from probability to decision analysis
DESCRIPTION
Introductory remarks made on the philosophy of probability and decision analysis from an Indian context, to an audience of Vaidya Scientist Fellows at IAIM (Institute of Ayurveda and Integrative Medicine), Bangalore.TRANSCRIPT
From Probability to Decision Analysis
From Sankhyana Shaastra to Nirnaya Shaastra
Nala Damayanti
Nala lost his kingdom and wealth to brother Pushkara in
game of dice
Makes a deal with King Rituparna Teach charioteering, learn gambling
Challenges Pushkara to a rematch,wins this time, also remarries his wife
“Knowledge I possess of the game of dice, thus is my skill in numbers”
http://karatalaamalaka.wordpress.com/2011/04/20/probability-theory-gambling-and-the-mahabharata/
What tree is this?
Photo by: Jan Ainali
Hint: This is the fruit of the tree
Photo by: J. M. Garg
The Challenge: Estimate number of leaves without actually counting. Rituparna estimated number of leaves as 5 million (panchakoti) and fruits as 2095!
http://karatalaamalaka.wordpress.com/2011/04/20/probability-theory-gambling-and-the-mahabharata/
Rituparna’s demo
Vibhitaka (bibitaki)
Ganesha, the first Bayesian god
Epistemic vs Aleatory Knowledge
Karthik’s challenge - go around the world three times
Goes around his parents three times!
कमर्ण्येवािधकारस्ते मा फलेषु कदाचन | मा कमर्फलहतेुभूर्मार् ते सङ्गोऽस्त्वकमर्िण ||२- ४७||
Our competence lies in action, not in the fruits thereof. Therefore focus on right action, and be not attached to inaction.
Ronald Howard
You cannot judge a decision from the outcome.
Drive Drunk Drive Sober
Bad Decision, Bad Outcome
Crash
Reach Safely
Good Decision, Bad Outcome
Bad Decision, Good Outcome
Good Decision, Good Outcome
There are those who believe that there is something “cold and inhuman” about rational analysis. I believe that to be human is to be reasoning as well as compassionate. My ideal here is Buddha:
“Perhaps the most striking thing about him, to use the words of J. B. Pratt, was his combination of a cool head and a warm heart, a blend which shielded him from sentimentality on the one hand and indifference on the other. He was undoubtedly one of the great rationalists of all times, resembling in this respect no one as much as Socrates. Every problem that came his way was automatically subjected to the cold, analytical glare of his intellect. First, it would be dissected into its component parts, after which these would be reassembled in logical, architectonic order with their meaning and import laid bare (Smith [29]).”
Perhaps Buddha was the first decision analyst.
—Ronald Howard
Rev. Thomas Bayes
Pierre-Simon Laplace
An Essay towards solving a Problem in the Doctrine of Chances, published in
1763 after his death
Modern father of probability theory
E. T. JaynesProbability: The Logic of Science
Prof. Ronald Howard, Stanford University
Named our field and did his first formal Decision Analysis in 1964