Isbn: 9781334434174 - asymptotic properties of k-means clustering algorithm as a density estimation procedure (classic reprint) (3 resultados)

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condición: New. Print on Demand. This book explores the k-means clustering algorithm, a significant technique in data analysis for grouping similar observations into clusters. Historically used for cluster analysis, the author shows how k-means can also be used to generate variable cell histograms, a powerful tool for estimating probability density functions. The author presents the mathematical foundations of k-means, establishing its asymptotic properties as a density estimation method under specific conditions. Two histogram estimates based on k-means clustering are proposed, and their uniform consistency in probability is proven. Empirical examples illustrate the performance of the proposed estimates. Providing a solid theoretical framework and practical insights, this book deepens our understanding of k-means as a valuable technique for density estimation, expanding its applications in statistical modeling and data analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…