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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
M.Sc.DEGREE EXAMINATION STATISTICS
SECONDSEMESTER APRIL 2018
17PST2ES02- MODERN PROBABILITY THEORY
Date: 25-04-2018 Dept. No. Max. 100 Marks
Time: 01:00-04:00
Section A
Answer ALL questions(2 X 10 20)
1. Define probability measure.
2. Define measurable function.
3. Define Lebesgue-Stieltjes measure.
4. What is meant by independence of classes?
5. Define mixture of distribution functions.
6. Define independence of n random variables.
7. State Basic Inequality.
8. Define bivariate characteristic function.
9. Define convergence in distribution.
10. State Chebyshev's WLLN.