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This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across different fields. Beginning with the fundamentals of probability, the au...
This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. It differs from the first edition in that it is now more 'reader friendly' and also includes a new chapter on Gaussian and Poisson experiments, reflecting their growing role in the field. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been amplified. The volume is not intended to replace monographs on specialized subjects, but will help to place them in a coherent perspective. It thus represents a link between traditional material - such as maximum likelihood, and Wald's Theory of Statistical Decision Functions -- together with comparison and distances for experiments. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.
This book is the first systematic treatment of Bayesian nonparametric methods and the theory behind them. It will also appeal to statisticians in general. The book is primarily aimed at graduate students and can be used as the text for a graduate course in Bayesian non-parametrics.
This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of deta...
Burn for Burn
Benci jadi cinta? Itu adalah segelintir kalimat yang tak asing didengar. Tapi berbeda dengan kisah seorang gadis bernama Grace Lakhaesa yang baru saja masuk ke SMA. Akibat kesalahan yang dilakukan pada kakak kelasnya, membuatnya harus masuk ke kehidupan cowok bernama Melviano Afkar Wesley, yang notabennya adalah most popurel dan most wanted di SMA Marga Satya ini. Konflik antara persahabatan, keluarga, kehancuran sebuah gengster, dan juga pengkhianatan akan tercipta dalam satu kisah cerita ini. Ketika keduanya sudah terikat oleh sebuah hubungan dan hati, berbagai macam masalah dan ancaman menghampiri keduanya. Akankah Grace siap memilih antara keluarga, sahabat atau cinta? Atau bahkan pasrah berakhir menyedihkan dan terhanyut dalam kesedihan? Inilah kisah asmara anak remaja yang terangkum dalam cerita MELVIANO.
"Hamil?" Gisa menggigit bibirnya kesal, kedua matanya berkaca-kaca menatap Abi yang masih memandangi tespek di tangannya dengan tatapan kosong. "Gue udah bilang, jangan pernah lupain kondom lo!" teriak Gisa. Abi mengusap wajahnya gusar, lalu menatap Gisa bingung. "Gis..." Gisa mengambil bantal dan guling dari atas tempat tidur lalu melemparkan semua itu pada wajah Abi. "Sialan, bego, gue benci banget sama lo, Abi!" napas Gisa tersengal hebat, lalu kedua matanya menatap tajam Abi yang sejak tadi hanya terdiam seperti orang tolol. "sampai lo punya pikiran minta gue aborsi, gue nggak akan mikir dua kali untuk ngebunuh lo. Semua ini salah lo, jadi, lo cari jalan keluarnya sendiri tanpa melibatkan gue."
Kepindahan Grace ke Indonesia, membuatnya mendapat teman baru. Namun, dia memilih bersikap apatis. Tidak mau berteman dengan siapa pun. Trauma masa lalu berkembang menjadi fobia. Baginya, teman adalah omong kosong belaka. Sikap Grace itu membuat Sean penasaran dan selalu menggodanya. Namun, Grace tidak menghiraukannya. Kedekatan mereka membuat cewek-cewek di sekolah mengusilinya. Kejadian itu pula yang membuatnya bertemu Kefan. Aneh! Grace menjadi gadis yang baik. Saat Grace merasa mulai menyukai Kefan, ada fakta lain yang dia ketahui. Fakta yang dengan sekejap menjungkirbalikkan kehidupannya.
In the tradition of the first volume of Mathematical People comes another collection of interviews and profiles with some of the most prestigious mathematicians of our time. The chapters tell in the mathematicians' own words how they became interested in mathematics, how they chose their speciality, and about their hobbies and personal lives. Each interview has its own colorful character and is full of photographs so personal and lively that they add a new dimension to the reader's perception. -- from dust jacket.