Preface; Contents; Analysis of Irregularly Sampled Time Series: Techniques, Algorithms and Case Studies; 1 Small Crack Fatigue Growth and Detection Modeling with Uncertainty and Acoustic Emission Application; Abstract; 1 Introduction; 2 Structure of Models and Likelihood; 2.1 Crack Propagation Models; 2.2 Crack Detection Models; 2.3 Likelihood Function for Bayesian Analysis; 3 Data Preprocessing; 3.1 Crack Length Definitions and Correction; 3.2 Probability of Detection Definitions; 4 Application Example; 4.1 Fatigue Life Test Description; 4.2 Kernel Definition; 4.3 Measurement Error Analysis

4.4 Bayesian Analysis5 Conclusions; References; 2 Acanthuridae and Scarinae: Drivers of the Resilience of a Polynesian Coral Reef; Abstract; 1 Introduction; 2 Materials and Methods; 2.1 Study System; 2.2 Data Sampling; 2.3 Data Analysis; 3 Results; 3.1 Substrate Cover and Species Abundance; 3.2 Community Structure Variations; 3.3 Relationship Between Abundance of Acanthuridae and Scarinae and Macroalgae and Turf Cover; 4 Discussion; 4.1 Herbivory and Resilience; 4.2 Comparison with Shifting Systems; 4.3 Species Richness Increase; 4.4 Changes in Community Composition

4.5 Implication of Different Herbivores5 Conclusion; References; 3 Using Time Series Analysis for Estimating the Time Stamp of a Text; Abstract; 1 Introduction; 2 Background and Related Work; 2.1 Language Modeling; 2.2 Google Books N-Gram Corpus; 2.3 Related Work; 3 Implementation Details; 3.1 Application's Design; 3.2 Building Words Time Series; 3.3 Words' Fingerprint; 3.4 Combining the Time Intervals; 3.5 Optimization; 4 Case Study and Results; 5 Conclusions and Further Work; Acknowledgements; References; 4 Using LDA and Time Series Analysis for Timestamping Documents; Abstract

1 Introduction2 Related Work; 3 Experiment Outline; 3.1 Corpus Description; 3.2 Dataset Preprocessing; 3.3 Training the Topic Model Using LDA; 3.4 Retrieving of Year Wise Frequency for Keywords; 3.5 Determining the Document Timestamp and Plotting the Result; 4 Results Interpretation; 5 Conclusions and Future Work; Acknowledgements; References; Multi-scale Analysis of Univariate and Multivariate Time Series; Fractal Complexity of the Spanish Index IBEX 35; 1 Introduction; 2 Fractal Complexity; 2.1 Fractal Noise; 2.2 Fractional Brownian Motion; 2.3 Statistical Tests; 2.4 Linear Correlations

2.5 Conclusions3 ARCH Model; References; Fractional Brownian Motion in OHLC Crude Oil Prices; 1 Introduction; 2 Fractional Brownian Motion; 2.1 R/S Analysis for Estimation of the Hurst Exponent ; 3 Data and Empirical Results; 4 Conclusion; References; Time-Frequency Representations as Phase Space Reconstruction in Symbolic Recurrence Structure Analysis; 1 Introduction; 2 Analysis Methods and Data; 2.1 Symbolic Recurrence Structure Analysis; 2.2 Phase Space Reconstruction; 2.3 Complexity Measure; 2.4 Synthetic Data; 2.5 Experimental Data; 3 Results; 3.1 Synthetic Data; 3.2 EEG Data