PART A: STATISTICS
Introduction to Statistics
Measures of Location
- Knowledge of central tendency or location
- Know about arithmetic mean
- Explanation of geometric mean
- The proper explanation of harmonic mean
- Acquire the suitable knowledge of median
- Know the exact meaning of mode
- Quartiles dectiles and percentiles are the important part of the statistics
Measures of Dispersion
Measures of Skewness and Kurtosis
Correlation and Regression
- Bivariate distribution
- Coefficient of correlation
- Regression of equations
- Rank correlation
- Correlation of bivariate frequency distribution
- Multiple regression
- Curvilinear regression
Probability
- Theorem of total probability addition theorem
- Theorem of compound probability multiplication theorem
- Independent events
- Subjective probability
Probability Distributions
Some Probability Distributions
Sampling Theory
- What is sampling
- Types sampling
- What is the use of random numbers
- Parameter and statistic
- Sample distribution of mean
- Sampling distribution of sample variance
- Sampling distribution of sample proportion
Estimation of Parameters
Testing of Hypothesis
- Statistical hypothesis and related terms
- Test for large samples n 30
- Testing of small samples
- Testing of proportion
- Testing of single variance
- Testing of equality of two variances
- Goodness of fit test
Analysis of Variance
- Analysis of variance introduction
- Completely randomized design c r d one way classification
- Randomized block design two way classification r b d
Stochastic Process
- Definition of stochastic process
- Markov process and markov chain
- Classification of the states of markov chain
- Steady state probabilities
- Entrance probability theorem
PART B: OPERATIONS RESEARCH
Linear Programming
- Introduction operations research
- Introduction to linear programming problems lpp
- Graphical method
- Simplex method
- Big m method
- Two phase method
- Formulation problems
- Revised simplex method rsm
Transportation Problems
- Introduction and mathematical formulation in transportation problems
- Finding initial basic feasible solution
- Uv method or modi method
- Degeneracy in t p
- Max type t p
- Unbalanced t p
Assignment Problems
- Introduction and mathematical formulation
- Hungarian algorithm
- Unbalanced assignments
- Max type assignment problems
- Routing problems
Queuing Theory
- Queuing theory introduction
- Basic elements of queuing model
- Kendalls notation
- Queuing models based on birth and death processes
- Mm1 fifon model
- Mms fifo model
- Mms fifon 5 model
- Non poisson queuing models
Inventory Control
- Inventory control introduction
- Inventory control notations
- Model i purchasing model without shortage
- Model ii purchasing model with shortage
- Model iii manufacturing model without shortage
- Model iv manufacturing model with shortage
- Probabilistic models
Simulation
- Simulation introduction
- Basic concepts of simulation
- Random numbers
- Simulation methods
- Simulation applications
Network Scheduling by CPM/IPERT
- Time calculations in network
- Program evaluation and review technique pert
- Elements of crashing a network
Game Theory
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