Normal Distribution: Probability Density Function Derivation

Series on Normal Distribution:

[ThefamousMrcroissant]

EASILY the best video on deriving the probability density function. Every other one I watched thus far was completely incomprehensible due to not being rigorous, whereas you explained every step in an easy to grasp manner. Excellent video.

[rohitmadasu]

Best Video on the topic i would say ! .... Thank you

[m_tahseen]

Grt video... The only thing I found missing was linking the thought experiment to real world and highlighting the similarities and differences between psi, X and Y.

[finmatrixparadigm]

Thank u mam
For the derivation I was looking for which at last I got from u
Breakup up of the derivation is fully understood except some integration by parts, I will
Get to it in separate vedio
Thank God 99 % got to know, I finding vigorous implications in FRM, actuary,

[jacobwalker]

you should keep going with these vids, really helped me - aspiring self learner for data science/ a.i

[MrCigarro]

Great video, thank you. Regards from Puebla, México.

[Luckynina]

please explain why equation 9 in front of the integral has an h in the denominator. where did that come from.

[shivamsingh]

Plz continue making these r really great

[hiteshnayak]

Hello, This is a great video can we connect for a future prospect around this please.

[radiant_rhea]

@ 11:07, Any base in exponential can satisfy t(x+y)=t(x)+t(y). For example 2^Ax can also satisfy the requirement. Why e? I can understand from assumption 3 it makes sense to choose e cause of bell shape, but mathematically how do you choose e and not any other base?

[radiant_rhea]

Thanks. Why do we not use λ√(π/h²) for eq.8 or why do we not use 1 instead of √π in eq.9. Both eqs seem similar.

[rinkujaglan]

Plz clarify value of ^f(y )in equation. 2

[captainstreamer]

EQ 17 ( WRONG !! ) You put " f(x-u) " and complete the equation, saying shift of origin but you did not shift by expression because that's not shift that you did with that equation you just replace independent variable x by ( x - u ), , x ---> ( x-u ), ,, that's not called shift of origin ...

[anilkumarsharma]

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