 25 2.4. Conclusion 27 2.5. Acknowledgment 28 2.6. References 28 Chapter 3. Stochastic Processes Associated with Fully Nonlinear Parabolic Equations Arising in Financial Mathematics 29Yana BELOPOLSKAYA and Andrey CHUBATOV 3.1. Semilinear and fully nonlinear PDEs 29 3.2. BSDE, FBSDE and deep learning algorithms 34 3.3. Acknowledgments 42 3.4. References 42 Chapter 4. An Improved Shape Parameter Estimation Method for the Pareto Model 45Frederico CAEIRO and Ayana MATEUS 4.1. Introduction 45 4.2. Estimators under study 47 4.3. An algorithm for selection of the control parameter of the LGPWM shape parameter estimator 50 4.4. Numerical results 51 4.5. Conclusion 54 4.6. Acknowledgments 55 4.7. References 55 Chapter 5. BSDE-θ Scheme for the Heston Model: Valuation of American Options 57Marko DIMITROV, Abigail BERTA, Achref BACHOUCH, Christian EWALD and Ying NI 5.1. Background 57 5.2. BSDE numerical schemes 59 5.3. Numerical experimental studies: valuation of American options 68 5.4. Conclusion and future work. 72 5.5. References 72 Chapter 6. Age-replacement Policy for Series Systems Under Parameter Uncertainty in Lifetime Distribution 75Kentaro FUJIOKA, Ying NI and Lu JIN 6.1. Introduction 75 6.2.The model 78 6.3. Optimization 81 6.4. Numerical example 86 6.5. Conclusion 89 6.6. References 90 Chapter 7. New Bicluster Algorithm for Trading 93Gloria GHENO 7.1. Introduction 93 7.2. Fuzzy logic and trading rules 98 7.3. Sentiment analysis, trading indicators and fuzzy rules 104 7.4. Conclusion 106 7.5. References 107 Chapter 8. A Flexible Generalization of the Latent Dirichlet Allocation 109Alice GIAMPINO, Roberto ASCARI and Sonia MIGLIORATI 8.1. Introduction 109 8.2. Distributions on the simplex 111 8.3. Latent topic models 113 8.4. Collapsed Gibbs sampling 114 8.5. Simulation study 117 8.6. References 122 Chapter 9. Extreme Value Parameters Estimation: An Overview 123Dora Prata GOMES and M. Manuela NEVES 9.1. Introduction and overview of extreme value theory 123 9.2. Some parameters of interest in EVT 126 9.3. EVI and EI estimation 127 9.4. Extreme quantile estimation 130 9.5. Application to the daily mean flow discharge in river Tejo 132 9.6. Conclusion and work in progress 135 9.7. Acknowledgments 135 9.8. References 135 Chapter 10. Some Properties on Optimal Maintenance Policies for k-out-of-n:G Systems Considering Imperfect Repair with Controllable Repair Levels 139Sota IKENOYA and Lu JIN 10.1. Introduction 139 10.2. System description 141 10.2.1. Deterioration state 141 10.2.2. Maintenance actions 142 10.3. Total expected discounted cost 142 10.4. Optimization of maintenance policy 144 10.5. Numerical studies 149 10.6. Conclusion 154 10.7. References 155 Chapter 11. Stochastic Orders and Reliability Properties for the Deficit at Ruin and Bounds for the Laplace Transform of a Compound Geometric Distribution 157Lazaros KANELLOPOULOS and Konstantinos POLITIS 11.1. Introduction 157 11.2. Model description and results 159 11.3. Bounds for the LT of the maximal aggregate loss 162 11.4. Examples 163 11.5. References 165 Chapter 12. A New Family of Continuous Univariate Distributions with Applications in Actuarial Science 167Markos V. KOUTRAS and Spiros D. DAFNIS 12.1. Introduction 167 12.2. Definitions and notations 169 12.3. Probability bounds 173 12.4. Aging properties and unimodality 176 12.5. Tail behavior of Dg+(h) 180 12.6. Conclusion 181 12.7. Acknowledgment 181 12.8. References 181 Chapter 13. Simple Form of Probability Density Functions via Sampling 183Maria LEDAKI and Myrto PAPAGEORGIOU 13.1. Introduction 183 13.2. The sense and the method 184 13.3. Using sampling data 187 13.4. Results and discussion 191 13.5. References 192 Chapter 14. Optimizing Financial Trading Strategies Using Dynamic Bayesian Networks 193Karl LEWIS, Mark Anthony CARUANA and David Paul SUDA 14.1. Introduction 193 14.2. Theoretical framework 194arameters 201 14.3. Methodology of analysis and results 203 14.4. Conclusion 206 14.5. References 207 Chapter 15. Quantitative Methods for Analysing the Risk and Timing of Bankruptcy of Small and Medium Enterprises 209Francesca PIERRI and Chrys CARONI 15.1.Introduction 209 15.2. Approaches to statistical modeling 210 15.3. Imbalanced data 211 15.4. Competing risks 214 15.5. Conclusion 218 15.6. References 219 Chapter 16. Network of Adaptive Frequency Oscillators in a Ballistic, Non-Gaussian, Noisy Environment 223Julio RODRIGUEZ 16.1. Introduction 223 16.2. Dynamics of the network 224 16.3. Analyzing the dynamics 226 16.4. Numerical simulations 231 16.5. Discussion and perspectives 233 16.6. Appendices 234 16.7. References 249 Chapter 17. Penalised Regression Adaptations of the Longstaff-Schwartz Algorithm for Pricing American Options 251David Paul SUDA, Monique BORG INGUANEZ and Lara CILIA 17.1. Introduction 252 17.2. The Longstaff-Schwartz algorithm and proposed extensions 253 17.3. Stochastic processes in finance and relevant theoretical considerations 255 17.4. Simulation design 257 17.5. Results 259 17.6. Conclusion 263 17.7. References 264 Chapter 18. International Auditing Standards and Their Contribution to the Limitation of Accounting Fraud 267Efthalia TABOURATZI and Leonidas FANOURAKIS 18.1. Introduction 267 18.2. Literature review 269 18.3. Empirical analysis 277 18.4. Conclusion 292 18.5. References 292 Chapter 19. Equivariant Robust Estimators for Moment Condition Models 295Aida TOMA, Amor KEZIOU, Luiza BADIN and Silvia DEDU 19.1. Introduction 295 19.2. Robust estimators for moment condition models 297 19.3. Equivariance of robust minimum empirical divergence estimators 301 19.4. Acknowledgments 305 19.5. References 305 Chapter 20. Continuous Increasing Probability Density Functions: An Approach Through Sampling 309Maria TSIFOUTIDOU and Nikolaos FARMAKIS 20.1. Introduction 309 20.2. Theoretical approach 310 20.3. Examples for illustration 312 20.4. Results and discussion 315 20.5. References 315 Chapter 21. The Importance of the Initial Selection of Suppliers in the Food Service Divisions of Hotels, the Current Situation in the Supply Chain of Greece 317Konstantinos VASILAKAKIS, Efthalia TABOURATZI and Despoina SDRALI 21.1. Introduction 317 21.2. Literature review 319 21.3. Benefits of supply chain management 320 21.4. Research methodology 321 21.5. Data analysis 322 21.6. Discussion. 331 21.7. Conclusion 332 21.8. References 332 Chapter 22. Compliance with IUU Fisheries of Manila Clams in the Tagus Estuary 337Margarida XAVIER, Ana LORGA DA SILVA and Paula CHAINHO 22.1. Introduction 338 22.2. Research methodology 341 22.3. Analysis and interpretation of results 343 22.4. Conclusion 350 22.5. Acknowledgments 351 22.6. References 351 Chapter 23. The Expectation of a Mixed Moving Average Process Subject to Ambiguous Lévy Basis 355Hidekazu YOSHIOKA and Yumi YOSHIOKA 23.1. Introduction 355 23.2. supOU process 356 23.3. Optimization problems 358 23.4. Application 363 23.5. Conclusion 367 23.6. Acknowledgments 368 23.7. References 368 List of Authors 371 Index 377