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
  • Radon-nykodin theorem
  • Law of large numbers
  • Weak law of large numbers
  • Strong law of large numbers
  • Strong law of large numbers
  • Kolmogorov’s strong law of large numbers
  • Borel 0-1 law
  • Bore l- cantelli lemma
  • Kolmogorov 0 – 1 law
  • Convergence in probability
  • In distribution and in mean
  • Liapounov’sclt