How to understand sufficient statistics? Easy and fun

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Sufficient Estimator with examples - Important for IIT- JAM Mathematical Statistics, ISS, CSIR-NET
Sufficient statistics 
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Today I have something very important for us to cover for IIT- JAM, ISS, CSIR_-NET.. One of the most desired criteria for a good estimator is - "SUFFICIENCY". The significance of sufficiency lies in the fact that if a sufficient estimator exists, it is absolutely unnecessary to considered any other estimator; a sufficient estimator ensures that all information a sample a sample can furnished with respect to the estimation of a parameter is being utilized.
Here, I will quickly cover the complete topic in 15 minutes. I understand that we have already done sufficient estimators of common distributions like Binomial, Normal. So, I choose not to repeat them and level up to study sufficient estimators of log-normal, logistic distribution. The questions are very interesting and important.
The way of writing answer is direct and fully covered. .

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Heyy... This is amazing.. Keep going..

manjushageorge
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In example two why did you took x1+2x2 =2!?

tanujanegi
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Mam create a telegram channel for providing notes

anonymousperson