| S# |
Lecture |
Course |
Institute |
Instructor |
Discipline |
| 1 |
Asymptotic behaviour of Markov chains (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 2 |
Basics of Markov chains, Examples of Markov chains (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 3 |
Bayes Rule Application, Partitioned Footpath, Partioned Floor, Trains on a Junction (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 4 |
Bipartite and tripartite graphs of Markov chains (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 5 |
CDF of a Continuous RV, CDF and PDF of Nozzle Height, Exponential RV (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 6 |
Moments of U and V from f(x, y) (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 7 |
CDF of Poisson PMF, Joint Distribution Example, Marginal PMF (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 8 |
Multiple derived RVs, Probability Computation (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 9 |
Combinatronics, Birthday Problem, Bayes Rule (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 10 |
n-step stochastic matrix, n-step reachability (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 11 |
Conditional Distribution, Conditional PMF, Expected Value, Transformation of Random Variables (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 12 |
Non-invertible Transformations (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 13 |
Continuous Random Variable, Probability Density Function, PDF and CDF of a Continuous RV (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 14 |
Norm of Vectors and Function, Convergence of RVs, Inequalities (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 15 |
Continuous-time Markov chains, Poisson arrival and departure processes, Stationary probability distribution, Queuing theory (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 16 |
Pair of derived RVs (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 17 |
Convergence of Sequence, Convergence of RVs (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 18 |
Pair of RVs , Buffon's Needle, Exponential RV Pair, Pair of Erlang RVs (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 19 |
Correlation & Covariance, Correlated Gaussian RVs (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 20 |
Partitioning of Markov chains (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 21 |
Diagonalization of stochastic matrix, Periodic and aperiodic recurrence (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 22 |
Direct Computation of Derived CDF (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 23 |
PDF of Z = X+X ? 2X, Characteristic Functions (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 24 |
Periodic and aperiodic Markov chains, Multivariate joint probability (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|
| 25 |
Eigen-analysis of stochastic matrix (V-U)
|
Probability Stochastic Process (V-U)
|
Virtual University
|
Dr. Muhammad Akmal Butt
|
Applied Sciences
|