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An easily accessible, real-world approach to probability and stochastic processes Introduction to Probability and Stochastic Processes with Applications presents a clear, easy-to-understand treatment of probability and stochastic processes, providing readers with a solid foundation they can build upon throughout their careers. With an emphasis on applications in engineering, applied sciences, business and finance, statistics, mathematics, and operations research, the book features numerous real-world examples that illustrate how random phenomena occur in nature and how to use probabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the b...
Featuring contributions from industry and academia, this volume includes chapters covering a diverse range of theoretical and empirical aspects of actuarial science and quantitative finance, including portfolio management, derivative valuation, risk theory and the economics of insurance. Developed from the First International Congress on Actuarial Science and Quantitative Finance, held at the Universidad Nacional de Colombia in Bogotá in June 2014, this volume highlights different approaches to issues arising from industries in the Andean and Carribean regions. Contributions address topics such as Reverse mortgage schemes and urban dynamics, modeling spot price dynamics in the electricity market, and optimizing calibration and pricing with SABR models.
This is a book that handles the non-alcoholic fatty liver disease from the bio-statistical point of view . The statistical method used is Continuous Time Markov Chains ( CTMCs) utilizing the MLE and quasi-Newton method to estimates the transition rate matrix , once obtained , the transition probability matrix can be estimated by exponentiation of this rate matrix. The transition probability matrix can also be obtained by solving forward Kolmogorov differential equations which yields more stable solution than the matrix exponentiation. The rate probability matrix can then be used to estimate the number of patients in each stage of the disease process as well as the life expectancy in each sta...
Integrated Population Biology and Modeling: Part B, Volume 40, offers very delicately complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics, with this updated release focusing on Prey-predator animal models, Back projections, Evolutionary Biology computations, Population biology of collective behavior and bio patchiness, Collective behavior, Population biology through data science, Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology, Population Dynamics of Manipur, Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance, Theories of Stationary Populations and association with life lived and life left, and more. - Studies human and animal models that are studied both separately and throughout chapters - Presents a comprehensive and timely update on integrated population biology
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This report is an account of contemporary forced labour to date. It provides the first global and regional estimates by an international organization of forced labour in the world today, including the number of people affected and how many of them are victims of trafficking, as well as of the profits made by the criminals exploiting trafficked workers.Based on these data, the report highlights the gravity of the problem of forced labour. From this data emerges three major categories of forced labour: forced labour imposed by the State for economic, political or other purposes, forced labour linked to poverty and discrimination and forced labour that arises from migration and trafficking of w...