DESCRIPTION OF COURSES FOR M.Sc. IN STATISTICS
STA701 STATISTICAL INFERENCE (M.Sc Statistics) 3 Credits
Elements of theory of statistical game and decision. Reduction of decision problems into problems of statistical inference., Admissibility and completeness. Methods of estimation. Lehman scheffe theorem. Invariance, Confidence Sets, Large sample theory for confidence bounds. Construction of test. Mp, Ump, Umpu, Umpi and likelihood ration criterion with their applications.
STA702 SAMPLE SURVEYS 3 Credits
Use of auxiliary information, multivariate ratio, regression and difference estimators and their extension to double sampling procedure. Quenouille’s technique of bias reduction. Sampling on successive occasions Non-sampling errors some specialized sampling techniques
STA 703 DESIGN AND ANALYSIS OF EXPERIMENTS 3 Credits
General Linear models, generalized inverse of a matrix factorial experiments, symmetric and asymmetric, balance and partially balanced incomplete block designs. Resolvable, group divisible, connected, lattice designs row, column designs, latin squares, lattice, youden cross-over designs. Response surface methodology. Construction of design 45(T):R
STA 704 MEASURE THEORY AND ADVANCED PROBABILITY 3 Credits Measure Theory: Measure and measurable function. Conditional spaces and measures. Probability and characteristic functions, strong law of large numbers. Convergence theorems in probability and probability distributions correlated random variables conditional probability measures and expectation.
STA705 QUALITY CONTROL AND ITS MANAGEMENT I 3 Credits
Analysis and control of variations in a production process: Operating characteristics of a control chart. Control charts for attributes and variables. Cumulative sum control charts. Control charts. Based on weighted average, methods controlling several related characteristics. Process capability analysis of economics design of control charts. Specifications and Tolerances.
STA706 ECONOMETRIC METHODS I 3 Credits
Ols, Gauss-Markoff theorem, MLE
Specification and misspecification test. Predictive and non-predictive test. Tests of hypothesis in the linear model. The likelihood ratio the walk and the language multiplier test, multi-coliinearity. Specification bias GIs. Dummy variables and seasonal variations. Inferences about linear model based on asymptotic distribution theory. 45(T).
STA 707 MULTIVARIATE ANALYSIS I 3 Credit
Fundamental theory of matrices and their properties. Multi-variate Normal distribution and associated multiple and partial correlation and regression theory. Estimation of parameters. Hotelling’s T and Mahalanobis’s D wishart distribution. Tests concerning mean vectors and variance of two sets of variables and associated confidence bounds. Some other multi-variance distributions.
STA 708 SEMINAR 4 Credits
The student shall present a minimum of two seminars based on his or her dissertation.
STA 711 DISSERTATION 6 Credits
Every student must develop a dissertation in any area of Statistics. The dissertation shall contain materials with reference of at least three sources that are not more than ten years old
STA712 ANALYSIS OF CATEGORICAL DATA 3 Credits
Probability models for (2 x 2) tables measures of association for (2 x 2) tables. Goodness of fit test. Squares tables and their applications structural models. Complete and incomplete multiway Table, Quas, Symmetry and complete symmetry.
STA713 STOCHASTIC PROCESSES WITH APPLICATIONS 3 Credits Classification of stochastic process. Random walk models. Discrete queuening chain inventory processed. Marthing-aies. Mean convariance and sample functions, integration and differentiation of SPSS. Estimation process.
STA714 NON-PARAMETRIC AND SEQUENTIAL METHODS 3 Credits Distribution Methods, distribution of order statistics and quantities. One and two-sample test. Confidence intervals. Transformations of statistics and their asymptotic properties. OC and ASW functions of the SPRT, SPRT for composite hypothesis, elements of sequential estimation, stein two-stage sampling method for point and interval estimation.
STA 715 THEORY OF GAME AND DECISION 3 Credits
Element of Game Theory: Rectangular game non-randomized and randomized strategies. Optimum strategies; Numerical and graphical methods for solution of game. Element of decision theory. Relationship between games, theory decision theory and statistical inference non-randomized, randomized Bayes, and min-max unbiased and invariants decision rules. Optimal decisions. Location and scale parameters 3 Oh (T)
STA716 TIME SERIES ANALYSIS AND ITS APPLICATIONS 3Credits
Discrete time series models. Principles of iterative model building. ARIMA models. Identification, Fitting diagnostic checking of models, application of discrete time series models illustrated by transfer function estimation, multiple forecasting and intervention function estimation. Seasonal model application for forecasting 45 (T)
STA717 METHODS OF OPERATIONS RESEARCH 3 Credits
Linear Programming simplex and graphical methods of optimum solution. Application to transportation and other problems. Sensitivity testing and quality. Non-linear programming dynamic optimization models. Stochastic programming models. Waiting time models, element of queuing theory. Single and multiple server models, network analysis, shortest-route models generalized network problem. Multi commodity network. Maximum-flow problem. 45i Ti
STA 721 ECONMETRIC METHODS II 3Credits
Non-linear models. Dynamic models. Equation Dynamics. Distributed Lags. Partial adjustment, adaptive expectations, difference and differential equations. Estimation of dynamic models. Dynamic: ARIM models and forecasting. Simultaneous equation systems. Discrete choice models 30(T)
STA 722 MULTIVARI ATE ANALYSIS II 3 Credits
Discriminate and classification analysis. Cluster Analysis. Theory of canonical correlation, principle component and factor analysis. Characteristic roots and characteristic vectors. 30(T)
STA 723 QUALITY CONTROL AND ITS MANAGEMENT II3 Credits
Basic concept of sampling lot-by-lot acceptance sampling for attributes, single, double sequential, multiple sample. Military standard 105D. dodge-Roming sampling plans acceptance sampling by variable. Design of variable sampling plans with specified curve. One and double specification limits. Military standard 414. Continuous sampling, chain sampling. Life testing and reliability. 30h(T).
STA 724 SAMPLING THEORY
Foundations of inference definition of some concept in survey sampling, unified theory of sampling. 1 class of linear estimators. Horvitz and Thompson estimator (HT). Admissibility of H.T estimator. Estimators better than H.T estimator varying probability selection Midzuno Sen, Rao-Hartlet-Cochran and other schemes ordered and unordered estimators. 45(T)
STA 725 STATISTICS AND FIELD EXPERIMENTATION 3 Credits
Initial steps in the planning of experiments, review of principles randomization replication. Blocking, BCD and RBCD Latin squares. Graeco-Latin square and cross over design. Factorial experiment. Confounding fractional replication, balanced and partially balanced incomplete block designs. Introduction to multivariate analysis of variance-Bivariate case. The use of the computer for data analysis of (T) (not open to statistics major students)
- Lectures 0
- Quizzes 0
- Skill level All levels
- Language English
- Students 0
- Assessments Yes