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M-SC in Statistics at University of Delhi

University of Delhi is a premier central university in Delhi, established in 1922. Renowned for its academic excellence across diverse programs, including Arts, Sciences, and Commerce, DU fosters a vibrant campus environment. Ranked 6th by NIRF 2024, it educates over 700,000 students.

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Delhi, Delhi

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About the Specialization

What is Statistics at University of Delhi Delhi?

This M.Sc. Statistics program at the University of Delhi focuses on developing a strong theoretical foundation in statistical methods combined with practical application skills. It is designed to equip students with advanced analytical tools for data interpretation and decision-making, catering to the growing demand for skilled statisticians in India''''s data-driven economy through its comprehensive CBCS curriculum.

Who Should Apply?

This program is ideal for graduates with a strong background in Mathematics or Statistics seeking to deepen their understanding of advanced statistical concepts. It attracts fresh graduates aiming for careers in analytics, research, or academia, as well as professionals looking to enhance their quantitative skills for roles in diverse sectors like finance, healthcare, and information technology.

Why Choose This Course?

Graduates of this program can expect to pursue rewarding careers as Data Scientists, Statisticians, Business Analysts, or Actuaries in India. Entry-level salaries typically range from INR 4-8 lakhs per annum, with experienced professionals earning significantly more. The program fosters critical thinking and problem-solving abilities, preparing students for leadership roles in various industries across the nation.

Student Success Practices

Foundation Stage

Master Core Theoretical Concepts- (Semester 1-2)

Focus intensely on understanding the underlying mathematical and probabilistic theories of statistics. Regularly solve problems from textbooks and previous year''''s papers to solidify concepts. Form study groups with peers to discuss challenging topics and diverse problem-solving approaches for a stronger foundation.

Tools & Resources

NPTEL lectures on Probability and Statistical Inference, Standard textbooks, Khan Academy for basic math refreshers

Career Connection

A strong theoretical base is crucial for tackling complex real-world problems and forms the backbone for advanced analytical roles, enabling a clear understanding of model assumptions and limitations, highly valued in Indian analytical firms.

Develop Proficiency in R Programming- (Semester 1-2)

Actively engage in all practical sessions using R. Work on additional coding exercises, participate in R programming challenges, and explore various R packages for data manipulation, visualization, and statistical modeling beyond classroom assignments to build hands-on skills.

Tools & Resources

DataCamp, Coursera courses on R, SwirlStats R package, RStudio IDE, GeeksforGeeks R tutorials, Official R documentation

Career Connection

R is a fundamental tool for statisticians and data scientists in India. Proficiency ensures readiness for data analysis, statistical modeling, and data visualization roles, making you highly valuable to employers across various industries.

Build a Strong Network with Faculty and Peers- (Semester 1-2)

Attend departmental seminars, workshops, and guest lectures. Engage with professors during office hours to clarify doubts and seek guidance on career paths. Collaborate with classmates on projects and assignments to foster a supportive learning environment and build peer connections.

Tools & Resources

Departmental notice boards, University events calendar, LinkedIn

Career Connection

Networking can lead to research opportunities, internship referrals, and future job prospects within the Indian professional landscape. Faculty often have industry connections, and peers can become future collaborators or colleagues, aiding long-term career growth.

Intermediate Stage

Apply Statistical Models to Real-world Data- (Semester 3)

Actively seek out opportunities to work on projects involving real datasets, possibly from open-source repositories or through collaborations with research centers. Focus on interpreting results, validating assumptions, and communicating findings effectively to develop practical skills.

Tools & Resources

Kaggle datasets, UCI Machine Learning Repository, Government data portals like data.gov.in, Python for data handling (Pandas, NumPy)

Career Connection

Practical application of models bridges the gap between theory and industry demands, preparing students for roles requiring data analysis, predictive modeling, and business intelligence in the Indian market, making them industry-ready.

Explore Specializations and Electives Strategically- (Semester 3)

Carefully choose Discipline Specific Electives (DSEs) based on your career interests, for example, Econometrics for finance, Biostatistics for healthcare, or Data Mining for tech. Research the faculty teaching these subjects and their ongoing research to make informed choices.

Tools & Resources

Syllabus details, Faculty profiles on the department website, Career counseling sessions

Career Connection

Strategic elective choices allow for specialization in high-demand areas, making you a more targeted and attractive candidate for specific industry roles and niche job markets in India, enhancing your employability.

Engage in Research Projects or Internships- (Semester 3)

Look for opportunities to undertake a mini-project under a professor''''s guidance or apply for summer internships in statistical departments of companies, research labs, or government organizations. This provides hands-on experience and builds your resume for future prospects.

Tools & Resources

University career services, Departmental research groups, Internship portals like Internshala, Faculty recommendations

Career Connection

Internships and research projects offer practical exposure, develop problem-solving skills, and often lead to pre-placement offers or strong recommendations, significantly boosting employability in the Indian job market.

Advanced Stage

Undertake a Comprehensive Dissertation/Project- (Semester 4)

Dedicate significant effort to the dissertation in Semester 4. Choose a topic aligned with your career aspirations, apply advanced statistical techniques, and present your findings rigorously. This project is your capstone and a key talking point for interviews, demonstrating independent research.

Tools & Resources

Academic advisors, Research papers (IEEE Xplore, Google Scholar), Statistical software packages (R, Python, SAS, SPSS), University library resources

Career Connection

A strong dissertation demonstrates independent research capabilities, deep domain knowledge, and the ability to apply complex statistical methodologies, which are highly valued by recruiters in India for advanced analytical roles.

Intensive Placement Preparation and Skill Refinement- (Semester 4)

Begin focused preparation for placements well in advance. Practice technical interviews, aptitude tests, and soft skills. Refine your resume and cover letter, tailoring them to specific job descriptions. Participate in mock interviews and group discussions to hone your readiness.

Tools & Resources

University placement cell services, Online aptitude test platforms, Interview preparation guides, LinkedIn for company research, Coding platforms for statistical challenges

Career Connection

Targeted preparation significantly increases the chances of securing desirable placements in top-tier companies, maximizing your return on investment for the M.Sc. degree and establishing a successful career trajectory in India.

Network with Alumni and Industry Professionals- (Semester 4)

Leverage the university''''s alumni network and attend industry conferences or meetups. Engage with professionals to gain insights into current industry trends, career paths, and potential job openings. This also helps in understanding the practical applications of your learning and broadens your horizons.

Tools & Resources

University alumni portal, LinkedIn, Industry-specific forums, Professional associations like Indian Society for Probability and Statistics

Career Connection

Networking opens doors to hidden job opportunities, mentorship, and a better understanding of industry expectations, which is vital for long-term career growth in India''''s competitive and evolving professional landscape.

Program Structure and Curriculum

Eligibility:

  • B.A./B.Sc. (Hons.) in Statistics or Mathematics (with at least two papers in Statistics) or Computer Science (with at least two papers in Statistics) or B.Sc. Degree (General) with at least two papers in Statistics, from University of Delhi or a recognized university, with at least 50% marks in aggregate. Other equivalent degrees like B.Voc., B.Tech., M.A./M.Sc. Mathematics/Operational Research (with at least two papers in Statistics) or M.Sc. Biostatistics are also eligible.

Duration: 4 semesters / 2 years

Credits: 80 Credits

Assessment: Internal: 30%, External: 70% (End Semester Examination)

Semester-wise Curriculum Table

Semester 1

Subject CodeSubject NameSubject TypeCreditsKey Topics
MSTC-101AnalysisCore4Real Analysis and Metric Spaces, Sequence and Series of Functions, Multivariable Calculus, Riemann-Stieltjes Integral, Lebesgue Measure and Integration
MSTC-102Linear AlgebraCore4Vector Spaces and Subspaces, Linear Transformations, Eigenvalues and Eigenvectors, Quadratic Forms, Generalized Inverse of a Matrix
MSTC-103Probability TheoryCore4Probability Spaces and Random Variables, Expectation and Conditional Expectation, Modes of Convergence, Characteristic and Moment Generating Functions, Central Limit Theorem
MSTC-104Statistical MethodologyCore4Univariate Probability Distributions, Bivariate Probability Distributions, Sampling Distributions, Order Statistics, Transformation of Variables
MSTP-105Statistical Computing-I (Using R)Practical4R Programming Environment, Data Objects and Structures in R, Basic Statistical Operations in R, Data Visualization in R, Simulation and Random Number Generation

Semester 2

Subject CodeSubject NameSubject TypeCreditsKey Topics
MSTC-201Stochastic ProcessesCore4Markov Chains and Classification of States, Branching Processes, Poisson Process, Renewal Theory, Martingales
MSTC-202Statistical Inference-ICore4Point Estimation and Properties of Estimators, Sufficiency and Completeness, Cramer-Rao Lower Bound, Methods of Estimation (MLE, MOM), Bayesian Estimation
MSTC-203Sampling TheoryCore4Simple Random Sampling, Stratified Random Sampling, Ratio and Regression Estimators, Systematic Sampling, Cluster and Two-stage Sampling
MSTC-204Linear ModelsCore4General Linear Model Assumptions, Estimation of Parameters (OLS), Hypothesis Testing in Linear Models, Analysis of Variance, Model Adequacy Checking
MSTP-205Statistical Computing-II (Using R)Practical4Regression Analysis in R, Hypothesis Testing using R, ANOVA in R, Simulation of Stochastic Processes, Advanced Graphics in R

Semester 3

Subject CodeSubject NameSubject TypeCreditsKey Topics
MSTC-301Design of ExperimentsCore4Basic Principles of Experimental Design, Completely Randomized Design, Randomized Block Design, Latin Square Design, Factorial Experiments (2^k, 3^k)
MSTC-302Multivariate AnalysisCore4Multivariate Normal Distribution, Wishart Distribution, Hotelling''''s T^2 Statistic, Discriminant Analysis, Principal Component Analysis
MSTC-303Statistical Inference-IICore4Hypothesis Testing Framework, Neyman-Pearson Lemma, Likelihood Ratio Tests, Sequential Probability Ratio Test, Non-parametric Tests
MSTD-304EconometricsDiscipline Specific Elective (DSE-1 Option 1)4Classical Linear Regression Model, Heteroscedasticity and Autocorrelation, Multicollinearity, Time Series Econometrics, Simultaneous Equation Models
MSTD-305Financial StatisticsDiscipline Specific Elective (DSE-1 Option 2)4Financial Markets and Assets, Portfolio Theory and Capital Asset Pricing Model, Option Pricing (Black-Scholes Model), Value at Risk, Time Series Models in Finance
MSTD-306Official StatisticsDiscipline Specific Elective (DSE-1 Option 3)4Statistical System in India, Sources of Official Statistics, National Accounts Statistics, Price and Production Indices, Social and Environmental Statistics
MSTP-307Statistical Computing-III (Using R)Practical4Analysis of Experimental Designs in R, Multivariate Data Analysis in R, Statistical Inference Techniques in R, Implementation of Elective Subject Concepts in R, Report Generation and Presentation

Semester 4

Subject CodeSubject NameSubject TypeCreditsKey Topics
MSTC-401Operations ResearchCore4Linear Programming and Simplex Method, Duality in Linear Programming, Transportation and Assignment Problems, Queuing Theory Models, Inventory Control Models
MSTC-402Actuarial StatisticsCore4Survival Models and Life Tables, Life Insurance Benefits, Annuities and Policy Values, Premium Calculation Principles, Reserves for Life Insurance
MSTD-403Bayesian InferenceDiscipline Specific Elective (DSE-2 Option 1)4Bayesian Paradigm and Priors, Posterior Distributions and Predictive Densities, Markov Chain Monte Carlo (MCMC), Bayesian Hypothesis Testing, Computational Bayesian Statistics
MSTD-404BiostatisticsDiscipline Specific Elective (DSE-2 Option 2)4Clinical Trials and Phases, Survival Analysis (Kaplan-Meier, Cox Proportional Hazards), Epidemiological Study Designs, Bioassay and Dose-Response Models, Logistic Regression in Biostatistics
MSTD-405DemographyDiscipline Specific Elective (DSE-2 Option 3)4Sources of Demographic Data, Measures of Mortality, Measures of Fertility, Migration Analysis, Population Projections
MSTD-406Data MiningDiscipline Specific Elective (DSE-3 Option 1)4Data Preprocessing and Exploration, Classification Techniques (Decision Trees, SVM), Clustering Algorithms (K-means, Hierarchical), Association Rule Mining, Introduction to Big Data Analytics
MSTD-407Nonparametric RegressionDiscipline Specific Elective (DSE-3 Option 2)4Kernel Smoothing, Spline Regression, Local Polynomial Regression, Wavelet Regression, Nonparametric Hypothesis Testing
MSTD-408Time Series AnalysisDiscipline Specific Elective (DSE-3 Option 3)4Stationary and Non-stationary Time Series, Autoregressive Integrated Moving Average (ARIMA) Models, ARCH and GARCH Models, Spectral Analysis, Forecasting Techniques
MSTP-409Dissertation/ProjectProject4Problem Identification and Literature Review, Methodology Design and Data Collection, Statistical Modeling and Analysis, Interpretation of Results and Discussion, Report Writing and Presentation
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