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Exploratory Functional Flood Frequency Analysis and Outlier Detection in Pakistan

Thesis Info

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Author

Hussain, Insia

Program

PhD

Institute

University of Karachi

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Statistics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12088/1/insia%20hussain%20statistics%202019%20uok%20karachi%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676724702437

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The flood risk prevention and the effective water resources management and planning require flows of a river to be recorded continuously and analysed at considered barrages or dams. For a given barrage and dam the flow temporal variation over a certain span of time can graphically be represented by a hydrograph. The hydrograph provides information which is essential for determining the frequencies and severity of flood events. The major characteristics of flood hydrograph are duration (d), peak (p) and volume (v) which are obtained from the components of the hydrograph. Traditional approaches for frequency analysis of hydrology considered these features individually in a context of the univariate study. These features were considered jointly in a multivariate study so that the structure of their dependency could be encountered. Hence, the univariate approaches are not reliable enough to represent the phenomenon and cause reducing the accuracy of risk estimation whereas multivariate approaches contribute in improving the accuracy of risk estimation by considering joint features and dependency structure between characteristics of a flood. However, all the preceding approaches carried the aim of analysing the number of flood characteristics and ignored the comprehensive information provided by the hydrograph. Present research carries an object which contains a framework to introduce the hydrographs as a functional data curve for frequency analysis. This context uses the whole hydrograph as an infinite dimensional observation so that more efficient and effective estimates regarding the risk of associated extreme events can be obtained. The contribution of the proposed approach is to address the problem usually encountered in hydrology regarding incomplete data by exhaustively employing complete information produced by the hydrographs. A number of tools for the analysis of functional data (AFD) are introduced and applied to frequency analysis of flood (FAF) in order to execute exploratory analysis which is an initial step towards comprehensive functional FAF. The methods employed as a first step of exploratory analysis are a visualization of data, measures of location and scale, principal component analysis and detection of outliers are illustrated using real-world flood data of barrages and dams on the River Indus of Pakistan.
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۲۰۔ ہونٹ ناز پرور کے

ہونٹ ناز پرور کے

اس ناز پرور کے ہونٹ

جیسے کسی ماہر سنگ تراش نے نفاست سے تراشے ہوں

میں دن بھر جملوں کی ترا ش خراش میں مصروف رہتاہوں

کاش ان تراشیدہ ہونٹوں کو لفظوں کا پیراہن دے سکوں

جن پہ سرسوں کے پھولوں کی طرح مسکراہٹ پھوٹتی ہے

تو صبح کی پو پھوٹنے کا گمان ہوتا ہے

بہار نکہتوں کا کاسہ لیے اُن کی دریوزہ گری کرتی ہے

لفظ ان کی حلاوت سے رعنائی پا کر نکلتے ہیں

مگر ان ہونٹوں پر خزاں رسیدگی

Maulana Muhammad Ali - A Strategic Point in Indo-Muslim Politics (Comment)

‘A great man’, says Justice Oliver Wendell, Jr, ‘represents a great ganglion in the nerves of society, or to vary the figure, a strategic point in the campaign of history, and part of his greatness consists in being there’. (italic ours). And Maulana Muhammad Ali was one such nerve-centre in Indo-Muslim society during the second and third decades of the twentieth century. Indeed, he was one such strategic point in the onward march of Indo-Muslim politics that eventually found culmination and crystallization in the emergence of Pakistan. Actually no one else represented the tone, tenor and temper of the romanticist, Khilafatist era (in the 1910s and 1920s) as he did in his hectic life, his revolutionary activities his numerous discomfitures, and in his tragic death. Whether he led a hectic life, whether he took recourse to a revolutionary path, or whether he goaded himself to die a tragic death outside the frontiers of his motherland cataclysmically, in whatever he did, he, consciously or unconsciously, carried forward the campaign of Indo-Muslim history: the redemption of Islam in India and abroad. In other words, he stood, above all, for an honourable existence for Muslims in India and in the rest of the troubled Muslim world in the existential crisis that convulsed Muslim India and that world.

A Comparative Study of Student Assessment Practices of Public and Private Sector at Elementary Level

The general purpose of the study was to examine the current student assessment practices in the private and public sector. Specifically, the aim of the study was to gain an understanding of the extent to which teachers use student assessment practices in their classroom. The study resulted in moderately through description of these teachers' assessment practices at elementary level in public and private sector (which are following Cambridge assessment practices. The study was based on student assessment practices at the elementary level in public and private sector. Objectives of the study are to (1) Explore the student assessment practices of public and private schools. (2) Find out strength and limitations of student assessment practices. (3) Compare student assessment practices of public and private schools at the elementary level. The Population of the study comprised all the public and private schools in Rawalpindi. The sample was taken from five schools from private sector and five schools from public sector. The respondents were 100 teachers, and 200 students which were selected randomly. Two questionnaires were designed by the researcher for data collection one for teachers and one for students. There were seven hypotheses formulated and tested by applying independent sample t- test at 0.05 level of confidence to find out, the significant difference between the mean scores of independent variables like sector. The findings of the study showed that the student assessment practices of private sector are better than public sector.