To clarify the question, we are trying to find the general case for which we get the most entropy. What probability distribution, given by P={p1, p2, p3}, would give us the most entropy? For example, P={1/3, 1/3, 1/3} could be an answer (but I don't know the answer)
Homework Answers
The entropy is maximum when P={1/3, 1/3, 1/3}
The entropy S associated with a random variable in the discrete case is
The logarithm is with base 2
The estimated entropy for P={p1, p2, p3} is -1/3log1/3 -1/3log1/3 -1/3log1/3 = 1.585 bits.
In all other cases the value of entropy will be less than 1.585 . The entropy will be maximum when p1=p2=p3
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To clarify the question, we are trying to find the general case for which we get the most entropy...
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Need the process that how we get P2 P1 P4 P3 and waiting time
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additional information · Question: When I given by Shannon is equivalent to S given by Gibbs?...
additional information
· Question: When I given by Shannon is equivalent to S given by Gibbs? 2. General Properties of the Statistical Entropy 2.1 The Boltzmann Definition os given by Boltzmann relies on the postulate of equal probability of the W accessible microstates of an isolated system. S = kgInW(E) 2.2 The Gibbs Definition o A more general definition of the statistical entropy was proposed by Gibbs : S= -kopi Impi o The Boltzmann of the entropy is a special...
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Need the process that how we get P2 P1 P4 P3 and waiting time
please
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In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into 0.25-kmregions. They then counted the number of rockets that landed in each region, with the results shown in the table below. Complete parts (a) through (e). Number of rocket hits 0 1 2 3 4 5 6 7 Observed number of regions 221 215 100 32 8 0...
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additional information
· Question: When I given by Shannon is equivalent to S given by Gibbs? 2. General Properties of the Statistical Entropy 2.1 The Boltzmann Definition os given by Boltzmann relies on the postulate of equal probability of the W accessible microstates of an isolated system. S = kgInW(E) 2.2 The Gibbs Definition o A more general definition of the statistical entropy was proposed by Gibbs : S= -kopi Impi o The Boltzmann of the entropy is a special...
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