Syllabus
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Course Code: DSES-620 Course Name: Practical-VI |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Based on Applied Statistics-II 1. To construct X and R- chart, and comment on the state of control of the process. 2. To construct p-chart and d-chart, and comment on the state of control of the process. 3. To obtain control l imits for number of defects and comment on the state of control plotting the appropriate chart. 4. To obtain control l imits for number of defects per unit and comment on the state of control plotting the appropriate chart. 5. Single sample inspection plan: Construction and interpretation of OC, AQL, LTPD, ASN, ATI, AOQ, AOQL curves. 6. Calculation of process capability and comparison of 3-sigma control limits With specification limi |
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| 2 | Based on Linear Model 1. Estimation of X, when X is (i) a full rank matrix. (ii) not a full rank matrix. 2. Distribution of Quadratic forms. 3. Simple and Multiple Linear Regression. 4. Tests for Linear Hypothesis. 5. Bias in regression estimates. 6. Analysis of Covariance of a one way classified data. 7. Residual Analysis. |
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| 3 | Based on Operations Research 1. Mathematical formulation of L.P.P and solving the problem using graphical Method, Simplex technique, Big M method and Two-Phase method involving artificial variables. 2. Identifying Special cases by Graphical and Simplex method and interpretation of (i) Degenerate solution (ii) Unbounded solution (iii) Alternate solution (iv) Infeasible solution 3. Allocation problem using Transportation model |
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| 4 | Based on Actuarial Statistics 1. Modelling of individual and aggregate losses. 2. Fitting distributions to claims data, Risk models for individual claims and their sums. 3. Finding distribution of aggregate claims, and applications of compound distributions 4. Risk computation for different utility functions. 5. Finding survival function, curate future lifetime, force of mortality and problems based on life tables. 6. Problems on joint life and last survivor status and multiple decrement model. 7. Finding mean and variance of various continuous and discrete payments for assurance and annuity contracts. 8. Calculation of various payments from life tables using principle of equivalence, net premiums, prospective and retrospective provisions/reserves. |
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