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Variance Estimation in Sampling Theory Using Multi-Auxiliary Variables

Thesis Info

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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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مولاناحاجی معین الدین ندوی

مولانا حاجی معین الدین ندوی
مصنف خلفائے راشدین
افسوس کہ ۵؍ ربیع الثانی ۱۳۶۰؁ھ کو ہماری جماعت کے ایک لائق فرد مولانا حاجی معین الدین صاحب ندوی صدر مدرس مدرسۂ اسلامیہ شمس الہدیٰ پٹنہ نے تقریباً پچاس ۵۰ برس کی عمر میں وفات پائی انہوں نے اپنی پوری تعلیم دارالعلوم ندوۃ العلماء میں حاصل کی اور ۱۹۱۲؁ء میں درجہ تکمیل سے فراغت پائی، ۱۹۱۴؁ء کے آخر میں دارالمصنفین کے قیام پر وہ دارالمصنفین کے رفیق منتخب ہوئے اور سلسلہ سیرالصحابہ کی پہلی اور دوسری جلد خلفائے راشدین اور مہاجرین حصہ اول لکھی، ایک سال کے بعد یہاں سے کتب خانہ ندوہ کی ترتیب کے لئے لکھنؤ گئے اور اس کام سے ان کو ایسی دلچسپی ہوئی کہ بوہار امپریل لائبریری کلکتہ میں ترتیب فہرست کے کام پر مقرر ہوگئے اور وہاں سے اورینٹل لائبریری بانکی پور پٹنہ کی عربی کتابوں کی ترتیب فہرست کے کام پر لگائے گئے، اور کئی جلدیں بڑی قابلیت سے انگریزی میں مرتب کیں اور گورنمنٹ کی طرف سے چھپیں، اس جگہ کی تخفیف ہونے پر دائرۃ المعارف حیدرآباد میں قدیم ہندوستانی تاریخی مقامات کا ایک جغرافیہ عربی زبان میں ترتیب دیا جو دائرہ کی طرف سے چھپا ہے، یہاں سے نکل کر وہ چند روز رامپور کی سرکاری لائبریری میں مقرر ہوئے اور آخر صوبہ بہار کی مشہور سرکاری عربی درسگاہ مدرسہ شمس الہدیٰ کے پرنسپل مقرر ہوئے اور اسی خدمت پر وفات پائی۔
وہ نہایت خاموش طبیعت ملنسار متواضع اور نیک دل تھے، وطن صوبہ بہار کے دو مشہور گاؤں گیلانی اور استھاواں میں تھا، نوجوانی ہی میں جب وہ دارالعلوم میں پڑھتے تھے، حج سے شرف ہوئے تھے، اسی لئے وہ ہماری جماعت میں حاجی صاحب کے نام سے ایسے مشہور و متعارف تھے کہ یہ ان کے اصلی نام کا جز بن گیا تھا، انگریزی تعلیم صرف ندوہ میں...

The Scope of the Death Penalty under the Sharia Law

The death penalty is one of the core issues which have been widely discussed around the world. As capital punishment has been the part of the Islamic legal system, the Quran and hadith explicitly established the penalties in various serious crimes. A majority of the world‟s nations has abolished the death penalties from their constitutions, but most of the Islamic countries firmly believe in this system. One root cause of it is that the Holy Quran and hadith provide the justification for capital punishment. Further, several Islamic countries where Islam has the status of the state religion, allow the application of the death penalty. This work has prompted us to expose that the Islamic penal code is well-established in the legal and political systems of Islamic countries and the impact of religious traditions have an indirect impact on the implication of the death sentence. Since the death penalty is even now broadly established in Muslim countries, there is also increasing support in several of these states to abolish of the death penalty. Some secular activists have distorted the Quranic verses dealing with the death penalty to support their instance. For different reasons, they claim that political governments may use the death penalty as cover to suppress their political rivals. Our findings reveal that secular propaganda against the Islamic penal system is based on wrong assumptions and a result of Islamophobia. This research article can provide a logical discussion on the issue of capital punishment, rooted in the true spirit of the Islamic punishment system.

Effect of Oxytocinonmilkcomposition of Sahiwal Cowat Different Lactation Stages

The present study was planned to investigate the effect of oxytocin administration to Sahiwal cow, local breed of Pakistan on milk composition with respect to lactation stages (mature milk, peak production and end production). Sixteen cows were divided into two groups. One group was subjected to intramuscular injection of oxytocin (20IU) and other group kept as control. Milk samples were collected from both groups at different lactation stages and evaluated for various parameters. The pH, fat, protein, total solids and ash increased, lactose and acidity decreased, whereas solid not fat were not affected by the lactation stages. Oxytocin administration to cows resulted in decreased of milk fat, lactose, protein, total solids, solids not fat and increased in ash content. Phosphorous and sodium concentration increased while copper, zinc and potassium decreased with lactation stages. Magnesium, calcium and chloride content first decreased at peak production stage then increased at the late lactation stage. Administration of oxytocin also resulted in increased concentration of sodium, chloride and decreased in potassium content at all lactation stages whereas increase in copper content in oxytocin treated milk at end production was observed. The concentration of fatty acids (from C4:0 to C14:0) increased upto peak production and then decreased at the end of lactation stages. The palmatic acid (C16:0) increased while stearic acid (C18:0) and oleic acid (C18:1) decreased with the progress of lactation stages. There was no effect of oxytocin on the C4:0, C8:0, C10:0, C14:0 and C18:0 fatty acids while C6:0, C12:0, C16:0 and C18:1 fatty acid decreased on oxytocin administration. Electrophoretic study indicated maximum intensity of casein in milk at mid lactation stage, whereas whey content was found to be the highest at end production stage of milking. Casein (as1, as2 and β-CN) fractions and whey protein fractions (Ig, BSA, β-Lg and α-La) showed lighter bands in oxytocin injected milk as compared to control. Lactoperoxidase and acid phosphatase decreased while lipase activity increased with the progress of lactation. Alkaline phosphatase activity first increased then decreased at the end of lactation. Thiocyanate content also increased with lactation. Acid phosphatase increased and alkaline phosphatase and lipase decreased while there was no effect on the lactoperoxidase activity when the oxytocin was injected for a longer period. Thiocyanate content increased with the administration of oxytocin.