18MST12C: Probability Theory UNIT-IV Page: 1

I MSc Statistics Dept. of Statistics

(Source: Fundamentals of Mathematical Statistics by V. K. Kapoor & S. C. Gupta

UNIT-IV

4.1 Convergence of sequence of random variables & Mode of convergence

18MST12C: Probability Theory UNIT-IV Page: 2

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 3

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 4

I MSc Statistics Dept. of Statistics

Moment Generating Function

18MST12C: Probability Theory UNIT-IV Page: 5

I MSc Statistics Dept. of Statistics

4.2 Characteristic Function: Definition and Properties

18MST12C: Probability Theory UNIT-IV Page: 6

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 7

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 8

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 9

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 10

I MSc Statistics Dept. of Statistics

4.3 Inversion Theorem

4.4 Uniqueness Theorem

18MST12C: Probability Theory UNIT-IV Page: 11

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 12

I MSc Statistics Dept. of Statistics

18MST12C: Probability Theory UNIT-IV Page: 13

I MSc Statistics Dept. of Statistics

#### End of Unit-IV ####