Problem Set 2 Solutions - Massachusetts Institute of Technology
... because of other elements being missorted. Similarly, some elements may appear entirely out of place, but be good because of other misplaced elements. A key element of the proof is showing that a badly sorted list has a lot of bad elements. Lemma 5 If the list A is not 90% sorted, then at least 10% ...
... because of other elements being missorted. Similarly, some elements may appear entirely out of place, but be good because of other misplaced elements. A key element of the proof is showing that a badly sorted list has a lot of bad elements. Lemma 5 If the list A is not 90% sorted, then at least 10% ...
De Finetti and Savage on the normative relevance of imprecise
... (de Finetti 1930, 1931) was unwavering over the length of his career: more than forty years after starting out he would open his magnum opus, Theory of Probability, with the iconic phrase «Probability does not exist» (de Finetti 1974, x). De Finetti’s operational definition of probability reflects t ...
... (de Finetti 1930, 1931) was unwavering over the length of his career: more than forty years after starting out he would open his magnum opus, Theory of Probability, with the iconic phrase «Probability does not exist» (de Finetti 1974, x). De Finetti’s operational definition of probability reflects t ...
An introduction to probability theory
... Example 1. You stand at a bus-stop knowing that every 30 minutes a bus comes. But you do not know when the last bus came. What is the intuitively expected time you have to wait for the next bus? Or you have a light bulb and would like to know how many hours you can expect the light bulb will work? H ...
... Example 1. You stand at a bus-stop knowing that every 30 minutes a bus comes. But you do not know when the last bus came. What is the intuitively expected time you have to wait for the next bus? Or you have a light bulb and would like to know how many hours you can expect the light bulb will work? H ...
Document
... – A phenomenon can be proven to be random (i.e.: obeying laws of statistics) only if we observe infinite cases – F.James et al.: “this definition is not very appealing to a mathematician, since it is based on experimentation, and, in fact, implies unrealizable experiments (N)”. But a physicist ca ...
... – A phenomenon can be proven to be random (i.e.: obeying laws of statistics) only if we observe infinite cases – F.James et al.: “this definition is not very appealing to a mathematician, since it is based on experimentation, and, in fact, implies unrealizable experiments (N)”. But a physicist ca ...
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... would be the most appropriate measure(s) of Ess. It seems that S(·, 1) = exp(H(·)), where H(·) is Shannon’s entropy, is the best choice; cf. Sect. 4 and 5. We also argued for expanding the key requirement P4 into a more general requirement P4∗ . The enhanced set of requirements is satisfied solely b ...
... would be the most appropriate measure(s) of Ess. It seems that S(·, 1) = exp(H(·)), where H(·) is Shannon’s entropy, is the best choice; cf. Sect. 4 and 5. We also argued for expanding the key requirement P4 into a more general requirement P4∗ . The enhanced set of requirements is satisfied solely b ...
