PYQs on Markov Chain | June 2011 - 2023 | Fully Short Cut Tricks

[@tisrotadharchowdhury8771]

If a transition probability matrix is just doubly stochastic, it does not necessarily imply that the markov chain has unique and uniform stationary distribution. Uniqueness follows from irreducibility (assuming that the markov chain is finite, ofc). If it is irreducible, then aperodicity implies that the unique st. dist. is 1/n for each state. So just checking if the matrix is doubly stochastic isn't enough. Checking if it is irreducible and aperiodic is also needed to conclude whether the st. dist. is 1/n or not.

[@RahulYadav-kk4zy]

25:40 There will be infinite stationary distribution... (1/3, 1/3, 0,0,1/3) is just one of them.... (1/4,1/4,0,0,1/2) is also a stationary distribution and similarly many more.

[@Jazkahn]

really appreciate what you are doing. This will be super helpful. Thank you

[@ankitkumar-pq1xg]

Sir please upload the video on linear algebra part 2

[@NikitaRathee-ml6qn]

Thank you sir ..for clearing every single point .and giving tips with each question.. which are really helpful

[@biswajitsingha8574]

For Feb-2022 (1:34:30) you assumed P= Identity Matrix [1 0 , 0 1] But that was not Irreducible Markov Chain. (Said in the question)

[@anujrawat3046]

your tricks are really helpful thankyou so much sir

[@pmounika3750]

Nice explanation sir...clearly understood. .thank you sir

[@DrHarishGarg]

You're most welcome

[@SADDAMHUSSAIN-mw3cv]

For option (a) we have counter example for states 1 and2. P= [0 1 1 0] orthogonal matrix. Here states 1 and 2 are recurrent

[@sanjudas5294]

35:55 the answer is calculated on X1 = 1 but is asking for X1=2. However none of the answers seem correct anyway

[@shaistha1346]

Thank you so much sir for this wonderful video

[@arbajpathan4739]

Thank you so much sir .. Very well explained ✨✨

[@sunnysolhan1020]

Thanku so much sir , upload one lecture of modern algebra ( Group theory , sylow package and ring theory.) if possible.Your video lectures are very helpful.

[@KajalTripathi-b4k]

Yes.

[@ishadevi2071]

Thnku so much sir 😊

[@bakulmanna7123]

Thank you so much sir ❤

[@SADDAMHUSSAIN-mw3cv]

1:42:46

[@my_thoughts_to_you]

Sir can you check 106 question again? You prove it with a particular example .but in general is it true? Please guide sir

[@classicallycomposed]

@46:36, the counter example transition probability matrix is wrong...if 1 is recurrent state then both the rows will be [0 1], and remain so for higher powers.

[@komalshekhawat7171]

At 29:30 the Markov chain is double stochastic as sum and column row is 1. Does not it means that they are unique stationary

[@sanjudas5294]

No, it only means that there is one stationary probability which can be found using the given trick i.e. 1/no of states

[@tuhinaghorui7766]

Thanku so much sir.....

[@shweta9227]

Thank you sir🙏

[@hajeeranasreenqueenofscience]

1:25:26 options b is correct because 0,2,&6 are recurrent only 4 is transient.Am i correct sir ?

[@biswajitsingha8574]

(1:43:10). June-2017 You said every states are transient. And you gave an example, where state-0 is Transient. It's ok. But State-1 is Recurrent( according to your example), but you were saying it's transient. In finite case every state can't be transients. At least one should be recurrent. (I think if it's infinitely countable then it may have, other wise opt-c incorrect.)

[@Sanchita1501]

B &C right 👍

[@priyachinnupriyachinnu1347]

Thank you so much sir

[@rashmimalik9769]

Super sir

[@priyaGoyanka]

30:09 yha initial prob. Ku nhi li ??

[@vasantinakum2273]

Thank you sir

[@4kfilms614]

1:24:16 how state 0 is transient while through diagram it is recurrent

[@Siyagupta52]

If you go from 0-2-4-6 but can't come back to zero hence transient

[@Maths-Stats-By-BB-Sir]

One thing not clear to me. In one question sir said chain is reducible and so stationary probability distribution does not exist and in another question in 1.27.20 second he said reducible mc so stationary probability distribution exits. Which one is true ????

[@abisrockers6911]

Csir net June 17..in 106 th que opt 3 is false sir

[@anubhutivasisht567]

Modern algebra video please

[@arpitabhowmik4743]

In june 2011 question 51. Only one option should be correct.

[@rameshpadala82]

Sir can you send me csir net question paper sampling techniques and design of experiments solution

[@RanjangamingYT7477]

1:19:49 not true given question only c answer correct

[@abhijeetkumarmaurya4697]

Sir please please refer a book for stochastic process except J medhi

[@DrHarishGarg]

J Medium is the best book

[@Jyotisingh2234-s7w]

Sir please make video on theory of markov chain

[@DrHarishGarg]

Already 5 lectures on Theory of Markov chain uploaded....

[@Jyotisingh2234-s7w]

@@DrHarishGarg Ok sir l will check it. Thank you very much.

[@RanjangamingYT7477]

29:37 not true ha i think c,d option correct

[@harjinderpal4373]

Sir please make a one shot video for LPP also.

[@DrHarishGarg]

Dear.... I suggest you can watch my previous LPP based videos related to Gate examination... They are more than enough and all short cut tricks explianed in Their respective year wise video.

[@harjinderpal4373]

Okay sir...... and thank you for your feedback 🙏

[@akhileshbauddh7596]

Hindi language me sir explain kijiye

[@asmaaasmagb9333]

please sir I send you a message in your email about PSO optimization please answered me

[@SumitKumar-qi2vc]

Question no 106 me at least one transient state ho ye kaise bolenge ager 1,2 dono self loop wale ho toh??

[@mdnuralam015]

Q.n 106 b&c are correct.

[@sonaligoud-de1cj]

Thanks lot sir 🙏🙏🙏🙏🙏

[@completeknowledgeforlife5972]

Thanks sir 👌👌👌❤🙏