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A Comparison Of Estimation Procedures For The Linear Hazard Rate Distribution
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Book Synopsis A Comparison of Estimation Procedures for the Linear, Hazard-rate Distribution by : Yusof Bin Mohamed Taib
Download or read book A Comparison of Estimation Procedures for the Linear, Hazard-rate Distribution written by Yusof Bin Mohamed Taib and published by . This book was released on 1982 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main concern of the research has been the estimation of the two parameters of the linear hazard rate distribution, both from complete and from singly censored samples. Firstly, easy graphical procedures are investigated. The hazard plot is found to be advantageous when both parameters are considered jointly. When the parameters are considered individually, the slope parameter is estimated with smallest mean square error by the hazard plot, while the intercept is estimated with smallest mean square error by plotting the logarithm of the survivor function. Simple smoothing procedures, such as running medians or moving averages, facilitate the fitting of lines by eye to these plots. Six analytical procedures are then proposed, investigated, and compared with each other and with existing procedures. These comparisons are based on extensive Monte Carlo calculations.........
Book Synopsis Comparison of Maximum Likelihood and Least Squares Cumulative Estimators for the Gompertz-Makeham Hazard Rate Function by : Richard Earl Sackett
Download or read book Comparison of Maximum Likelihood and Least Squares Cumulative Estimators for the Gompertz-Makeham Hazard Rate Function written by Richard Earl Sackett and published by . This book was released on 1975 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research investigates the use of the cumulative distribution function and least squares analysis for estimating the three parameters of the hazard function, b + k(e sup( -at)). The least squares cumulative (LSC) estimators of the parameters are obtained by solving a system of nonlinear equations using the gradient method of Fletcher-Powell. The small sample property of the estimator is analyzed in a two-way comparison. Through Monte-Carle simulation, sample data sets with five to twenty-five time-to-failure data points are generated by assuming parameter values. The failure times are used as inputs to the LSC program and the resulting estimates are compared to maximum likelihood estimates.
Book Synopsis A New Family of Generalized Quadratic Hazard Rate Distribution With Applications by : M. Kayid
Download or read book A New Family of Generalized Quadratic Hazard Rate Distribution With Applications written by M. Kayid and published by . This book was released on 2015 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to introduce a new family of the quadratic hazard rate distribution. This new family has the advantage of being capable of modeling various shapes of aging and failure criteria. Furthermore, some well-known lifetime distributions such as generalized exponential distribution, generalized linear hazard rate distribution, and generalized Rayleigh distribution among others follow as special cases. Some statistical and reliability properties of the new family are discussed and the maximum likelihood estimation is used to estimate the unknown parameters. Explicit expressions are derived for the quantiles. In addition, the asymptotic confidence intervals for the parameters are derived from the Fisher information matrix. Finally, the obtained results are validated using a real data set and it is shown that the new family provides a better fit than some other known distributions.
Book Synopsis Probability Distributions Used in Reliability Engineering by : Andrew N O'Connor
Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.
Book Synopsis Mathematical and Statistical Methods in Reliability by : Bo Lindqvist
Download or read book Mathematical and Statistical Methods in Reliability written by Bo Lindqvist and published by World Scientific. This book was released on 2003 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.
Book Synopsis A Comparison of Estimation Procedures for the Beta Distribution by : Huey Yan
Download or read book A Comparison of Estimation Procedures for the Beta Distribution written by Huey Yan and published by . This book was released on 1991 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parameter Estimation in Reliability and Life Span Models by : A Clifford Cohen
Download or read book Parameter Estimation in Reliability and Life Span Models written by A Clifford Cohen and published by CRC Press. This book was released on 2020-07-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an applications-oriented treatment of parameter estimation from both complete and censored samples; contains notations, simplified formats for estimates, graphical techniques, and numerous tables and charts allowing users to calculate estimates and analyze sample data quickly and easily. Anno
Book Synopsis Comparison of Estimation Techniques for the Four Parameter Beta Distribution by : David E. Bertrand
Download or read book Comparison of Estimation Techniques for the Four Parameter Beta Distribution written by David E. Bertrand and published by . This book was released on 1981 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis compares three estimation techniques in application to the beta distribution: method of moments, maximum likelihood, and minimum distance. The four parameter version of the beta distribution is used; it has two shape parameters, and upper and lower limit parameters. Linear interpolation on order statistics is used to find initial estimates of the limits. The classical estimation procedures, method of moments and maximum likelihood, are applied through procedures found in the literature. A newer technique, minimum distance, is applied for the first time to the beta distribution. Comparison of estimation techniques is accomplished using Monte Carlo analysis. Five sample sizes are considered -- 4, 8, 12, 16, and 20 -- and three pairs of shape parameters -- (3,3), (9,4), and (1,2) -- for a total of fifteen cases. One thousand samples are generated for each case, and each estimation technique is then applied to all samples.
Book Synopsis Statistical Methods for Survival Data Analysis by : Elisa T. Lee
Download or read book Statistical Methods for Survival Data Analysis written by Elisa T. Lee and published by John Wiley & Sons. This book was released on 2003-08-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Third Edition brings the text up to date with new material and updated references. New content includes an introduction to left and interval censored data; the log-logistic distribution; estimation procedures for left and interval censored data; parametric methods iwth covariates; Cox's proportional hazards model (including stratification and time-dependent covariates); and multiple responses to the logistic regression model. Coverage of graphical methods has been deleted. Large data sets are provided on an FTP site for readers' convenience. Bibliographic remarks conclude each chapter.
Book Synopsis A New Family of Quadratic Hazard Rate-Geometric Distributions With Reliability Applications by : Hassan M. Okasha
Download or read book A New Family of Quadratic Hazard Rate-Geometric Distributions With Reliability Applications written by Hassan M. Okasha and published by . This book was released on 2015 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduced the generalized quadratic hazard rate distribution. This new distribution generalizes several well-known distributions such as generalized exponential, generalized Rayleigh, and generalized linear hazard rate. Some statistical and reliability properties of the new distribution were discussed. The maximum likelihood estimates of its unknown parameters were obtained by simulation. The proposed model and other derived results were utilized for fitting real data set and it was shown that the new distribution provided a better fit than some other known distributions.
Book Synopsis Survival Analysis Using S by : Mara Tableman
Download or read book Survival Analysis Using S written by Mara Tableman and published by CRC Press. This book was released on 2003-07-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival Analysis Using S: Analysis of Time-to-Event Data is designed as a text for a one-semester or one-quarter course in survival analysis for upper-level or graduate students in statistics, biostatistics, and epidemiology. Prerequisites are a standard pre-calculus first course in probability and statistics, and a course in applied linear regression models. No prior knowledge of S or R is assumed. A wide choice of exercises is included, some intended for more advanced students with a first course in mathematical statistics. The authors emphasize parametric log-linear models, while also detailing nonparametric procedures along with model building and data diagnostics. Medical and public health researchers will find the discussion of cut point analysis with bootstrap validation, competing risks and the cumulative incidence estimator, and the analysis of left-truncated and right-censored data invaluable. The bootstrap procedure checks robustness of cut point analysis and determines cut point(s). In a chapter written by Stephen Portnoy, censored regression quantiles - a new nonparametric regression methodology (2003) - is developed to identify important forms of population heterogeneity and to detect departures from traditional Cox models. By generalizing the Kaplan-Meier estimator to regression models for conditional quantiles, this methods provides a valuable complement to traditional Cox proportional hazards approaches.
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Survival Models and Data Analysis by : Regina C. Elandt-Johnson
Download or read book Survival Models and Data Analysis written by Regina C. Elandt-Johnson and published by John Wiley & Sons. This book was released on 1980-09-17 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival analysis deals with the distribution of life times, essentially the times from an initiating event such as birth or the start of a job to some terminal event such as death or pension. This book, originally published in 1980, surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation. Four broad sections cover introductions to data, univariate survival function, multiple-failure data, and advanced topics.
Book Synopsis Survival Analysis by : John P. Klein
Download or read book Survival Analysis written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.
Book Synopsis Trends and Perspectives in Linear Statistical Inference by : Müjgan Tez
Download or read book Trends and Perspectives in Linear Statistical Inference written by Müjgan Tez and published by Springer. This book was released on 2018-02-01 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features selected contributions on a variety of topics related to linear statistical inference. The peer-reviewed papers from the International Conference on Trends and Perspectives in Linear Statistical Inference (LinStat 2016) held in Istanbul, Turkey, 22-25 August 2016, cover topics in both theoretical and applied statistics, such as linear models, high-dimensional statistics, computational statistics, the design of experiments, and multivariate analysis. The book is intended for statisticians, Ph.D. students, and professionals who are interested in statistical inference.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Counting Processes and Survival Analysis by : Thomas R. Fleming
Download or read book Counting Processes and Survival Analysis written by Thomas R. Fleming and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "The book is a valuable completion of the literature in this field. It is written in an ambitious mathematical style and can be recommended to statisticians as well as biostatisticians." -Biometrische Zeitschrift "Not many books manage to combine convincingly topics from probability theory over mathematical statistics to applied statistics. This is one of them. The book has other strong points to recommend it: it is written with meticulous care, in a lucid style, general results being illustrated by examples from statistical theory and practice, and a bunch of exercises serve to further elucidate and elaborate on the text." -Mathematical Reviews "This book gives a thorough introduction to martingale and counting process methods in survival analysis thereby filling a gap in the literature." -Zentralblatt für Mathematik und ihre Grenzgebiete/Mathematics Abstracts "The authors have performed a valuable service to researchers in providing this material in [a] self-contained and accessible form. . . This text [is] essential reading for the probabilist or mathematical statistician working in the area of survival analysis." -Short Book Reviews, International Statistical Institute Counting Processes and Survival Analysis explores the martingale approach to the statistical analysis of counting processes, with an emphasis on the application of those methods to censored failure time data. This approach has proven remarkably successful in yielding results about statistical methods for many problems arising in censored data. A thorough treatment of the calculus of martingales as well as the most important applications of these methods to censored data is offered. Additionally, the book examines classical problems in asymptotic distribution theory for counting process methods and newer methods for graphical analysis and diagnostics of censored data. Exercises are included to provide practice in applying martingale methods and insight into the calculus itself.
