Moments Of Some Ordered Random Variables With Application
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| Author | : Muhammad Qaiser Shahbaz |
| Publisher | : Springer |
| Total Pages | : 300 |
| Release | : 2016-11-29 |
| Genre | : Mathematics |
| ISBN | : 9462392250 |
Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).
| Author | : Udo Kamps |
| Publisher | : Teubner Skripten zur Mathematischen Stochastik |
| Total Pages | : 220 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : |
Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. Both models describe random variables arranged in order of magnitude. In addition to these well-known models, several other models of ordered random variables, known and new ones, are introduced in this book such as order statistics with non-integral sample size, sequential order statistics, k-th record values, Pfeifer' s record model, k -records from non-identical distributions and ordered random variables which arise from n truncation of distributions. These models can be effectively applied, e.g., in reliability theory. Here, an order statistic represents the life-length of some r-out-of-n-system which is an important technical structure consisting of n components. For this application, a new and more adequate model is naturally suggested. Sequential order statistics serve as a model describing certain dependencies or interactions among the system components caused by failures of components. Record values are closely connected with the occurrence times of some corresponding non-homogeneaus Poisson process and used in so lled shock models. More flexible record models, and therefore more applicable to practical situations, are considered here. The main purpose of this book is to present a concept of generalized order statistics as a unified approach to a variety of models of ordered random variables. In the distribution theoretical sense, all of the models mentioned above are contained in the proposed model of generalized order statistics.
| Author | : Herbert A. David |
| Publisher | : John Wiley & Sons |
| Total Pages | : 482 |
| Release | : 2004-03-22 |
| Genre | : Mathematics |
| ISBN | : 0471654019 |
This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions. Furthermore, it develops the distribution theory of OS systematically. Applications include procedures for the treatment of outliers and other data analysis techniques. Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission. Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter. Extensive exercise sets will continue, many of them replaced by newer ones.
| Author | : Steven J. Miller |
| Publisher | : Princeton University Press |
| Total Pages | : 752 |
| Release | : 2017-05-16 |
| Genre | : Mathematics |
| ISBN | : 0691149550 |
The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous worked-out examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach
| Author | : Zbigniew A. Kotulski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 270 |
| Release | : 2009-12-10 |
| Genre | : Technology & Engineering |
| ISBN | : 9048135702 |
Our intention in preparing this book was to present in as simple a manner as possible those branches of error analysis which ?nd direct applications in solving various problems in engineering practice. The main reason for writing this text was the lack of such an approach in existing books dealing with the error calculus. Most of books are devoted to mathematical statistics and to probability theory. The range of applications is usually limited to the problems of general statistics and to the analysis of errors in various measuring techniques. Much less attention is paid in these books to two-dimensional and three-dim- sional distributions, and almost no attention is given to problems connected with the two-dimensional and three-dimensional vectorial functions of independent random variables. The theory of such vectorial functions ?nds new applications connected, for example, with analysis of the positioning accuracy of various mechanisms, among them of robot manipulators and automatically controlled earth-moving and loading machines, such as excavators.
| Author | : Brian L. Joiner |
| Publisher | : |
| Total Pages | : 512 |
| Release | : 1970 |
| Genre | : Annals of mathematical statistics |
| ISBN | : |
All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
| Author | : Narayanaswamy Balakrishnan |
| Publisher | : Springer Nature |
| Total Pages | : 681 |
| Release | : |
| Genre | : |
| ISBN | : 3031613473 |
| Author | : Aurélien Francillon |
| Publisher | : Springer |
| Total Pages | : 271 |
| Release | : 2014-06-26 |
| Genre | : Computers |
| ISBN | : 3319083023 |
This book constitutes the thoroughly refereed post-conference proceedings of the 12th International Conference on Smart Card Research and Advanced Applications, CARDIS 2013, held in Berlin, Germany, in November 2013. The 17 revised full papers presented in this book were carefully reviewed and selected from 47 submissions. The papers are organized in topical sections on security technologies; attacks on masking; side channel attacks; software and protocol analysis; side channel countermeasures; and side channel and fault attacks.
| Author | : J. Laurie Snell |
| Publisher | : CRC Press |
| Total Pages | : 400 |
| Release | : 1995-04-18 |
| Genre | : Mathematics |
| ISBN | : 9780849380730 |
Probability theory has grown from a modest study of simple games of change to a subject with application in almost every branch of knowledge and science. In this exciting book, a number of distinguished probabilists discuss their current work and applications in an easily understood manner. Chapters show that new directions in probability have been suggested by the application of probability to other fields and other disciplines of mathematics. The study of polymer chains in chemistry led to the study of self-avoiding random walks; the study of the Ising model in physics and models for epidemics in biology led to the study of the probability theory of interacting particle systems. The stochastic calculus has allowed probabilists to solve problems in classical analysis, in theory of investment, and in engineering. The mathematical formulation of game theory has led to new insights into decisions under uncertainty. These new developments in probability are vividly illustrated throughout the book.
| Author | : Karl Mosler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 385 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642499724 |
A bibliography on stochastic orderings. Was there a real need for it? In a time of reference databases as the MathSci or the Science Citation Index or the Social Science Citation Index the answer seems to be negative. The reason we think that this bibliog raphy might be of some use stems from the frustration that we, as workers in the field, have often experienced by finding similar results being discovered and proved over and over in different journals of different disciplines with different levels of mathematical so phistication and accuracy and most of the times without cross references. Of course it would be very unfair to blame an economist, say, for not knowing a result in mathematical physics, or vice versa, especially when the problems and the languages are so far apart that it is often difficult to recognize the analogies even after further scrutiny. We hope that collecting the references on this topic, regardless of the area of application, will be of some help, at least to pinpoint the problem. We use the term stochastic ordering in a broad sense to denote any ordering relation on a space of probability measures. Questions that can be related to the idea of stochastic orderings are as old as probability itself. Think for instance of the problem of comparing two gambles in order to decide which one is more favorable.
