Modified goodness of fit tests based on ranked set sampling / Heba Fathy Mohamed Ibrahim Nagy ; Supervised Abdallah Mohamed Abdelfattah , Amal Soliman Hassan

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Heba Fathy Mohamed Ibrahim Nagy

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TextLanguage: English Publication details: Cairo : Heba Fathy Mohamed Ibrahim Nagy , 2014Description: 145 Leaves ; 30cmOther title:

إختبارات جودة التوفيق المعدلة فى ضوء معاينة المجموعة المرتبة [Added title page title]

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Dissertation note: Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics Summary: An important problem in statistics is to obtain information about the form of the population from which a sample is drawn. Goodness of fit test is applied to determine how well the observed sample data fits some proposed model. One class of goodness of fit tests that can be used consists of tests based on the distance between the empirical and the hypothesized distribution functions. Ranked set sampling proposed by mcIntyre (1952) is a useful sampling technique alternative to simple random sampling that has been receiving considerable attention in the statistics literature. Through the last two decades, the goodness of fit tests based on data collected via ranked set sampling techniques and its modifications have taken little attention of the authors. Therefore, the main aim of this thesis is to create tables of critical values of some proposed goodness of fit test statistics for Weibull distribution based on simple random sample and moving extreme ranked set sample. Based on two types of moving extreme ranked set sample, parameters of the Weibull distribution are estimated using the method of maximum likelihood. Tables of critical values are obtained for the weibull distribution with unknown parameters under simple random sample as well as the two types of moving extreme ranked set sample

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Holdings
Item type	Current library	Home library	Call number	Copy number	Status	Date due	Barcode
Thesis	قاعة الرسائل الجامعية - الدور الاول	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.18.03.M.Sc.2014.He.M (Browse shelf(Opens below))		Not for loan		01010110064955000
CD - Rom	مخـــزن الرســائل الجـــامعية - البدروم	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.18.03.M.Sc.2014.He.M (Browse shelf(Opens below))	64955.CD	Not for loan		01020110064955000

Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics

An important problem in statistics is to obtain information about the form of the population from which a sample is drawn. Goodness of fit test is applied to determine how well the observed sample data fits some proposed model. One class of goodness of fit tests that can be used consists of tests based on the distance between the empirical and the hypothesized distribution functions. Ranked set sampling proposed by mcIntyre (1952) is a useful sampling technique alternative to simple random sampling that has been receiving considerable attention in the statistics literature. Through the last two decades, the goodness of fit tests based on data collected via ranked set sampling techniques and its modifications have taken little attention of the authors. Therefore, the main aim of this thesis is to create tables of critical values of some proposed goodness of fit test statistics for Weibull distribution based on simple random sample and moving extreme ranked set sample. Based on two types of moving extreme ranked set sample, parameters of the Weibull distribution are estimated using the method of maximum likelihood. Tables of critical values are obtained for the weibull distribution with unknown parameters under simple random sample as well as the two types of moving extreme ranked set sample

Issued also as CD

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