Subjective / Written Questions (25)
1. Critically derive and explain Matrix algebra and generalized inverses. / का critical derivation/explanation कीजिए Matrix algebra and generalized inverses।
2. Compare and evaluate BLUE and Gauss-Markov theorem. / की तुलना एवं मूल्यांकन कीजिए BLUE and Gauss-Markov theorem।
3. Analyse the assumptions and limitations of Simple and stratified random sampling. / की assumptions एवं limitations का analysis कीजिए Simple and stratified random sampling।
4. Solve a challenging application involving Ratio and regression estimators. / से संबंधित कठिन application को solve कीजिए Ratio and regression estimators।
5. Discuss the theoretical significance of Cluster and systematic sampling. / का theoretical significance discuss कीजिए Cluster and systematic sampling।
6. Critically derive and explain Measure spaces and sigma-algebras. / का critical derivation/explanation कीजिए Measure spaces and sigma-algebras।
7. Compare and evaluate Lebesgue integration. / की तुलना एवं मूल्यांकन कीजिए Lebesgue integration।
8. Analyse the assumptions and limitations of Modes of convergence. / की assumptions एवं limitations का analysis कीजिए Modes of convergence।
9. Solve a challenging application involving Conditional probability and expectation. / से संबंधित कठिन application को solve कीजिए Conditional probability and expectation।
10. Discuss the theoretical significance of R programming for statistical computing. / का theoretical significance discuss कीजिए R programming for statistical computing।
11. Critically derive and explain Python statistical computing. / का critical derivation/explanation कीजिए Python statistical computing।
12. Compare and evaluate Multivariate normal distribution. / की तुलना एवं मूल्यांकन कीजिए Multivariate normal distribution।
13. Analyse the assumptions and limitations of Wishart distribution. / की assumptions एवं limitations का analysis कीजिए Wishart distribution।
14. Solve a challenging application involving Principal component analysis. / से संबंधित कठिन application को solve कीजिए Principal component analysis।
15. Discuss the theoretical significance of Factor analysis. / का theoretical significance discuss कीजिए Factor analysis।
16. Critically derive and explain Advanced estimation and sufficiency. / का critical derivation/explanation कीजिए Advanced estimation and sufficiency।
17. Compare and evaluate Completeness and exponential families. / की तुलना एवं मूल्यांकन कीजिए Completeness and exponential families।
18. Analyse the assumptions and limitations of Bayesian estimation. / की assumptions एवं limitations का analysis कीजिए Bayesian estimation।
19. Solve a challenging application involving Linear regression diagnostics. / से संबंधित कठिन application को solve कीजिए Linear regression diagnostics।
20. Discuss the theoretical significance of Generalized least squares. / का theoretical significance discuss कीजिए Generalized least squares।
21. Critically derive and explain Time series stationarity. / का critical derivation/explanation कीजिए Time series stationarity।
22. Compare and evaluate ARIMA models. / की तुलना एवं मूल्यांकन कीजिए ARIMA models।
23. Analyse the assumptions and limitations of Population growth measures. / की assumptions एवं limitations का analysis कीजिए Population growth measures।
24. Solve a challenging application involving Life tables. / से संबंधित कठिन application को solve कीजिए Life tables।
25. Discuss the theoretical significance of Demographic transition. / का theoretical significance discuss कीजिए Demographic transition।