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Order statistics --- Statistiques ordonnées --- Statistics, Order --- Nonparametric statistics --- Ranking and selection (Statistics)
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The specialized field of scan statistics, fathered by Joseph Naus around 1999, burgeoned rapidly to prominence in the field of applied probability and statistics. In additional to challenging theoretical probelms, scan statistics has exciting applications in many areas of science and technologyu including archaelogy, astronomy, physics, bioinformatics, and food sciences, just to name a few. In many fields, decision makers give a great deal of weight to clusters of events. Public Health investigators look for common cause factors to explain clusters of, for example, cancer. Molecular biologists look for palindrome clusters in DNA for clues as to the origin of replication viruses. Telecommunication engineers design capacity to accommodate clusters of calls being dialed simultaneously to a switchboard. Quality control experts investigate clusters of defects. The probabilities of different types of clusters under various conditions are tools of the physical, natural, and social sciences. Scan statistics arise naturally in the scanning of time and space, seeking clusters of events. It is therefore no surprise that scan statistics is a major area of research in probability and statistics in the 21st century. In the last 5 years about 1600 hits appear on Google Scholar referencing the extensive activity in scan statistics and the breadth of the application. (Since 2010, about 482 hits are recorded in Google scholar.) The Handbook of Scan Statistics in two volumes is intended for researchers in probability and statistics and scientists in several areas including biology, engineering, health, medical, and social sciences. It will be of great value to graduate students in statistics and in all areas where scan statistics are used.
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The specialized field of scan statistics, fathered by Joseph Naus around 1999, burgeoned rapidly to prominence in the field of applied probability and statistics. In additional to challenging theoretical probelms, scan statistics has exciting applications in many areas of science and technologyu including archaeology, astronomy, physics, bioinformatics, and food sciences, just to name a few. In many fields, decision makers give a great deal of weight to clusters of events. Public Health investigators look for common cause factors to explain clusters of, for example, cancer. Molecular biologists look for palindrome clusters in DNA for clues as to the origin of replication viruses. Telecommunication engineers design capacity to accommodate clusters of calls being dialed simultaneously to a switchboard. Quality control experts investigate clusters of defects. The probabilities of different types of clusters under various conditions are tools of the physical, natural, and social sciences. Scan statistics arise naturally in the scanning of time and space, seeking clusters of events. It is therefore no surprise that scan statistics is a major area of research in probability and statistics in the 21st century. In the last 5 years about 1600 hits appear on Google Scholar referencing the extensive activity in scan statistics and the breadth of the application. (Since 2010, about 482 hits are recorded in Google scholar.) The Handbook of Scan Statistics in two volumes is intended for researchers in probability and statistics and scientists in several areas including biology, engineering, health, medical, and social sciences. It will be of great value to graduate students in statistics and in all areas where scan statistics are used.
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Handbook of Scan Statistics in two volumes is intended for researchers in probability and statistics and scientists in several areas, including biology, engineering, health, medical, and social sciences. It will also be of great value to graduate students.
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Social sciences (general) --- Statistical science --- Biomathematics. Biometry. Biostatistics --- biomathematica --- bio-informatica --- biostatistiek --- sociale wetenschappen --- statistiek --- biometrie --- statistisch onderzoek
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In many statistical applications the scientists have to analyze the occurrence of observed clusters of events in time or space. The scientists are especially interested to determine whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Applications of scan statistics have been recorded in many areas of science and technology including: geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.
Mathematical statistics --- Order statistics. --- Statistiques ordonnées --- Order statistics --- Statistiques ordonnées --- Statistics . --- Statistical Theory and Methods. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics
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Scan statistics is currently one of the most active and important areas of research in applied probability and statistics, having applications to a wide variety of fields: archaeology, astronomy, bioinformatics, biosurveillance, molecular biology, genetics, computer science, electrical engineering, geography, material sciences, physics, reconnaissance, reliability and quality control, telecommunication, and epidemiology. Filling a gap in the literature, this self-contained volume brings together a collection of selected chapters illustrating the depth and diversity of theory, methods and applications in the area of scan statistics. Key features: * Chapters are written by leading experts in the field. * Features many current results and highlights new directions for future research. * Includes challenging theoretical methodological research problems. * Presentation is accessible to statisticians as well as to scientists from other disciplines where scan statistics are employed. * Real-world applications to areas such as bioinformatics and biosurveillance are emphasized. * Contains extensive references to research articles, books, and relevant computer software. Scan Statistics is an excellent reference for graduate students and researchers in applied probability and statistics, as well as for scientists in biology, computer science, pharmaceutical science, medicine, geography, quality control, communications, and epidemiology. The work may also be used as a textbook for a graduate-level seminar on scan statistics.
Glaz, Joseph. --- Pozdnyakov, Vladimir. --- Wallenstein, Sylvan. --- Order statistics --- Mathematics --- Mathematical Statistics --- Physical Sciences & Mathematics --- Order statistics. --- Statistics. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Statistics, Order --- Mathematical statistics. --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Biomathematics. --- Statistical Theory and Methods. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Probability Theory and Stochastic Processes. --- Physiological, Cellular and Medical Topics. --- Probability and Statistics in Computer Science. --- Applications of Mathematics. --- Econometrics --- Nonparametric statistics --- Ranking and selection (Statistics) --- Distribution (Probability theory. --- Physiology --- Computer science. --- Mathematics. --- Math --- Science --- Informatics --- Animal physiology --- Animals --- Biology --- Anatomy --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistical inference --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistics . --- Engineering --- Engineering analysis --- Mathematical analysis --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk
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Scan statistics is currently one of the most active and important areas of research in applied probability and statistics, having applications to a wide variety of fields: archaeology, astronomy, bioinformatics, biosurveillance, molecular biology, genetics, computer science, electrical engineering, geography, material sciences, physics, reconnaissance, reliability and quality control, telecommunication, and epidemiology. Filling a gap in the literature, this self-contained volume brings together a collection of selected chapters illustrating the depth and diversity of theory, methods and applications in the area of scan statistics. Key features: * Chapters are written by leading experts in the field. * Features many current results and highlights new directions for future research. * Includes challenging theoretical methodological research problems. * Presentation is accessible to statisticians as well as to scientists from other disciplines where scan statistics are employed. * Real-world applications to areas such as bioinformatics and biosurveillance are emphasized. * Contains extensive references to research articles, books, and relevant computer software. Scan Statistics is an excellent reference for graduate students and researchers in applied probability and statistics, as well as for scientists in biology, computer science, pharmaceutical science, medicine, geography, quality control, communications, and epidemiology. The work may also be used as a textbook for a graduate-level seminar on scan statistics.
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Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
Operational research. Game theory --- Mathematics --- stochastische analyse --- speltheorie --- wiskunde --- operationeel onderzoek --- kansrekening
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Operational research. Game theory --- Mathematics --- stochastische analyse --- speltheorie --- wiskunde --- operationeel onderzoek --- kansrekening
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