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The Birnbaum-Saunders Distribution

The Birnbaum-Saunders Distribution
Author: Victor Leiva
Publisher: Academic Press
Total Pages: 156
Release: 2015-10-26
Genre: Mathematics
ISBN: 0128038276
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The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications. Introduces inference in the Birnbaum-Saunders distribution Provides a comprehensive review of the statistical theory and methodology of the Birnbaum-Distribution Discusses different applications of the Birnbaum-Saunders distribution Explains characterization and the lifetime analysis

Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications

Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications
Author: Marwa K. Hassan
Publisher: Infinite Study
Total Pages: 16
Release: 2024-01-01
Genre: Mathematics
ISBN:
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A neutrosophic statistic is a random variable and it has a neutrosophic probability distribution. So, in this paper, we introduce the new neutrosophic Birnbaum–Saunders distribution. Some statistical properties are derived, using Mathematica 13.1.1 and R-Studio Software. Two different estimation methods for parameters estimation are introduced for new distribution: maximum likelihood estimation method and Bayesian estimation method. A Monte-Carlo simulation study is used to investigate the behavior of parameters estimates of new distribution, compare the performance of different estimates, and compare between our distribution and the classical version of Birnbaum-Saunders. Finally, study the validity of our new distribution in real life.

Progressive Censoring

Progressive Censoring
Author: N. Balakrishnan
Publisher: Springer Science & Business Media
Total Pages: 255
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461213347
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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.

Quantile-Based Reliability Analysis

Quantile-Based Reliability Analysis
Author: N. Unnikrishnan Nair
Publisher: Springer Science & Business Media
Total Pages: 411
Release: 2013-08-24
Genre: Mathematics
ISBN: 0817683615
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Download Quantile-Based Reliability Analysis Book in PDF, ePub and Kindle

This book provides a fresh approach to reliability theory, an area that has gained increasing relevance in fields from statistics and engineering to demography and insurance. Its innovative use of quantile functions gives an analysis of lifetime data that is generally simpler, more robust, and more accurate than the traditional methods, and opens the door for further research in a wide variety of fields involving statistical analysis. In addition, the book can be used to good effect in the classroom as a text for advanced undergraduate and graduate courses in Reliability and Statistics.

Stochastic Ageing and Dependence for Reliability

Stochastic Ageing and Dependence for Reliability
Author: Chin Diew Lai
Publisher: Springer Science & Business Media
Total Pages: 437
Release: 2006-09-24
Genre: Mathematics
ISBN: 038734232X
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Download Stochastic Ageing and Dependence for Reliability Book in PDF, ePub and Kindle

This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.