# M.Sc in Statistics

Rani Durgavati UniversityPrice on request

Price on request

Price on request

£ 295 - (Rs 25,568)

+ VAT

Free

## Important information

- Master
- Jabalpur

Starts | Location |
---|---|

On request |
JabalpurSaraswati Vihar, Pachpedi, Jabalpur (M.P.), 482001, Madhya Pradesh, India See map |

## Course programme

Course Structure

Unit -1 Multivariate normal distribution and it’s properties, Random Sampling from a

multivariate normal distribution. Maximum likelihood estimators of parameters.

Distribution of Sample mean Vector,

Unit-2 Hotelling’s T2 - distribution and its application, Null distribution of a sample

correlation coefficient. Null distribution of Partial and Multiple correlation coefficient.

Unit-3 Classification and discrimination procedures for discrimination between two

multivariate normal populations. Principal components & Canonical variable.

Unit-4 Introduction to Design of Experiments, CRD, RBD, LSD; Graeco Latin Square

Design. Missing Plot Technique – general theory and applications. Analysis of Covariance.

Split Plot Design.

Unit-5 General Block Design, Information metric ‘C’ and it’s properties. Concept of

connectedness, orthogonality, balance. Analysis of block designs.

Unit -1 Meaning and scope of SQC, Shewhart control charts for X , R, np p, C etc. and their

uses. OC and ARL of control charts, uses of runs and related pattern of points.

Cusum charts, Use of V-mask, Derivation of ARL.

Unit-2 Sampling inspection plans – Classification and general properties. Sampling plans by

variables, Estimation of lot defective and plan parameter determination in known and

unknown cases.

Unit-3 Gauss – Makov Setup – Estimability, Best point estimates and interval estimates of

estimable linear parametric function. Normal equation and least square estimates.

Unit-4 Error and estimation spaces, Variances and covariance’s of least square estimates.

Estimation of error variance, Estimations with correlated observations. Least squares

estimates with restriction on parameters, Simultaneous estimates of linear parametric

functions.

Unit-5 Tests of hypothesis for one and more than one linear parametric function. Confidence

interval and regions, Power of F-test, Multiple comparison test due to Tukey and

Scheffe, Simultaneous confidence intervals

Unit -1 Definition and Scope of O.R. Phases inO.R. Linear Programming problems- Methods

of solution, Artificial variable techniques. Degeneracy and Methods for resolving it.

Unit-2 Revised simplex Algorithm in standard from I. Duality in linear Programming

problems, Duality Theorems – Basic Duality Theorem, Fundamental Duality Theorem.

Unit-3 Transportation and assignment problems with proofs of relevant results and methods of

solutions. Goal Programming – Concept, Goal Programming as an extension of LP,

Single Goal models.

Unit-4 Integer Liner Programming – Def. importance and need of integer programming.

Gomory’s cutting plane method. Geometric interpretation of Gomory’s cutting plane

method. Branch and bound methods. Geometrical interpretation of Branch & Bound

method. Application of Integer Programming.

Unit-5 Non Linear Programming problem – Def. practical situation, Formulation of non linear

programming problems. Canonical form of non-linear programming problem.

Graphical solution and verification of Kuhn – Tucker Conditions.