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A statistical inference for some distributions based on different types of censored samples / Mahmoud Hamed Mahmoud Abumoussa ; Supervised Laila F. Abdelell , Mostafa M. Mohie Eldin

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Mahmoud Hamed Mahmoud Abumoussa , 2019Description: 152 P. : charts ; 25cmOther title:
  • الإستدلال الإحصائى لبعض التوزيعات إعتماداً على أنواع مختلفة من العينات المبتورة [Added title page title]
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Dissertation note: Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics Summary: Lifetime testing play an important role in industry and in many fields, and due to the high cost and the long time that the lifetime tests consume, statisticians developed a different types of censored samples, where the experimenter can terminate the experiment before all units are failed. There are many different types of censoring schemes as the conventional Type-I and Type-II censoring, the progressive censoring and many different types of censoring schemes will be discussed in the coming chapter. The main aim of this thesis is develop the methods of estimation and prediction to make a statistical inference for some lifetime distributions as Gompertz distribution and inverted Kumaraswamy distribution based on different types of censored samples. In Chapter 1, we give a brief introduction to the basic definitions of statistical inference and the probability lifetime distributions. Also an overview is proposed for different types of censored samples. In Chapter 2, we obtain the maximum likelihood (ML) and Bayesian estimators for the parameters of Gompertz distribution based on Type-II progressively hybrid censored samples. The one-sample Bayesian prediction intervals have been constructed. Also we obtained the sufficient and necessary condition for the existence and uniqueness of the MLEs
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Item type Current library Home library Call number Copy number Status Date due Barcode
Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.Ph.D.2019.Ma.S (Browse shelf(Opens below)) Not for loan 01010110078888000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.Ph.D.2019.Ma.S (Browse shelf(Opens below)) 78888.CD Not for loan 01020110078888000

Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics

Lifetime testing play an important role in industry and in many fields, and due to the high cost and the long time that the lifetime tests consume, statisticians developed a different types of censored samples, where the experimenter can terminate the experiment before all units are failed. There are many different types of censoring schemes as the conventional Type-I and Type-II censoring, the progressive censoring and many different types of censoring schemes will be discussed in the coming chapter. The main aim of this thesis is develop the methods of estimation and prediction to make a statistical inference for some lifetime distributions as Gompertz distribution and inverted Kumaraswamy distribution based on different types of censored samples. In Chapter 1, we give a brief introduction to the basic definitions of statistical inference and the probability lifetime distributions. Also an overview is proposed for different types of censored samples. In Chapter 2, we obtain the maximum likelihood (ML) and Bayesian estimators for the parameters of Gompertz distribution based on Type-II progressively hybrid censored samples. The one-sample Bayesian prediction intervals have been constructed. Also we obtained the sufficient and necessary condition for the existence and uniqueness of the MLEs

Issued also as CD

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