[PDF] Moments Of Some Ordered Random Variables With Application eBook

Author : Zaki Anwar
Publisher : LAP Lambert Academic Publishing
Page : 116 pages
File Size : 39,13 MB
Release : 2013
Category :
ISBN : 9783659396366

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There are several types of ordered random variables like order statistics, record values, sequential order statistics etc. which are used in different fields of application. Generalized order statistics and dual generalized order statistics are actually unifications of some ordered and reversed ordered random variables respectively. So study of generalized and dual generalized order statistics is actually a simultaneous study of these ordered random variables. The work presented in this book is based on the moments of generalized and dual generalized order statistics with some applications for some specific distributions and also for some types of general class of distributions.

Author : Muhammad Qaiser Shahbaz
Publisher : Springer
Page : 300 pages
File Size : 31,50 MB
Release : 2016-11-29
Category : Mathematics
ISBN : 9462392250

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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 : Mohammad Ahsanullah
Publisher : Nova Publishers
Page : 352 pages
File Size : 23,86 MB
Release : 2007
Category : Mathematics
ISBN : 9781600213014

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The ordered random variables play important roles in the theory and practice of statistics. They possess significant statistical properties. Over the last few decades, many articles on various topics of ordered statistical data have appeared. Our handbook comprises twenty one chapters discussing various topics on theory and applications. The editors of this book worked together several articles on order and record statistics, which covered the subjects of distributional properties, characterisations and statistical inferences. It was a special interest to co-ordinate and edit an interesting research problem based on material contributed by several prominent researchers from all over the world. This book presents new developments in the subject of ordered random variables. These aspects involve theory of ordered random variables, reliability theory, stochastic ordering, bounds, characterisations, and estimation and prediction techniques.

Author : Herbert A. David
Publisher : John Wiley & Sons
Page : 482 pages
File Size : 45,15 MB
Release : 2004-03-22
Category : Mathematics
ISBN : 0471654019

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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 : Karl Mosler
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 37,24 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642499724

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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.

Author : Zbigniew A. Kotulski
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 12,3 MB
Release : 2009-12-10
Category : Technology & Engineering
ISBN : 9048135702

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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 :
Page : 512 pages
File Size : 12,42 MB
Release : 1970
Category : Annals of mathematical statistics
ISBN :

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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.