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According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to pro- bilistic thinking . The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arisedo haveameaningontheintuitivelevel.Forinstance, wehaveto de?newhat we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we ?ip a coin twice, the...

Many phenomena in physics, chemistry, and biology can be modeled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modeled is made up of individual events that overlap e.g., individual raindrops that eventually make the ground evenly wet. This is a systematic, rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and they discuss related continuum models. Meester and Roy explain all important techniques and methods and apply them to obtain results on...

Statistics is more topical than ever. Numerous decisions depend on statistical considerations: just think of the Corona crisis or decisions about approving new drugs or other products. If researchers announce they have proved some fact using statistical tests, can we then always be sure that their claim is correct? How, and more importantly why, does statistics work? What can we expect from statistics and what not? Fact or Fluke? is not a textbook that explains statistical tests to the reader; instead, it discusses what comes before those tests: the philosophy behind the statistics. Should...

Many phenomena in physics, chemistry, and biology can be modeled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modeled is made up of individual events that overlap e.g., individual raindrops that eventually make the ground evenly wet. This is a systematic, rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and they discuss related continuum models. Meester and Roy explain all important techniques and methods and apply them to obtain results on...

Handbook of Lipids in Human Function: Fatty Acids presents current research relating to health issues whose impact may be modified by adopting personalized diets and lifestyle interventions of the consumption of fatty acids. Addressing cardiovascular and neurological diseases as well as cancer, obesity, inflammatory conditions, and lung disease, the authors correlate lipid sources with specific conditions, providing important insights into preventative as well as response-based actions designed to positively impact health outcomes.

The material is presented in 29 chapters and...

Eggs have been used as key part of the human diet for millennia. They contain a great variety of nutrients and material to sustain life and growth. The role of the egg as natural source of vitamins, proteins, fats, and other nutrients, continues to develop. Some nutrients have a controversy in benefits and risks. This controversy is the subject of several chapters in this book.Eggs have been used for decades by pharmaceutical companies as vehicles to grow viruses for vaccines. Currently, eggs are being developed to make antibodies for human use, so-called designer eggs. Eggs can also be used...

Research has clearly established a link between omega-3 fatty acids and general health, particularly cardiovascular health. Omega-3 Fatty Acids in Brain and Neurological Health is the first book to focus exclusively on the role of omega-3 fatty acids on general brain health. The articles in this collection illustrate omega-3 fatty acids' importance in longevity, cognitive impairment, and structure and function of the brain's neurons.

Research has established links between omega-3 fatty acids and the developing brain, aging, dementia, Alzheimer's disease and multiple...

This book addresses the role of statistics and probability in the evaluation of forensic evidence, including both theoretical issues and applications in legal contexts. It discusses what evidence is and how it can be quantified, how it should be understood, and how it is applied (and, sometimes, misapplied). After laying out their philosophical position, the authors begin with a detailed study of the likelihood ratio. Following this grounding, they discuss applications of the likelihood ratio to forensic questions, in the abstract and in concrete cases. The analysis of DNA evidence in...