Titlebook: Large Sample Techniques for Statistics; Jiming Jiang Textbook 2022Latest edition The Editor(s) (if applicable) and The Author(s), under ex

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Modes of Convergence,. convergence. We discuss properties of different types of convergence, the connections between them, and how to establish these properties. The discussion will mainly focus on the case of univariate random variables. However, most of the results presented here can be easily extended to the multivariate situation.

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Time and Spatial Series, A time series is usually denoted by .., . ∈ ., where . is a set of times, or .(.), . ∈ ., although in this book the latter notation is reserved for (continuous-time) stochastic processes (see the next chapter). An observed time series is a sequence of numbers, one at each observational time.

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Small-Area Estimation, sex × race group), a demographic group within a geographic region, and so forth. Some of the groundwork in small-area estimation related to the population counts and disease mapping research has been done by the epidemiologists and the demographers. The history of small-area statistics goes back to 11th- century England and 17th- century Canada.

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Jackknife and Bootstrap,sk, especially in view of the chapters that so far have been covered. It should be pointed out that we have no objection of using mathematical formulas—in fact, some of these are pleasant to use. However, in many cases, such formulas are simply not available or too complicated to use.

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1431-875X ations. The book is supplemented by a large number of exercises, giving readers opportunity to practice what they have learned. Appendices provide context for matrix algebra and mathematical statistics. 978-3-030-91697-8978-3-030-91695-4Series ISSN 1431-875X Series E-ISSN 2197-4136