Consistent Estimator

[@EduNikunjaPanda]

Most underrated channel on statistics

[@mrprincekumarsingh2253]

🎯 Key Takeaways for quick navigation:
00:00 📚 Introduction to Consistent Estimators
- Consistent estimators are a key property in statistics.
- They aim to reduce variance in estimations.
- This video discusses the concept of consistent estimators and their importance.
02:32 🎯 Definition of Consistent Estimator
- A consistent estimator is one where, as the sample size grows, it converges to the true parameter in probability.
- It's crucial for large sample sizes but not guaranteed for smaller ones.
- The video explains the definition and its importance.
06:14 📈 Proving Sample Mean as a Consistent Estimator
- Sample mean (x-bar) is shown to be a consistent estimator for the population mean (mu).
- The proof is based on the Chebyshev inequality.
- It demonstrates the properties required for a consistent estimator.
08:06 📊 Linear Combinations of Consistent Estimators
- If t1 and t2 are consistent estimators of gamma1 and gamma2, a linear combination of them (at and bt) is also a consistent estimator.
- The linearity property of consistent estimators is discussed.
- This helps in understanding how to create new consistent estimators from existing ones.
10:00 💡 Bernoulli Distribution and Consistent Estimation
- The sample mean of a Bernoulli distribution is proven to be a consistent estimator of the Bernoulli parameter (p).
- The proof is shown by analyzing the mean and variance of the sample.
- It highlights the concept of using the binomial distribution in such cases.
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[@SAURABHKUMAR-lw7dz]

Best sir. Best and only one content for testing of hypothesis ❣️.. Gonna share to every batchmates

[@keerthy1209raj8]

Learning statistics🙏🏻🙏🏻 thanks a lot. You are such an amazing teacher

[@PrashantSingh-wb5bo]

excellent teaching sir .Thanks a lot sir you are the best teacher.

[@DrHarishGarg]

Many thanks for the appreciation.... I hope you can share with the others too.... Happy learning and keep watching

[@statusroom408]

at 7:37 in video var(x bar)=1/n^2[var(x1)+var(x2)+....var(xn)]
so how you have written 1/n^2

[@DrHarishGarg]

Using the property of Variance, as Var(aX)=a^2 Var(X).... I hope it clear now

[@statusroom408]

@@DrHarishGarg yes clear now . Thankyou sir 😊

[@kalpnajha1908]

Sir by any chance do you have any whatsapp or telegram group where one can get the pdf you are teaching from

[@gharmanshuarora9874]

Really very knowledgeable,
Please sir make more videos like this...

[@DrHarishGarg]

Thanks...

[@arissaraworapukdee3538]

I have a question f(x)=1/2(1+theta X) Find an unbiased estimator. and is a constant estimator of theta

[@shejalpatel9896]

Thank you so much sir❤😊

[@PramodKatore]

Knowledgeable video, thank you sir

[@DrHarishGarg]

Thanks

[@DrHarishGarg]

Sufficient estimator lecture is uploaded... You may watch

[@PramodKatore]

@@DrHarishGarg Sure sir. I was waiting for the same

[@cutepie7]

Sir is same conditions for iid variable?

[@kavyayugg]

iid?

[@kalyanjyotisardar1067]

very helpful sir

[@arnavuppal6461]

Sir mera Probability ka test 2 hrs mai hai. Kaise pass ho jau ?

[@Food_lover.78]

Thank you

[@athulyababu3665]

Sir , please, can you explain the unbiased estimator which is not consistent with one example!!!

[@DrHarishGarg]

Already given in the lecture

[@staypositive215]

Thank you sir ❣️

[@PankajKumar-ot3mg]

Thanks a lot sir

[@khanfaishal4780]

Thank you so much

[@bhavini2825]

Thank you sir

[@mathematicshub8470]

Sir Fisher Neuman criterion pai aik video banayai please

[@DrHarishGarg]

Okay....

[@priyansukumar3875]

Thank you so much sir. try unacademy for jam aspirants

[@DrHarishGarg]

Will think

[@AmanSingh-r3q3n]

its okay