Excerpt from Note on the Central Limit Theorem
We are now in a position to complete the proof of the theorem, by proving Lemma Under the assumption of the set of limit points of L(n) fill out a single closed subinterval of.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Paperback. Condition: New. Print on Demand. This book is a comprehensive exploration of the central limit theorem, examining its implications and significance in probability theory. The central limit theorem is a cornerstone of statistical inference, providing a foundation for understanding the distribution of sample means as sample size increases. The author explores the historical development of the theorem, delving into the contributions of Lindeberg and Gnedenko and Kolmogorov. This book also examines the relationship between the central limit theorem and the Lindeberg condition, demonstrating that while the Lindeberg condition is not equivalent to the central limit theorem, it does imply that the limit distributions of the partial sums form a one-parameter family of normal distributions. Through thought-provoking examples and rigorous mathematical analysis, the author provides a thorough understanding of this essential theorem and its impact on probability theory. Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Seller Inventory # 9781332906840_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781332906840
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781332906840
Quantity: 15 available