The properties of l-moments compared to conventional moments

مقدم أطروحة جامعية

Hamdan, Muhammad Sulayman

مشرف أطروحة جامعية

Rifi, Muhammad I.

الجامعة

الجامعة الإسلامية

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

فلسطين (قطاع غزة)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2009

الملخص الإنجليزي

In this thesis, we survey the concept of L-moments.

We introduce the dentition of L-moments and the probability weighted moments (PWMs) and then we expressed the L-moments by the use of the probability weighted moments.

Also, we established the relation between the L-moments and the order statistic.

Moreover, we introduced some of the properties the L-moments especially the property that, if the mean of the distribution exists, then all of the L-moments exist and uniquely dine the distribution.

That is, no two distinct distributions have the same L-moments.

This property is not always valid in the conventional moments.

Moreover, wend the L-moments for some distributions.

Later, we introduce estimation for the L-moments and probability weighted moments and then we used them in estimating the parameters of some distributions as the Uniform distribution, the Exponential distribution, Generalized Logistic distribution and Generalized Pareto Distribution.

Moreover, we introduce the generalized lambda distribution (GLD) and wend the (PWMs) and L-moments for (GLD).

Also, we dined the Censored Data which is divided into two cases : I-Right censoring and II-Left censoring and then wend the partial property weighted moments (PPWMs) for both cases.

Finally, wend the type B PPWMs for GLD.

التخصصات الرئيسية

الرياضيات

الموضوعات

• الإحصاء الرياضي

عدد الصفحات

124

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-300259