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DEPARTMENT BROCHURE

B R O C H U R E D E P A R T M E N T...We lco m e t o t h e De pa rt m e n t o f S t a t is t ics a t Un iv e rs it y o f De lh i. We s t a rt e d o u r jo u rn e y in t h e y e a r

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Page 1: B R O C H U R E D E P A R T M E N T...We lco m e t o t h e De pa rt m e n t o f S t a t is t ics a t Un iv e rs it y o f De lh i. We s t a rt e d o u r jo u rn e y in t h e y e a r

DEPARTMENTBROCHURETWO Y E AR PO S T GRADUA T E P ROGRAMME

DE PAR TMEN T O F S T A T I S T I C S

UN I V E R S I T Y O F DE LH I

2 0 1 9 - 2 0 2 1

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4. Faculty Profile

5. Societies

1. From the Head's Desk

2. About Us

3. Infrastructure

TABLE OFCONTENTS

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6. Course Structure

7. Course Highlights

8. Focus Area

9. Placement Records

10. Past Recruiters

11. Contact Us

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Head of the Department'sDesk

From the

Prof. Gurprit Grover

Dear Reader, Welcome to the Department of Statistics at University of Delhi.We started our journey in the year 1973. Over the last fourdecades , we have grown our expertise and competence in thecore Statistics curriculum and research. Needless to say, thisprogram has stood the test of time and has been accorded itsdue place in the corporate world as well as academic. Throughthis brochure we attempt to present a sketch of theDepartment and its activities. Further , the curriculum taughthas a wide range of applications in the industry. The primaryfocus of our curriculum is designed to impart technical know-how to students, promote their problem solving skills andmake them ready to implement the theory. The curriculum isdesigned to provide a wide spectrum of options to thestudents to pursue their interests both in applied andtheoretical aspects of the subject. The course contents areperiodically updated for introducing newer subjects andtechnical developments in the subject. Our department looksforward to contribute in solving challenges faced by peoplewith active participation from all sections of society. Thank you for visiting us.Prof. Gurprit GroverHead of the Department, Department of Statistics

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About us

The University of Delhi is considered to be one of the best multidisciplinary schools in India. Founded in 1922, it is one of thefew top universities in the country that focuses on multifaceted education. It offers courses in 86 departments, spreads acrosstwo campuses in Delhi, enrolling over 2 lakh students every year. In the QS India University Rankings 2018-19, the universityoccupies its position in top 10 universities. The rankings are based upon four criteria: internationalisation, teaching,employability, and research.

The Department of Mathematical Statistics was established in August 1973, with Prof. H. C. Gupta as its first Head ofDepartment. Although the teaching of M.A. in Mathematical Statistics had been introduced as early as July 1957 at the initiativeof Professor Ram Behari as part of a development program introduced by the Department of Mathematics. Ever since itsinception, a strong commitment to excellence in teaching and research along with a practical approach towards education hasattracted talented students from all over the country, who have later gone on to make significant contributions in the field ofStatistics. In 1971, the M. Sc. degree in Mathematical Sciences was introduced. The Department currently offers post-graduate(M.A./M.Sc.), M.Phil. and Ph.D. programmes in Statistics. The Masters programme offers rigorous training in statistical methodscoupled with specialisations and exposure to latest state-of-the-art programming languages and computer software which aimto provide students with a profile suited for both, the industry and the academia. The selection procedure for the post-graduate programme consists of an entrance examination, based on statistical fundamentals and mathematicalunderstanding, held all over the country.

University of Delhi

Department of Statistics

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Infrastructure

LibraryThe Central Science Library’s extensive resources are an invaluable aid

to both students and faculty. The library houses more than two titlesand subscribes to over 500 nationally and internationally acclaimed

magazines, periodicals and journals with archives of over two decades.The department also has its own library and internet facility.

Computer LabsThe Computer Labs of our department have well-equippedcomputing resources and extremely competent faculty. Theyprovide a thorough hands-on experience of data handling andstatistical problem solving. Students are trained in a variety ofcomputer languages and statistical by the industries today.

Seminar RoomsSeminar rooms are made available to encourage discussion, enablegroup work and other collaborative learning projects. These rooms

are equipped with modern audio-visual facilities including LCDprojectors and microphone sets for an enriched experience of an

e-classroom.

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FACU

LTY MEM

BERS

Prof. Gurprit GroverProfessorQualification: Ph.D.,  University ofDelhiField: Biostatistics, Statistical QualityControl, Demography and Reliability

HEAD OF THE DEPARTMENT

Prof. Poonam SinghProfessorQualification: Ph.D.,  University ofDelhiField: Design of Experiments,Generalized Linear  Models,Optimization, Statistical QualityControl and Operations Research

Dr. Ranjita PandeyAssistant ProfessorQualification: Ph.D.,  University ofLucknowField: Demography, Inferential Reliability, Econometrics, Time SeriesAnalysis, Explanatory Data

Dr. Taruna KumariAssistant Professor (on Adhoc basis)Qualification: Ph.D.,  University ofDelhiField: Reliability and Life Testing, Linear Algebra, Multivariate Analysis,Generalized Order  Statistics,Language - C and R , Software - SPSS

Dr. Renu GargAssistant Professor (on Adhoc basis)Qualification: Ph.D.,  MaharshiDayanand UniversityField: Bayesian Inference, Reliabilityand Life Testing Experiment

Ms. Kanika VermaAssistant Professor (on Adhoc basis)Qualification: M.Phil., University ofDelhiField: Generalized Order Statistics,Record Values, Mathematical Analysis,Linear Algebra, Econometrics , TimeSeries

Dr. Zuber AkhterAssistant Professor (on Adhoc basis)Qualification: M.Phil, Ph.D., AligarhMuslim University, AligarhField: Statistical Inference,OrderStatistics Records, Generalized OrderStatistics

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SOCIETIES

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Credence: The Placement CellThe main responsibility of Credence is to facilitate the Summer Internship andFinal Placement process held at the Department. From mentoring thestudents through mock aptitude tests to providing them with the Companies’recruitment criteria, managing the profile database of the students along withpushing for industry-student interactions through on-campus visits andpresentations are some of the tasks that the Placement concern themselveswith.

SOCI

ETIE

S

Creation and management of online magazine, blog, Department Facebookgroup and Instagram handle.Organization of dance, drama and music events, cloth collection drives, blooddonation camps,  Environmental awareness programs and other communityand social services programs, Alumni Meets, workshops, and special lectures.Seminars by inviting eminent speakers from our own university and other institutions.Conceiving and working towards organization of the Department Fest.Educating the youth about Gender Equality by conducting GenderSensitization programs.

UDAAN: The Socio-Cultural Cell of Department of Statistics, University of Delhiwas formed in the year 2016. It aims at achieving the following goals through itsdifferent wings and engines:

UDAAN: The Socio-Cultural Cell

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The Heritage Club of the Department of Statistics, University of Delhi was formed withthe vision  of reviving Indian Culture and its prominent historic significance among thestudents. In regards to this, a talk on importance of Yoga and meditation by YogiHemanti Mukhopadhyay in association with SPIC MACAY society was organized inorder to help students understand the value of incorporating an ancient practice ofphysical, mental and spiritual disciplines into their lives. This talk was also followed byan implementation session by the speaker. Inspired by the Fit India movement, a“Sports Meet” was organized wherein traditional games like kho-kho tug of war, wasconducted in the department. India , home to numerous heritage sites, an annual“Heritage Walk” is conducted. This walk is a one day visit to monuments, archeologicalparks etc. As part of this event, a walk to Tughlaqabad Fort and Mehrauliarcheological has been organized so far. Apart from these, we have organized aRangoli competition on Holi, and to commemorate the harvest festival of Punjab, abonfire and dance was organized on Lohri.

The Heritage Club of the Department of Statistics, University of Delhi was formed withthe vision  of reviving Indian Culture and its prominent historic significance among thestudents. In regards to this, a talk on importance of Yoga and meditation by YogiHemanti Mukhopadhyay in association with SPIC MACAY society was organized in orderto help students understand the value of incorporating an ancient practice of physical,mental and spiritual disciplines into their lives. This talk was also followed by animplementation session by the speaker. Inspired by the Fit India movement, a “SportsMeet” was organized wherein traditional games like kho-kho tug of war, was conductedin the department. India , home to numerous heritage sites, an annual “Heritage Walk” isconducted. This walk is a one day visit to monuments, archeological parks etc. As part ofthis event, a walk to Tughlaqabad Fort and Mehrauli archeological has been organizedso far. Apart from these, we have organized a Rangoli competition on Holi, and tocommemorate the harvest festival of Punjab, a bonfire and dance was organized onLohri.

The Heritage ClubSO

CIET

IES

Research Activity Cell

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Course Structure

IAnalysisProbability TheoryStatistical MethodologySurvey Sampling

Data Analysis - I (using Excel)Statistical Computing - I (using Clanguage)

THEORY:

PRACTICALS:

Linear AlgebraStochastic ProcessesStatistical Inference - IDesign of Experiments

Data Analysis - II (using Excel)Problem Solving using C language

THEORY:

PRACTICALS:II

Statistical Inference - IIMultivariate AnalysisGeneralised Linear Models

Bio - StatisticsOperational ResearchNon - Parametric InferenceFinancial Statistics

Statistical Computing- II (using Rsoftware)Problem Solving using SPSS - I

THEORY:Core:

Electives:

PRACTICALS:

III IVEconometrics and Time Series AnalysisDemography, Statistical Quality Controland Reliability

Applied Stochastic ProcessesOrder StatisticsBayesian InferenceAdvanced Survey Sampling TheoryAdvanced Theory of Experimental DesignsAdvanced Statistical Computing and DataMining

Problem - Solving using R software - IIProblem Solving using SPSS - II

THEORY:Core:

Electives:

PRACTICALS:

Semester Semester

SemesterSemester

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COURSE HIGHLIGHTS

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Theoretical StatisticsUniversity of Delhi has always stood for the best in education and pedagogy. The Masters of Statistics program offers aperfect blend of fundamental training in statistical methods coupled with practical applications to cater to all industryoriented needs. The curriculum is designed to promote deep understanding of the concepts.

StochasticProcessesPoisson processBirth - death processBrownian motionBranching processMartingales

BayesianInferenceComputation ofposterior distributionLoss and utilityfunctionGeneralised MLestimationHypothesis testingBayesian intervalestimation

OrderStatisticsDistribution theoryOrder statistics asMarkov chainAsymptoticdistributionRandom division ofan intervalRank order statisticsrelated to simplerandom walk

Design ofExperimentsLinear estimationANOVAIncomplete BlockDesignFinite field and finitegeometryFactorialexperimentsConfoundingFractional factorialexperiments

GeneralisedLinear ModelsLogistic regressionPoisson regressionLog - linear modelsFamily of GLMPower class linkfunctionsQuasi likelihood

StatisticalInference

MultivariateAnalysisMultivariate distributionWishart matrixHotelling's T2 - statisticsFactor and clusteranalysisMultivariate regression

Sufficiency, efficiencyand MLENP lemma, LR test,large sample testsInterval estimationSPRT and itspropertiesNon - parametricmethodsRank order and linearrank statistics

ProbabilityTheoryRandom variablesProbabilitydistributionsLaw of large numbersConcept ofindependenceModes of convergence

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Applied StatisticsAdvancedTheory ofExperimentalDesignsPartially BalancedIncomplete BlockdesignFractional FactorialplansOrthogonal arraysWeighing designsResponse surfacedesignsMixture experimentsCross - over designs

EconometricsGLM with stochasticregressorsInstrumental variablesBayesian analysis ofGLMDistributed LagmodelsSimultaneousequations model

Analysis of Epidemiology& Clinical dataDifferent types ofcensoringSurvival timedistributions,comparison of survivaldistributionsCompeting Risk theorySensitivity, Specificity &Predictivity Analysis, ROCcurveEstimation of Odd's ratioand Relative riskVarious EpidemicmodelsStatistical genetics,plannning & design ofClinical trials

Bio-statistics StatisticalQualityControlProduct &process control, control chartsCUSUM chartsV mask &decision intervaltechnique Economicdesign of X-barchartSamplinginspection plans

FinancialStatisticsStochastic calculusDerivatives, pricing& hedgingRandom walk, CRRmodelBlack Scholes PDE,MartingalesOptions, Forwardrates modelling

Data MiningArtificial NeuralnetworkClustering and MarketsegmentationPrincipal ComponentAnalysisClassification &Regression treesStatistical simulationsExpectation -Maximisationalgorithm

DemographyMeasures ofmortality & fertilityConstruction ofdifferent life tablesRelationshipsbetween life tablefunctionsPopulation growthmodelsPopulationprojection

OperationalResearchLinear programmingTransportationproblemsGame theory &SimulationsInventory theoryDecision Analysis

Time Series&ForecastingTime Series as adiscrete parameterStochastic processMoving average,Auto regressive,ARMA & ARIMAmodelsExponential &adaptive smoothingmethods

ReliabilityReliability & expectedlongevity of differenttypes of systems withapplications,maintained & non-maintained systemswith their reliability &expected longevityestimation of reliability& expected survivaltime for censoredfailure time dataPreventive maintenan-ce policy

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Focus Areas

IActuarial Analytics:Helps an organization inproviding services thatfocus on riskmanagement and allowsone to make informedbusiness decisions.

IIBio - Statistics:Involves translating datainto meaningfulinformation that can thenbe used to make logicaland beneficial publichealth decisions.

IIIBusiness Analytics:Useful to make data -driven decisions; theinsight gained enablescompanies to automateand optimize theirbusiness processes.

IVData Science:A concept to unifystatistics, data analysis andtheir related methods inorder to understand and analyse actual phenomenawith data to makeinformed decisions to drivethe company forward,improve efficiency, increaseprofits and achieve settargets.

VData Analysis:Includes cleansing,transforming, andmodelling data with thegoal of discovering usefulinformation, informativeconclusions, andsupportive decisionmaking.

VIDemography:Seeks to understandpopulation dynamicsby investigatingdemographic processes;understanding social andeconomic problems andidentifying solutions.

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VIIConsulting &Advisory:Paves the way to makesuitable changes in thebusiness, analyse businessproblems and come outwith possible ways to dealwith  it.

VIIIFinancial Statistics:Studies past behaviour,forecasts futurebehaviour of financialsecurities and markets ina broad geographicregion.

IXMarket Research:Provides importantinformation which helpsto identify and analyzethe needs of the market,the market size and thecompetition.

XOperational Research:Quantifies the relevantfactors of an issue and usesmathematical techniques toarrive at an optimal decisionand is used to solve complexproblems under uncertainty.

XIRisk Analytics:Develops models toprotect againstunforeseen risk andreduce regulatorycapital, optimize andmitigate risks that cannegatively affect theorganization's productsor services.

XIISports Analytics:Gives a competitive edge toa team or individual,focuses on organisations totake better decisions forhigher growth andincreased profitability.

Focus Areas

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Placement Records 20 1 9 -2020

₹ 18 LPAHighest Package Offered

₹ 7.70 LPAMedian Package Offered

47Students Placed

We are pleased to be able to proclaim that 2019-20 has been avery fruitful session for Credence with more than 90% studentssuccessfully placed in reputable organisations all over thecountry.

52Offers Made

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PAST RECRUITERS

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PAST RECRUITERS

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Contact Us

Department of StatisticsFaculty of Mathematical Sciences3rd Floor, New Academic Block

University of DelhiDelhi:110007

Email: [email protected], [email protected]

Website: http://statistics.du.ac.inPhone No.: +91-11-27666671, Ext.305(O)

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DEPARTMENT OF STATISTICS FACULTY OF MATHEMATICAL

SCIENCESUNIVERSITY OF DELHI

Website : statistics.du.ac.in