Probability and Statistical Applications- JNTU Kakinada First Year Syllabus 2009 |
UNIT-I |
Probability Theory: Sample spaces Events & Probability; Discrete Probability; Union , intersection and
compliments of events; Conditional probability ;Bayes theorem.
|
UNIT-II |
Random variables and distribution: Random variables Discrete Probability Distributions,. Continuous probability
distribution, Binomial, Poisson, uniform, Exponential, Normal.
|
UNIT III |
Expectations and higher order moments Moment Generating Function, Characteristic functions Laws on large
numbers Weak Laws and strong laws of large numbers. Central limit theorem and other limit theorems.
|
UNIT IV |
Sampling distribution: Populations and samples - Sampling distributions of mean (_ known and unknown)
proportions, sums and differences. Statistics based on Normal, Students t and F distributions.
|
UNIT V |
Tests of significance –Z-test, t-test, F-test,
c-test. Factor Analysis ANOVA, Application to medicine, psychology,
agriculture etc
|
UNIT VI |
Linear correlation coefficient Linear regression ; Non Linear regression Least square fit ; polynomial and Curve
fittings
|
UNIT VII |
Time series and Forecasting : Moving averages , Smoothening of curves Forecasting models and methods ,
Statistical Quality Control Methods-bar charts p-charts etc.
|
UNIT VIII |
Queuing theory Markov Chains Introduction to Queuing systems Elements of a queuing model Exponential
distribution Pure birth and death models. Generalized Poisson Queueing model Specialized Poisson Queues.
|
REFERENCES |
TEXT BOOKS: |
1. Probability, Statistics and Random Processes Dr.K.Murugesan & P.Gurusamy by Anuradha Agencies,
Deepti Publications.
2. Probability, Statistics and Random Processes , T.Veerarajan, TMH, India |
Reference Books |
1. Probability and Statistics for Engineers: Miller and Freund, PHI.
2. Probability, Statistics and Queuing Theory Applications, 2nd ed, Trivedi, John Wiley and Sons.
|