Titlebook: Applied Probability; Kenneth Lange Textbook 20102nd edition The Editor(s) (if applicable) and The Author(s), under exclusive license to Sp

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Urban Green Oases and Recreational Areas,lities, and applied probability. Despite this fact, students seldom see convexity presented in a coherent fashion. It always seems to take a backseat to more pressing topics. The current chapter is intended as a partial remedy to this pedagogical gap.

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Urban Green Oases and Recreational Areas,is ill is more exposure, not less. Because combinatorics has so many important applications, serious students of the mathematical sciences neglect it at their peril. Here we explore a few topics in combinatorics that have maximum intersection with probability. Our policy is to assume that readers ha

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Environmental Concerns and Remediationorithms to solve such problems. Traditionally, these algorithms have been classified by their worst-case performance. Such an analysis can lead to undue pessimism. The average behavior of an algorithm is usually more relevant. Of course, to evaluate the average complexity of an algorithm, we must ha

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Ganesh Chandra Kisku,Pokhraj Sahuastic component [23, 24, 59, 80, 106, 107, 118]. In this chapter we give a few examples and a quick theoretical overview of discrete-time Markov chains. The highlight of our theoretical development, Proposition 7.4.1, relies on a coupling argument. Because coupling is one of the most powerful and in

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Italian Mediterranean Environment,e useful than discrete-time chains. For one thing, continuous-time chains permit variation in the waiting times for transitions between neighboring states. For another, they avoid the annoyances of periodic behavior. Balanced against these advantages is the disadvantage of a more complex theory invo

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https://doi.org/10.1007/978-3-540-87963-3strategies to beat the house. Probabilists know better. The real payoff with martingales is their practical value throughout probability theory. This chapter introduces martingales, develops some relevant theory, and delves into a few applications. As a prelude, readers are urged to review the mater

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https://doi.org/10.1007/978-3-540-87963-3n elementary level, stressing intuition rather than rigor. Readers with the time and mathematical inclination should follow up this brief account by delving into serious presentations of the mathematics [80, 107]. A good grounding in measure theory is indispensable in understanding the theory. At th