# Probability theory Assignment Help

## Probability theory Assignment Help

Following is the list of comprehensive topics in which we offer Homework Help, Assignment Help, Exam Preparation Help and Online Tutoring:

• Classical and relative-frequency approach to probability
• Kolmogorov’s axiomatic definition (detailed discussion on discrete space only)
• Probability of union and intersection of events
• Probability of occurrence of exactly m and atleast m events out of n events
• Conditional probability and independence of events
• Bayes’ theorem and its applications
• Probability spaces
• Random variables
• Discrete and continuous random variables
• Cumulative distribution function (c.d.f.) And its properties (with proof
• Probability mass function (p.m.f.) And probability density function (p.d.f.)
• Expectation and moments
• Dispersion
• Skewness
• Kurtosis
• The c.d.f., p.m.f. And p.d.f. In bivariate case
• Marginal and conditional distributions
• Independence
• Conditional expectation
• Correlation and regression
• Theorems on sum and product of expectations of random variables
• Expectations and moments
• Minkowski inequality
• Schwartz inequality
• Jensen inequality
• Markov inequality
• Holder’s inequality
• Tchebyshev’s inequality
• Classes of sets
• Field, sigma fields
• Minmal sigma fields
• Borel sigma fields
• Lim sup and liminf of a sets
• Measure
• Probability measure
• Catheodary extension theorem
• Lebesgue and lebesgue – steljes
• Measures, measurable functions
• Monotone convergence theorem
• Fatou’s lemma
• Dominated convergence theorem