One possibility for the notation for a mode is but I thought that was ugly, so here I used a hat
to indicate the peak in the probability density or mass function, even though this can also be used for other meanings.
One possibility for the notation for a mode is but I thought that was ugly, so here I used a hat
to indicate the peak in the probability density or mass function, even though this can also be used for other meanings.
In Bayesian estimation, the mode is given by the maximum a posteriori (MAP) estimate. Using the "MAP" subscript would suffice.
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One possibility for the notation for a mode is but I thought that was ugly, so here I used a hat
to indicate the peak in the probability density or mass function, even though this can also be used for other meanings.
I've searched all over the internet, read the wiki, read the StackExchange, asked ChatGPT about it, asked Wolfram Alpha GPT about this, but I am yet to decide what notation for median and mode is 'the most popular' (I'm not looking for the 'most common' notion as I know that there is none for median and mode.):
From what I've read, I KNOW that:
a) Notation differs A LOT from place to place, country to country, discipline, etc.
b) I can pick and choose 'whatever' as long as I define it in a sentence and the notation 'makes logical sense'.
c) There is no internationally standard symbol for median and mode
I'm not from America, and my country uses M_o for mode and M_d for median as defined in high school textbooks, BUT I AM JUST CURIOUS ABOUT the rest of the world.
I've settled for:
$$ \bar{x} $$i.e. x̄ for arithmetic mean (this is a no debate)$$ \tilde{x} $$i.e. x̃ for median (I saw it in a few places)$$ \hat{x} $$i.e. x̂ for mode (didn't see it used but GPT mentioned it, so I need further investigation)
just to stay consistent.
I AM VERY CURIOUS WHICH SYMBOLS DO OTHER PEOPLE USE AND WHERE (i.e. in which disciplines) (cuz I help kids learn math and always want to give (or at least tell) them the whole picture. )
Thank you in advance.