Document Details

Document Type : Thesis 
Document Title :
A Discrete General Class of ContinuousDistributions
التوزيع المنفصل لفصل من التوزيعات الاحتمالية المتصلة
 
Subject : Mathematics Statistical 
Document Language : English 
Abstract : Quality and validity of products of all kinds become very important to pay attention so that they can withstand the competition in the market due to the multiplicity of forms and sources of products. It is well known that the consumer cares about the quality of industrial products of all types which are displayed in markets. They should be of high efficiency and longer life. In concordance with the requirements of the consumer, factory owners seek desperately to attract consumers to their products. The most important result of this research is the emergence of the so-called guarantee certificates that have shared preference among consumers for alternative warranty-free product. Therefore it is very necessary to shed light on how to determine the appropriate duration of guarantee certificates accurately, otherwise the error identified could cost companies huge losses. Determining of the appropriate duration of such certificates requires the collection of information about the product through the design of the so-called lifetesting experiments or tests of Reliability. This should be done before sending product to markets because the information obtained from such experiments – in addition to their importance in determining the duration of guarantee certificates - can be used in other fields. For instance, in pharmaceutical studies, we would like to design life-testing experiments on drugs to determine their effectiveness duration and expiry date. Indeed, there are so many areas where designing such experiments is of paramount importance. In life-testing experiments, sometimes it becomes impossible to measure the life of a product or its expiry date by continuous scale, like in turning a device on and off during its lifetime, because turning on and off is a random separate variable and in some cases validity of the data is measured by the number of operating times. As for survival analysis, it is possible to record the number of days remaining for lung cancer patients vi During the treatment period. In this context, standard discrete distributions like geometric and negative binomial have been employed to model life time data. In this thesis a general class of continuous distributions is considered. Furthermore, a generated discrete life distribution based on a continuous distribution, by using the general approach of discretizing a continuous distribution. Several discrete lifetime distributions are proposed with their properties and some measures of reliability, such as discrete modified Weibull extended, discrete modified Weibull type I, discrete modified Weibull type II, discrete Chen (2000), and discrete linear failure rate distributions. A Mathcad simulation study is conducted to the properties and the distributional characteristics of the new discrete distributions. The performance of the estimators of the parameters is presented 
Supervisor : Sohila Hamed Elgayar 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Number Of Pages : 146 
Co-Supervisor : Mahmoud Abdul Mo'men Atallah 
Added Date : Wednesday, October 23, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
تغريد عبد الرحمن المسعودAl-Masoud, Taghreed AbdulrahmanInvestigatorMaster 

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