Tropical pinnipeds : bio-ecology, threats, and conservation

Content: SECTION I: PRELIMINARIES        Introduction    Purpose    Sliding Window Detectors    Range-Time Intensity Example    Historical Development    Mathematical Formulation    Detectors in Exponentially Distributed Clutter    Some Fundamental Concepts    Structure of the Book        Probability and Distribution Theory for Radar Detection    Outline    Fundamentals of Probability    Transformations    Moments    Inequalities    Jointly Distributed Random Variables    Conditional Distributions    Some Special Functions of Random Variables    Order Statistics    Uniform Distributions and Simulation    Properties of Estimators    Spherically Invariant Random Processes        Distributions for X-Band Maritime Surveillance Radar Clutter    Introduction    Early Models for Clutter    The Weibull Distribution    K-Distribution    The Pareto Class of Distributions    Pareto Type Distributions    Properties of the Pareto Distribution    Parameter Estimation    Pareto Model Adopted for Detector Development        SECTION II: FUNDAMENTAL DETECTION PROCESSES        Adaptation of Exponential Detectors to Pareto Type I Distributed Clutter    Introduction    General Considerations    The Order Statistic Detector    The Cell-Averaging Detector    The Geometric Mean Detector    Performance in Homogeneous Clutter    Effect of Interfering Targets    Clutter Transitions    Conclusions        A Transformation Approach for Radar Detector Design    Introduction    The Transformation Approach    Examples of Detector Performance    Preservation of the CFAR Property    Lomax-Distributed Clutter and Detector Performance    Modification of the General Transformed Detector    Specialisation to the Pareto Clutter Case    Performance of the New CFAR Processes        Modified Minimum Order Statistic Detector    Introduction    Transformed Order Statistic Detectors    Detector Comparison    Mathematical Analysis of Detectors    Selection of Parameter M    Performance in Homogeneous Clutter    Examples of Management of Interference    False Alarm Regulation    Conclusions        Dual Order Statistic CFAR Detectors    Introduction    Motivation and Definition of Detection Process    Specialisation to the Pareto Type I Case    Performance in Homogeneous Clutter    Management of Interfering Targets    False Alarm Regulation    Conclusions        On Goldstein\'s Log-t Detector    Introduction    The Log-t Detector    An Order Statistic Based Log-t Detector    Performance in Homogeneous Clutter    Interference    False Alarm Regulation    Conclusions        SECTION III: SPECIALISED DEVELOPMENTS        Switching Based Detectors    Introduction    Development of a Switching Detector    Generalisation of the Switching Detector    Switching CFAR Detector    Performance of the SW-CFAR Detector    Conclusions        Developments in Binary Integration    Introduction    Binary Integration    Mathematical Analysis of Binary Integration    Binary Integration Parameter S    Performance in Homogeneous Clutter    Performance with Interference    Clutter Transitions    Conclusions        Detection in Range Correlated Clutter    Introduction    Decision Rule in Correlated Clutter    Mardia\'s Multivariate Pareto Model    Order Statistic Decision Rule Thresholds    Performance Analysis    Analysis of the Minimum-Based Detector    Achieving CFAR in Correlated Pareto Distributed Clutter    Conclusions        SECTION IV: FURTHER CONCEPTS        Invariance and the CFAR Property    Introduction    Group Theory Basics    The Invariance Property    Some Invariant Statistics    Examples of Invariant CFAR Detectors    Performance of Invariant Detectors    Conclusions        Convergence and Approximation of the Pareto Model    Introduction    Problem Specification    Information Theory    Kullback-Leibler Divergence    Conclusions        Appendices    References    Index