Tests of Hypotheses and Estimation for Mixtures of Two Normal Distributions PDF Download
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Author: Charles Clark Brown
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 98
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Book Description
Author: Charles Clark Brown
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 98
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Book Description
Author: Shehchong Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 296
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Book Description
Author: Charles Clark Brown
Publisher:
ISBN:
Category :
Languages : en
Pages : 98
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Book Description
Author: Moti Lal Tiku
Publisher: New Age International
ISBN: 8122415563
Category : Estimation theory
Languages : en
Pages : 22
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Book Description
In statistical theory and practice, a certain distribution is usually assumed and then optimal solutions sought. Since deviations from an assumed distribution are very common, one cannot feel comfortable with assuming a particular distribution and believing it to be exactly correct. That brings the robustness issue in focus. In this book, we have given statistical procedures which are robust to plausible deviations from an assumed mode. The method of modified maximum likelihood estimation is used in formulating these procedures. The modified maximum likelihood estimators are explicit functions of sample observations and are easy to compute. They are asymptotically fully efficient and are as efficient as the maximum likelihood estimators for small sample sizes. The maximum likelihood estimators have computational problems and are, therefore, elusive. A broad range of topics are covered in this book. Solutions are given which are easy to implement and are efficient. The solutions are also robust to data anomalies: outliers, inliers, mixtures and data contaminations. Numerous real life applications of the methodology are given.
Author: MICHAEL JOSEPH SYMONS
Publisher:
ISBN:
Category : Bayesian statistical decision theory
Languages : en
Pages : 420
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Book Description
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 574
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Book Description
Author: Chin Fei Hsu
Publisher:
ISBN:
Category : Analysis of variance
Languages : en
Pages : 178
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Book Description
Derives and discusses properties of three approaches to test the hypothesis of finite proper mixtures of distributions. Two of them are compared for the case of two normal components against a single normal alternative. The third is investigated by simulation studies.
Author: Henry C. Thode
Publisher: CRC Press
ISBN: 9780203910894
Category : Mathematics
Languages : en
Pages : 506
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Book Description
Describes the selection, design, theory, and application of tests for normality. Covers robust estimation, test power, and univariate and multivariate normality. Contains tests ofr multivariate normality and coordinate-dependent and invariant approaches.
Author: S. P. Verrill
Publisher:
ISBN:
Category : Confidence intervals
Languages : en
Pages : 60
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Book Description
For normally distributed populations, we obtain confidence bounds on a ratio of two coefficients of variation, provide a test for the equality of k coefficients of variation, and provide confidence bounds on a coefficient of variation shared by k populations. To develop these confidence bounds and test, we first establish that estimators based on Newton steps from [the square root of n]-consistent estimators may be used in place of efficient solutions of the likelihood equations in likelihood ratio, Wald, and Rao tests. Taking a quadratic mean differentiability approach, Lehmann and Romano have outlined proofs of similar results. We take a Cramér condition approach and make the conditions and their use explicit. Keywords: coefficient of variation, signal to noise ratio, risk to return ratio, one-step Newton estimators, Newton's method, [the square root of n]-consistent estimators, efficient likelihood estimators, Cramér conditions, quadratic mean differentiability, likelihood ratio test, Wald test, Rao test, asymptotics.
Author: Ning-Zhong Shi
Publisher: World Scientific
ISBN: 9812814361
Category : Science
Languages : en
Pages : 320
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Book Description
This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.
