Statistics Book Topics

PART A: STATISTICS

Introduction to Statistics

• Introduction to statistics
• Frequency distribution of data
• Graphical representations of 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

• Definition of dispersion
• Standard deviation
• Mean deviation
• Quartile deviation
• Range

Measures of Skewness and Kurtosis

• Moments
• Skewness
• 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

• Random variable
• Characteristics of probability distributions

Some Probability Distributions

• Binomial distribution
• Poisson distribution
• Normal distribution
• 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

• Estimation
• Point estimation
• Interval estimation
• Bayesian estimation

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

• Introduction of game theory
• Game theory basic definitions
• Two person zero sum game with pure strategies
• Two person zero sum game mixed strategies
• Dominance rules
• Graphical method for games