A timely and applied approach to the newly discovered methods and applications of U-statistics Built on years of collaborative research and academic experience, Modern Applied U-Statistics successfully presents a thorough introduction to the theory of U-statistics using in-depth examples and applications that address contemporary areas of study including biomedical and psychosocial research. Utilizing a "learn by example" approach, this book provides an accessible, yet in-depth, treatment of U-statistics, as well as addresses key concepts in asymptotic theory by integrating translational and cross-disciplinary research. The authors begin with an introduction of the essential and theoretical foundations of U-statistics such as the notion of convergence in probability and distribution, basic convergence results, stochastic Os, inference theory, generalized estimating equations, as well as the definition and asymptotic properties of U-statistics. With an emphasis on nonparametric applications when and where applicable, the authors then build upon this established foundation in order to equip readers with the knowledge needed to understand the modern-day extensions of U-statistics that are explored in subsequent chapters. Additional topical coverage includes: Longitudinal data modeling with missing data Parametric and distribution-free mixed-effect and structural equation models A new multi-response based regression framework for non-parametric statistics such as the product moment correlation, Kendall's tau, and Mann-Whitney-Wilcoxon rank tests A new class of U-statistic-based estimating equations (UBEE) for dependent responses Motivating examples, in-depth illustrations of statistical and model-building concepts, and an extensive discussion of longitudinal study designs strengthen the real-world utility and comprehension of this book. An accompanying Web site features SAS? and S-Plus? program codes, software applications, and additional study data. Modern Applied U-Statistics accommodates second- and third-year students of biostatistics at the graduate level and also serves as an excellent self-study for practitioners in the fields of bioinformatics and psychosocial research.

In 1946 Paul Halmos studied unbiased estimators of minimum variance, and planted the seed from which the subject matter of the present monograph sprang. The author has undertaken to provide experts and advanced students with a review of the present status of the evolved theory of U-statistics, including applications to indicate the range and scope of U-statistic methods. Complete with over 200 end-of-chapter references, this is an invaluable addition to the libraries of applied and theoretical statisticians and mathematicians.

Alloys of Uranium with Alkali Metals, Alkaline Earths, and Elements of Main Groups III and IV. The description of uranium and its compounds, for which the Gmelin Institute has started a series of volumes supplementing the main volume of 1936, follows in its arrangement closely the order chosen for the transuranium volumes. Part A treats "The Element", Part B "The Metal and its Alloys", Part C "The Compounds", Part D "The Chemistry in Solution", and finally Part E "The Coordination Compounds". Part E, "The Coordination Compounds" comprises two volumes which already have been finished and are available - completely written in English. Series A comprises 7 volumes which are all available. Series C will comprise 14 volumes of which only volume 6 is missing. Series D consists of 4 volumes dealing with the chemistry in solution, which already have been finished and are available. The present volume describes the alloys and the intermetallic compounds with the metals of main groups I to IV - those systems with semimetals such as boron and germanium are to be found in corresponding volumes in Uranium C series. In the volume B 2 main emphasis is given to the binary systems. The most frequently investigated systems are uranium-beryllium and uranium-aluminium because of their special scientific (U-Be) and technological (U-Al) importance.

This is the second of three volumes covering the U-boat campaign in the Atlantic during the Second World War.??This is the fascinating account, as told from the German perspective, of the Battle of the Atlantic, the longest-running, continuous military campaign in World War II, spanning from 1939 through to Germany's defeat in 1945. At its core was the Allied naval blockade of Germany, which was announced the day after the declaration of war, although it quickly grew to include Germany's counter-blockade. The name "Battle of the Atlantic", was coined by Winston Churchill in 1941 and he famously stated that the U-boats were the only thing that really frightened him. The U-boat war encompassed a campaign that began on the first day of the European war and lasted for six years, involved thousands of ships and stretched over thousands of square miles of ocean, in more than 100 convoy battles and perhaps 1,000 single-ship encounters. In the 68 months of World War II, 2,775 Allied merchant ships were sunk for the loss of 781 U-boats.??This is the story of that massive encounter from the German perspective. Published in three volumes, this work was compiled under the supervision of the U.S Navy Department and the British Admiralty by Fregattenkapitan Gunther Hessler. The author, though without previous experience as a writer, had first hand experience of U-boat warfare having commanded a U-boat in 1940 and 1941. For the remainder of the war he was Staff Officer to the Flag Officer commanding U-boats. He had access to German war diaries and other relevant documents concerning U-boat command, and this work based on these many documents, tells the story entirely from the viewpoint of that command. For this reason this work is essential reading for anyone interested in the history of World War II from primary sources and will be of enduring interest to those engaged in attempting to unravel the true nature of submarine warfare in World War II.

Describes Bahá'u'lláh's life straightforwardly but with drama and a talent for evoking the ambience of the 19th-century Persian and Ottomoan milieus. Five appendices cover a chronology of the events in the life of Bahá'ulláh's life, Bahá'ulláh's family, the branches of Islam, millennial Christians, and his younger half-brother Mírzá Yahyá.

No weapon platform sank more U-boats in the Second World War than the Allied aircraft. Whether it was an American ’plane operating from American escort carriers, US aircraft from Royal Air Force bases, or British aircraft from bases throughout the world, these officers and men became the most decisive factor in turning the tide of the Battle of the Atlantic against the German submarine threat. While the German crews could threaten escort vessels with torpedoes, or avoid them by remaining submerged, their leaders never developed an effective strategy against aircraft. However, the Allied aircraft did not enjoy much early success. British, Canadian and Australian air crews that fought the U-boats from 1939 until 1941 achieved few triumphs. They possessed neither the aircraft nor the bases necessary to deliver consistent lethal attacks against German submarines. In 1941, the Royal Air Force finally began implementing an effective aircraft response when it initiated training on the American-built Consolidated B-24 Liberators. Supported by other types then in service, these four-engine bombers would prove to be decisive. With America’s entry into the war, the United States Navy and the United States Army Air Forces also began employing Liberators against the U-boats so that by mid-1943, the Admiral Karl Dönitz, commander of U-boat forces, withdrew his submarines from the North Atlantic in recognition of the Allied aircraft’s new dominance. From Dönitz’s retreat to the end of the war, Allied aircraft continued to dominate the U-boat battle as it shifted to other areas including the Bay of Biscay. Dönitz eventually ordered his U-boats to remain on the surface and engage Allied aircraft as opposed to submerging. This approach did lead to the demise of some Allied aircraft, but it also resulted in even more U-boat being sunk. Most critically, Dönitz acknowledged with his new policy that he knew of no tactics or weapons that would defend his submarines from Allied aircraft. In the end, it was a matter of choosing whether his submariners would die submerged or die surfaced. Either way, Allied aircraft prevailed. The Allied Air Campaign Against Hitler’s U-Boats is the most comprehensive study ever undertaken of this most crucial battle which helped turn the Battle of the Atlantic irrevocably in favour of the Allies.

This, the first of two volumes on Germany's World War II U-boats, traces their development from the early U-boats of the Kaiser's Navy, the prohibition on Germany having U-boats following the Armistice in 1918 and the subsequent Treaty of Versailles, the secret development of U-boats using a 'cover-firm' in Holland, culminating in the formation of the 1st U-boat Flotilla in 1935 with the modern Type II. The operational history section includes examples from the Classes Type VIIA, Type VIIB, VIID, VIIE and VIIF before concentrating on the mainstay of the U-boat arm, the Type VIIC. Comparisons are also made with the standard allied submarines, their strengths, weaknesses and U-boat tactics.