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Variance Estimation in Sampling Theory Using Multi-Auxiliary Variables

Thesis Info

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External Link

Author

Masood, Saadia

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2014

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/2157/1/2729S.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727656513

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This dissertation is one of the steps towards the area of estimation of population variance using multi-auxiliary variables under multi-phase sampling scheme. This work mainly considers full, incomplete and no information cases about the auxiliary variables. The importance of estimation of finite population variance under multi-phase sampling along with some previously proposed estimators are discussed in Chapter 1. In Chapters 2 and 3, some ratio-type and regression-type variance estimators for estimation of population variance using multi-auxiliary variables for single interest variable are proposed. To the solution of multi-purpose surveys, few generalized multi-variate ratio-type and regression-type variance estimators are discussed in Chapters 4 and 5 respectively. Chapters 6 and 7 highlight the solution to the problem when multi-attributes is to be dealt for the estimation of population variance under multi-phase sampling. The measurement error in variable of interest is taken into account in Chapters 8 and 9 for the same estimators proposed in Chapters 2 and 3. The expressions for minimum mean square error for all proposed estimators are also derived. Some real data sets are used for efficiency comparison.
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خلاصہ بحث

خلاصہ بحث

اللہ تعالیٰ ارشاد فرماتے ہیں کہ جو لوگ ایمان لائے اور نیک اعمال کرتے ہیں اور ان کے مقابلے میں جو لوگ زمین میں فساد پھیلاتے ہیں اپنے معاملات کی درستگی نہیں کرتے اللہ کے بتائے ہوئے قوانین کی پاسداری نہیں کرتے ، اسلام نے جن کاموں کرنے سے منع کیا ہے اس سے باز نہیں آتے اسے نہیں چھوڑتے یا زمین میں سرکشی اور فساد کو فروغ دیتے ہیں تو ایسے لوگوں کے لئے دردناک عذاب ہے، یہ لوگ کبھی بھی ایمان والے لوگوں کے برابر نہیں ہوسکتے۔

 قرآن مجید میں زندگی گزارنے کے لئے لیے تمام قسم کے احکامات موجود ہیں ۔اس فصل میں معاملات کے متعلق آیات استفہام تفسیر تفہیم القرآن کی روشنی میں بیان کی گئی ہیں جو کہ درج ذیل ہیں۔

 سورۃ المائدہ آیت نمبر ۹۱ ، سورۃ التوبہ آیت نمبر ۱۱۱ ، سورہ الرعدآیت نمبر ۳۱،۳۳، سورۃ الحج آیت نمبر ۶۵ ،سورہ ص آیت نمبر۲۸،سورۃ الزخرف آیت نمبر ۱۹،۲۱ ،سورہ الجاثیہ آیت نمبر ۲۱،۳۰ ،سورۃ الحجرات آیت نمبر ،۱۲ ، سورہ التکویر آیت نمبر ۹ ،سورہ الضحیٰ آیت نمبر ۶ شامل ہیں ۔



[[1]]         ابویحییٰ، قرآن کا مطلوب انسان، انذار پبلیشرز،۲۰۱۸، ص۱۰۔

[[2]]         نمایش کامل،قرآن کریم کا تصور انسانیت، جامعہ المصطفی العالمیه ،۲۰۱۹،ص ۹۰۔

https://iranjournals.nlai.ir/handle/۱۲۳۴۵۶۷۸۹/۱۷۱۲۲

[[3]]         القرآن ، ۵: ۹۱

[[4]]          الشیبانی، احمدابن حنبل، المسند، موسسۃ الرسالہ، بیروت، ۲۰۰۱ء، حدیث: ۵۷۱۶۔

[[5]]         الشیبانی،المسند، حدیث:۴۶۴۵۔

سورۃ الحجرات کے تناظر میں اسلامی معاشرے کے خدوخال

In this article, some basic elements of Islamic society have been clarified in the light of Surah Al Hujurāt.  Just as a solid foundation of a building is essential for a strong building, so a strong foundation is essential for a successful society and a strong foundation of an Islamic society has its principles, which are derived from the Qur'an and Hadith. Since these principles are important for the well-being and development of the Muslim society, their observance is necessary for the Muslim society.  This article presents a picture of an ideal society in the light of Surah Al Hujurāt. Have presented the following topics in this article:  Role of leadership and its elements, unity of Islamic society, ethics and beliefs are some of the principles discussed in this article. The research concludes that the principles stated in Surah Al Hujurāt play a vital role in establishing a stable Islamic society.

Determinants and Outcome of Oesophageal Caustic Stricture Interventions Among Children at French Medical Institute for Mothers and Children, Kabul, Afghanistan

Background: Caustic Substance Ingestion (CSI) is still one of the significant problems more likely in developing countries, as an incidence of more than 200,000 of caustic exposures has been reported in National Poison Data System at 2008. The incidence of oesophageal caustic stricture is about 10 to 30 % after CSI worldwide. Aim: This study aimed to find out the demographic characteristics of CSI and its outcome. Moreover, this study will determine the outcome of the oesophageal caustic stricture and its interventional procedures among children at FMIC, Kabul, Afghanistan. Methodology: Retrospective case series study design was conducted at French Medical Institute for Mothers and Children, Kabul, Afghanistan. Records of patients admitted at surgical department from 2010-2016 with history of caustic substance ingestion reviewed and total of 63 patients based on inclusion and exclusion criteria enrolled in the study. Chi square test, t-test and co-relation was run to find out the associations. Result: Out of all 63 patients, 36.5% (23 patients) were male and 63.5% (40 patients) were female. The oldest patient was 14 years old and the youngest one was 1-year-old with the mean age of 4.36+ 3.101. About 57.1% were from North West of Afghanistan which the majority of them were from Balkh province. The second highest number of these patients were from Kabul province 25.4%, and 7 % of these patients were from the west of Afghanistan all from Herat and 6.3% were from the south east. CSI in 2 of cases it has been recorded as acid ingestion who was also accompanied with pyloric stenosis and the majority of cases (71.9%) were alkali which is mostly used as whitening liquid (Vitex) for clothes. But families could not describe the type of ingested material in 23.4% of cases so it has been recorded under the name of caustic agent.XV In 15 patients (23%) dilatation was not successful as patients got complicated that 9 was failed, in 6 cases dilatation was done but then in 1 of these patients developed pneumomedistinitis and 5 of them developed pneumothorax during first 24 hours post dilatation which then underwent of gastrostomy or gastrostomy+ oesophagoplasty. After cross tabulation of gender, the P- value of gender and complications stayed 0.006 which is highly significant, showing association, meaning that most of our female patients got complicated. The mean frequency of dilatation of different gender showed P- value = 0.06, which is again highly significant.