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http://hdl.handle.net/10441/11039
2018-01-18T19:17:28ZTests for Exponentiality under Random Censorship Model
http://hdl.handle.net/10441/12977
タイトル: Tests for Exponentiality under Random Censorship Model
著者: 熊澤, 吉起
抄録: The aim of this thesis is to present classes of test statistics for testing exponentiality
against some alternatives with an aging property under a random censorship model. The exponential distribution is widely used in the fields of
reliability，survival analysis and life testing because of its simple nature. The feature of the exponential distribution can be described as constant failure rate function or constant mean residual life function. This property presents a good description of the life length of a unit which dose not age with time. But there are some situations that the occurrences of the initial failures and the wearout failures cause the changes of the failure rate function and the mean residuallife function. Such aging properties give rise to the correspondings for the life distribution. By using the concepts of six nonparametric models for life distributions
with the aging property，we consider six testing problems under the random censorship model.
Censored data arise naturally in many fields. The underlying test may be a destructive one so that units on test can not be re-used or，because of time and or cost constraint，we can not afford to wait indefinitely for all the units to fail. And as in a clinical trial，patients may enter the study at different times and leave，or die from a cause different from the one under investigation.
Depending on the nature of the under1ying tests，some types of censored data may be found，and we deal with the censored data observed under the random censorship model.
In Chapter 2 we give these notions on life distributions and types of censoring and we review in Chapter 3 some basic results from the theory of counting processes，martingale limit theorem and von Mises statistical functionals. Based on these mathematical foundations，we give an asymptotic theory of all proposed statistics presented in Chapters 4-6 with unified approach.
Each of the sections of these chapters discusses different testing problems under the random censorship model and proposes some classes of test statistics based on the Kaplan-Meier estimator. The asymptotic distribution of all
proposals is derived under the null hypothesis and fixed distributions. And a consistent estimator of the asymptotic variance of each statistic under the null hypothesis is construded from the theory of counting processes. The comparison of the tests on the basis of the Pitman asymptotic efficacy is also given for
some alternatives under the proportional censoring model and we recommend one test from this result for each testing problem.1989-12-31T15:00:00Z〈付属資料〉1 質問票と結果（現代近江の企業家群像）
http://hdl.handle.net/10441/11359
タイトル: 〈付属資料〉1 質問票と結果（現代近江の企業家群像）
著者: 滋賀大学中小企業研究会編1993-09-30T15:00:00Z〈付属資料〉2 滋賀県関係の文献目録（現代近江の企業家群像）
http://hdl.handle.net/10441/11358
タイトル: 〈付属資料〉2 滋賀県関係の文献目録（現代近江の企業家群像）
著者: 滋賀大学中小企業研究会編1993-09-30T15:00:00Z第11章 近江の中小企業の海外進出
http://hdl.handle.net/10441/11357
タイトル: 第11章 近江の中小企業の海外進出
著者: 冨田, 光彦1993-09-30T15:00:00Z