| 101 |
Core-I:Probability Theory |
After completing this course, the students will be able to
CO1: The aim of the course is to pay a special attention to applications of Real Analysis in the foundation of probability theory. CO2: Students learn to identify the characteristics of different Discrete and continuous variables. CO3: The knowledge to define the type of variables for different situation to which different concepts of probability theory can be Applied. CO4: Understanding of the concept of expectation and conditional expectation and their real life applications. CO5: Students learn to develop and apply different moment inequalities for statistical inference purpose. CO6: Gain the ability to understand the concepts of random variable, Sequence of random variables, convergence, modes of convergences. CO7 : understanding of Weak Law of Large Theorem with their applications e.g. large-sample approximations for common statistics. |
4 |
| 102 |
Core-II: Univariate Distributions |
After completing this course, the students will be able to:
CO1: Understand the most common discrete and continuous probability distributions and their real life applications. CO2: Calculate moments, quartiles and characteristic function from distributions CO3: Get familiar with different transformation of univariate distribution CO4 :Apply compound, contagious, Neyman type-A and Truncated distributions to solve problems CO5:Aware about power series distributions CO6: Differentiate between central and non-central distributions CO7: On studying the theory of order statistics students can learn how to model product failure, droughts, floods and other extreme occurrences. |
4 |
| 103 |
Core-III: Linear Algebra |
After completing this course, the students will be able to:
CO1: Understanding and applying basic concepts of linear Algebra. CO2: Identifying applications of Matrix Algebra in statistics CO3:Express and solve system of equations with multiple dimensions/variables in matrix notations. CO4: Understand use of determinants, inverse of a matrix rank, characteristic polynomial, Eigen values, Eigen vectors etc. other special types of matrices. CO5: Understand concepts of linear transformation, linear product and quadratic equations with their applications |
4 |
| 1041 |
Elective-I: Real Analysis |
After completing this course, the students will be able to:
CO1:Describe fundamental properties of the real numbers, sets, classes, function, inverse function, simple and measurable functions, distribution functions, measures etc. that lead to the formal development of real analysis/ probability theory. CO2:Comprehend rigorous arguments developing the theory underpinning real analysis and base to probability theory. CO3: Demonstrate and understanding of limits of sequences, series etc.Construct rigorous mathematical proofs of basic results in real analysis. CO4: Students will be aware of the need and use of Real Analysis. CO5: Concept of measure, its properties, and important results related to measure & their proofs and Construction of Lebesgue measure and Lebesgue Stiltjes measure. |
4 |
| 1042 |
Elective-II: Sampling Theory I |
After completing this course, the students will be able to:
CO1: Understand the basic principles of survey design, sample size determination, estimation. CO2: planning and execution of different types of survey and Report writing of a survey. CO3: Apply different sampling methods, like SRSWR, SRSWOR, post/ PRE-stratification (stratified sampling), and selecting a sample from population under study and estimation of parameter of interest |
4 |
| 1043 |
Elective-III: Official Statistics |
After completing this course, the students will be able to: CO1: Understand Indian Statistical Systems, its role, functions and activities i.e. understand the role of MOSPI, NSO, and National Stastical Commission. CO2: Appreciate and use techniques of quantitative analysis in social work research . CO3: Discuss the scope and contents of population census of India. CO4: Identify Statistics related to agriculture, industries, health, prices, cost of living inflation, educational and social statistics etc. CO5: Understand economic development and national income estimation CO6: Discuss the measures of inequality in income and measures of incidence and intensity. |
4 |
| 105 |
Practical Paper - I |
After completing this course, the students will be able to: CO1: Solve the real life problems of various basic mathematics and process the data using excel and JAMOVI CO2: Develop thinking skills of calculus. CO3: Calculate the probability, expected value and the moments. CO4: Understand and apply various functions available in excel and JAMOVI CO5: Fit the distributions to a real life data using Excel and JAMOVI CO6: Analyze real life data of various sampling techniques CO7: Solv linear algebra problems by excel CO8: Analysis and interpretation of official statistics, practical use in various sectors: Price, Agriculture, Industries etc. CO9: Application of Real Analysis |
4 |
| 106 |
Statistical Computing with Excel and Jamovi |
After completing this course, the students will be able to: CO1: Understand and prepare various types of documentation and apply formatting using word processing application software CO2: Understand and prepare various types of documentation and apply formatting features using word processing application software CO3: Expertise in preparation of presentation by power point tool and its features CO4: Known various functions of excel for arranging data CO5: Develop statistical skills using JAMOVI software CO6: Develop understanding of browser, server, various internet protocols and utilities. CO7: Able to develop basic website designing using dream weaver. |
4 |
Entrance Test