This volume presents the latest advances and trends in stochastic models and related statistical procedures. Selected peer-reviewed contributions focus on statistical inference, quality control, change-point analysis and detection, empirical processes, time series analysis, survival analysis and reliability, statistics for stochastic processes, big data in technology and the sciences, statistical genetics, experiment design, and stochastic models in engineering. Stochastic models and related statistical procedures play an important part in furthering our understanding of the challenging problems currently arising in areas of application such as the natural sciences, information technology, engineering, image analysis, genetics, energy and finance, to name but a few. This collection arises from the 12th Workshop on Stochastic Models, Statistics and Their Applications, Wroclaw, Poland.

This volume presents the latest advances and trends in stochastic models and related statistical procedures. Selected peer-reviewed contributions focus on statistical inference, quality control, change-point analysis and detection, empirical processes, time series analysis, survival analysis and reliability, statistics for stochastic processes, big data in technology and the sciences, statistical genetics, experiment design, and stochastic models in engineering. Stochastic models and related statistical procedures play an important part in furthering our understanding of the challenging problems currently arising in areas of application such as the natural sciences, information technology, engineering, image analysis, genetics, energy and finance, to name but a few. This collection arises from the 12th Workshop on Stochastic Models, Statistics and Their Applications, Wroclaw, Poland.

This book discusses the interplay between statistics, data science, machine learning and artificial intelligence, with a focus on environmental science, the natural sciences, and technology. It covers the state of the art from both a theoretical and a practical viewpoint and describes how to successfully apply machine learning methods, demonstrating the benefits of statistics for modeling and analyzing high-dimensional and big data. The book's expert contributions include theoretical studies of machine learning methods, expositions of general methodologies for sound statistical analyses of data as well as novel approaches to modeling and analyzing data for specific problems and areas. In terms of applications, the contributions deal with data as arising in industrial quality control, autonomous driving, transportation and traffic, chip manufacturing, photovoltaics, football, transmission of infectious diseases, Covid-19 and public health. The book will appeal to statisticians and data scientists, as well as engineers and computer scientists working in related fields or applications.

Mathematische Modelle und Methoden sind heute in den Natur- und Biowissenschaften zu einem wichtigen Bestandteil der wissenschaftlichen Arbeit und Forschung geworden. Leitfaden der vorliegenden anschaulichen und grundlegenden Einf hrung in diesen Themenbereich sind die in den Naturwissenschaften typischen auftretenen Fragestellungen, anhand dessen die wichtigsten Konzepte entwickelt werden. Bei der Darstellung des Stoffes wird bewusst auf das aus der Mathematik stammende Definition-Satz-Beweis-Schema verzichtet und die Vermittlung der wesentlichen Ideen und Ans tze in den Vordergrund gestellt.

Schwerpunkte der Stoffauswahl liegen in der Wahrscheinlichkeitsrechnung, Statistik und Analysis, die einen direkten Zugang zu den wichtigen Anwendungen erm glichen.

In diesem Buch werden in kompakter Form mithilfe zahlreicher Beispiele die ublichen Modelle und Methoden der angewandten Wahrscheinlichkeitstheorie und Statistik dargestellt. Es ist daher insbesondere fur angehende Wirtschaftswissenschaftler, Ingenieure und Informatiker geeignet, welchen auch das didaktische Konzept des Buchs entgegenkommt: Verstandnisfragen und Aufgaben in Form von "Meilensteinen" erleichtern das eigenstandige UEberprufen des Lernfortschritts. Ein ausfuhrlicher mathematischer Anhang "Mathematik kompakt" stellt die wichtigsten Ergebnisse aus Analysis und linearer Algebra zum effizienten Nachschlagen zur Verfugung. Ein Glossar mit den wichtigsten englischen Begriffen sowie Tabellen der statistischen Testverteilungen runden die Darstellung ab.