Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunion de Matematicos Mexicanos en el Mundo), held from June 10-15, 2018, at Casa Matematica Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico. This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields. This book is published in cooperation with Sociedad Matematica Mexicana.

The Digital Twin Paradigm for Smarter Systems and Environments: The Industry Use Cases, Volume 117, the latest volume in the Advances in Computers series, presents detailed coverage of new advancements in computer hardware, software, theory, design and applications. Chapters vividly illustrate how the emerging discipline of digital twin is strategically contributing to various digital transformation initiatives. Specific chapters cover Demystifying the Digital Twin Paradigm, Digital Twin Technology for "Smarter Manufacturing", The Fog Computing/ Edge Computing to leverage Digital Twin, The industry use cases for the Digital Twin idea, Enabling Digital Twin at the Edge, The Industrial Internet of Things (IIOT), and much more.

The book contains 9 chapters out of which Chapters (1-2) deals with the "Point Estimation", (3) Interval estimation, (4-5) Test of hypothesis, (6) Sequential statistics, (7) Decision theory, (8) Linear estimation and (9) Theory of ordered statistics.