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Wednesday, October 16, 2024

Fisher Info: A Medical Dissection of an Enigmatic Idea | by Sachin Date | Oct, 2024


(Picture by Creator)

Are you able to guess the true fraction of yellow M&Ms within the universe?

In his e book A Temporary Historical past of Time, Stephen Hawking describes his battle to elucidate relativistic physics with out utilizing a single equation.

His editor had warned him in actually these phrases: each equation you employ will scale back your readership by half.

Confronted with the vivid risk of near-zero gross sales, Hawking printed A Temporary Historical past of Time with precisely one equation: E = mc².

The e book offered 25 million copies — a shocking achievement from any angle.

Had Professor Hawking, even for probably the most urgent of wants, included the components for Fisher Info in his e book, the gross sales figures may need been riveting for an altogether totally different purpose.

For right here lies, in its exquisitely inscrutable glory, the components for Fisher Info:

Evaluate, if you’ll, the notational nightmare proven above with E=mc².

For bonus bewilderment, the above components comes with the next chewy definition:

Given a random variable X with a chance distribution f(X | θ), the Fisher Info…

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