Algebraic methods in markov chains; Ratio theorems of transition probabilities and applications; Sums of independent random variables as a markov chain; Order statistics, poisson processes, and applications; Continuous time markov chains; Diffusion processes; Compouding stochastic processes; Fluctuation theory of partial sums of independent identically distributed random variables; Queueing processes.
Elements of stochastic processes; Markov chains; The basic limit theorem of markov chains and applications; Classical examples of continuous time markov chains; Renewal processes; Martingales; Brownian motion; Branching processes; Stationary processes.
An Introduction to Stochastic Modeling, Revised Edition provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
Based on the Diagnostic and Statistical Manual for Primary Care: Child and Adolescent Version (DSM-PC), this state-of-the-art reference expertly guides you through normal and abnormal development and behavior for all pediatric age groups. See how neurobiological, environmental, and human relationship factors all contribute to developmental and behavioral disorders and know how to best diagnose and treat each patient you see. Accurately identify developmental and behavioral problems using the Diagnostic and Statistical Manual for Primary Care criteria, and evidence-based guidelines. Gain a clear understanding of the "normal" boundaries and variations within specific disorders. Make informed therapeutic decisions with the integration of basic science and practical information and recommendations from the Society of Developmental and Behavioral Pediatrics and the American Academy of Pediatrics. Avoid legal and ethical implications by consulting the Law, Policy, and Ethics chapter.
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