Progressively Type II Censored Order Statistics and Characterizations PDF Download
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Author: Tu Ba Y LD Z
Publisher: LAP Lambert Academic Publishing
ISBN: 9783844303704
Category :
Languages : en
Pages : 88
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Book Description
The theory of ordered random variables is used in many fields of statistical science and inference. Some of ordered random variable models are order statistics, progressively censored order statistics, record values and generalized order statistics. Each one of these models has different interpretations and interesting applications in many fields, for example, in survival analysis, reliability theory, financial economics, etc. In this work, the joint probability density function of nonadjacent Progressively Type II censored order statistics is presented. It is proved that Progressively Type II censored order statistics are reduced to order statistics for special censoring scheme. This reduction theorem enables to extend distributional properties of order statistics into properties of Progressively Type II censored order statistics with this censoring scheme. Then by using this result, for a general class of distributions some characterizations through the properties of conditional expectations of order statistics and Progressively Type II censored order statistics are given.
Author: Tu Ba Y LD Z
Publisher: LAP Lambert Academic Publishing
ISBN: 9783844303704
Category :
Languages : en
Pages : 88
Get Book Here
Book Description
The theory of ordered random variables is used in many fields of statistical science and inference. Some of ordered random variable models are order statistics, progressively censored order statistics, record values and generalized order statistics. Each one of these models has different interpretations and interesting applications in many fields, for example, in survival analysis, reliability theory, financial economics, etc. In this work, the joint probability density function of nonadjacent Progressively Type II censored order statistics is presented. It is proved that Progressively Type II censored order statistics are reduced to order statistics for special censoring scheme. This reduction theorem enables to extend distributional properties of order statistics into properties of Progressively Type II censored order statistics with this censoring scheme. Then by using this result, for a general class of distributions some characterizations through the properties of conditional expectations of order statistics and Progressively Type II censored order statistics are given.
Author: N. Balakrishnan
Publisher: Springer
ISBN: 0817648070
Category : Mathematics
Languages : en
Pages : 652
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Book Description
This book offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth over the last decade. The theory has developed quite nicely in some special cases having practical applications to reliability and quality. The Art of Progressive Censoring is a valuable reference for graduate students, researchers, and practitioners in applied statistics, quality control, life testing, and reliability. With its accessible style and concrete examples, the work may also be used as a textbook in an advanced undergraduate or a beginning graduate course on censoring or progressive censoring, as well as a supplementary textbook for a course on ordered data.
Author: N. Balakrishnan
Publisher: Springer Science & Business Media
ISBN: 1461213347
Category : Mathematics
Languages : en
Pages : 255
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Book Description
This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.
Author: Ismihan Bairamov
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
For a sequence of independent and identically distributed random vectors , we consider the conditional ordering of this random vectors with respect to the magnitudes of , where N is a p- variate continuous function defined on the support set of X and satisfying certain regularity conditions. We also consider the Progressive Type II right censoring for multivariate observations using conditional ordering. The need for the conditional ordering of random vectors exists for example, in reliability analysis when a system has n independent components each consisting of p arbitrarily dependent and parallel connected elements. Let the life length of the i component of the system be , where denotes the life length of the j element of the i component. Then the first failure in the system occurs at time for this case . In this paper we introduce the conditionally ordered and Progressive Type II right censored conditionally ordered statistics for multivariate observations and study their distributional properties.
Author: N. Balakrishnan
Publisher: CRC Press
ISBN: 1420028693
Category : Mathematics
Languages : en
Pages : 253
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Book Description
Statistical distributions are one of the most important applied mathematical tools across a wide spectrum of disciplines, including engineering, biological sciences, and health and social sciences. Since they are used to model observed data and ultimately to develop inferential procedures, understanding the properties of statistical distributions i
Author: Narayanaswamy Balakrishnan
Publisher: Academic Press
ISBN: 0123983908
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Hybrid Censoring Know-How: Models, Methods and Applications focuses on hybrid censoring, an important topic in censoring methodology with numerous applications. The readers will find information on the significance of censored data in theoretical and applied contexts, and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur. The existing literature on censoring methodology, life-testing procedures, and lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap, featuring statistical tools applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography. Presents many numerical examples to adequately illustrate all inferential methods discussed Mentions some open problems and possible directions for future work Reviews developments on Type-II and Type-I HCS, including the most recent research and trends Explains why hybrid censored sampling is important in practice Provides details about the use of HCS under different settings and on various designs of HCS Describes the use of hybrid censoring in other reliability applications such as reliability sampling plans, step-stress testing, and quality control
Author: Narayanaswamy Balakrishnan
Publisher: Elsevier
ISBN: 1483297497
Category : Mathematics
Languages : en
Pages : 399
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Book Description
The literature on order statistics and inferenc eis quite extensive and covers a large number of fields ,but most of it is dispersed throughout numerous publications. This volume is the consolidtion of the most important results and places an emphasis on estimation. Both theoretical and computational procedures are presented to meet the needs of researchers, professionals, and students. The methods of estimation discussed are well-illustrated with numerous practical examples from both the physical and life sciences, including sociology,psychology,a nd electrical and chemical engineering. A complete, comprehensive bibliography is included so the book can be used both aas a text and reference.
Author: N. Balakrishnan
Publisher: CRC Press
ISBN: 9780203493212
Category : Mathematics
Languages : en
Pages : 674
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Book Description
This is one of two volumes that sets forth invited papers presented at the International Indian Statistical Association Conference. This volume emphasizes advancements in methodology and applications of probability and statistics. The chapters, representing the ideas of vanguard researchers on the topic, present several different subspecialties, including applied probability, models and applications, estimation and testing, robust inference, regression and design and sample size methodology. The text also fully describes the applications of these new ideas to industry, ecology, biology, health, economics and management. Researchers and graduate students in mathematical analysis, as well as probability and statistics professionals in industry, will learn much from this volume.
Author: Hoang Pham
Publisher: Springer Nature
ISBN: 1447175034
Category : Technology & Engineering
Languages : en
Pages : 1136
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Book Description
In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.
Author: Barry C. Arnold
Publisher: CRC Press
ISBN: 1466584858
Category : Mathematics
Languages : en
Pages : 435
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Book Description
Since the publication of the first edition over 30 years ago, the literature related to Pareto distributions has flourished to encompass computer-based inference methods. Pareto Distributions, Second Edition provides broad, up-to-date coverage of the Pareto model and its extensions. This edition expands several chapters to accommodate recent result
