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UnitAll (738)Analysis & Linear AlgebraComplex Analysis, Algebra & TopologyODE, PDE & Applied MathematicsProbability, Statistics & Linear Programming
PartPart B (Single Choice: +3 / −0.75)Part C (Multi-Select: +4.75 / 0)Part A (Aptitude: +2 / −0.5)Year
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CSIR NET December 2025 · Part B (3 Marks)Probability, Statistics & Linear Programming#an-unreachable-absorbing-state-splits-the-chain-into-two-closed-classe

Let {Xn:n≥0X_{n} : n \ge 0} be any homogeneous Markov Chain on the state space S = {1,2,3,4} having the transition probability matrix P=(pij)P = (p_{ij}) given by row 1 = (1/4, 0, 2/3, 1/12), row 2 = (0, 1, 0, 0), row 3 = (1/12, 0, 1/4, 2/3), row 4 = (2/3, 0, 1/12, 1/4). Which of the following statements about stationary distributions of any such Markov Chain is true?

Single choice · Limit Theorems and Markov Chains

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Topic-wise weightage →counted from these papers, with each paper's coverage shownWhat changed between two papers →by share of each paper, not raw countsWhat each paper cut off at →official CSIR figures, category-wise, with the sourcePart A general aptitude →30 of the 200 marks, and no mathematics