Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 4 скачать в хорошем качестве

Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 4

📘 Mathematics-III (BCS301) – VTU 2023-24 | Module-2: Joint Probability Distributions & Markov Chain In this video, we solve a Markov Chain problem to show that a given transition matrix is regular stochastic and to find its unique fixed probability vector (stationary distribution). This topic belongs to Module-2 (Joint Probability Distributions & Markov Chain) as per the VTU syllabus for CS & Engineering and is useful for students of B.Sc, B.Tech, BE, and other universities studying Markov Chains. 🎯 Question (11th Video) Show that the transition matrix P = (0, 1, 0; 0, 0, 1; 1/2, 1/2, 0) is a regular stochastic matrix. Also, find the associated unique fixed probability vector v = (x, y, z) such that vP = v and x + y + z = 1. Marks: 7 ▶ Watch here: 11th Video – Regular Stochastic Matrix & Fixed Probability Vector 🧮 Concepts Covered: Markov Chain Transition Matrix Regular Stochastic Matrix Stationary / Fixed Probability Vector Solving vP = v using linear equations Normalization condition (sum of probabilities = 1) Understanding uniqueness of stationary distribution 🎯 Playlist: Joint Probability & Markov Chain | BCS301 – Module 2 | Mathematics-III | VTU 2023-24 | CS & Engineering 🔗    • Joint Probability & Markov Chain | BCS301 ...   📺 Video Order for Continuous Learning: 1️⃣ Joint Probability Distribution - Pt.1 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.1 | Di...   2️⃣ Joint Probability Distribution - Pt.2 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.2 | Di...   3️⃣ Joint Probability Distribution - Pt.3 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.3 | Di...   4️⃣ Joint Probability Distribution - Pt.4 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.4 | Di...   5️⃣ Joint Probability Distribution - Pt.5 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.5 | Di...   6️⃣ Joint Probability Distribution - Pt.6 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.6 | Di...   7️⃣ Joint Probability Distribution - Pt.7 | Discrete Random Variables | Engineering Mathematics    • Joint Probability Distribution - Pt.7 | Di...   8️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 1    • Unique Fixed Probability Vector for Regula...   9️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 2    • Unique Fixed Probability Vector for Regula...   🔟 Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 3    • Unique Fixed Probability Vector for Regula...   1️⃣1️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 4    • Unique Fixed Probability Vector for Regula...   1️⃣2️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 5    • Unique Fixed Probability Vector for Regula...   1️⃣3️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 6    • Unique Fixed Probability Vector for Regula...   1️⃣4️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 7    • Unique Fixed Probability Vector for Regula...   1️⃣5️⃣ Markov Chain 01: Transition Probability Matrix with Examples | Engineering Mathematics 1️⃣6️⃣ Markov Chain Problem on Student Study Habits | Find Long Run Probability    • Markov Chain Problem on Student Study Habi...   1️⃣7️⃣ Markov Chain Problem on Smoking Habits | Find Long Run Probability    • Markov Chain Problem on Smoking Habits | F...   1️⃣8️⃣ Markov Chain Problem on Ball Throwing | Find Probabilities After 3 Throws    • Markov Chain Problem on Ball Throwing | Fi...   1️⃣9️⃣ Markov Chain Problem on Car Trading | Multi-Step Transition Probability    • Markov Chain Problem on Car Trading | Mult...   2️⃣0️⃣ Markov Chain Problem on Salesman’s City Visits | Find Long Run Probabilities    • Markov Chain Problem on Salesman’s City Vi...   2️⃣1️⃣ Markov Chain Problem on Three Boys Throwing a Ball | Find Probability After 3 Throws    • Markov Chain Problem on Three Boys Throwin...   💎 Support Us: Join this channel to support us & access exclusive perks 👇 🔗    / @officialmathematicstutor   #BCS301 #VTU #VTUMaths #MarkovChain #FixedProbabilityVector #StationaryDistribution #RegularStochasticMatrix #TransitionMatrix #ProbabilityDistribution #RandomVariables #JointProbabilityDistribution #TwoDimensionalDistribution #VTUSyllabus #MathsForCS #MathematicsForComputerScience #VTUExamPreparation #CSandEngineering #VTU2023