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3
votes
0answers
41 views

Zipf's vs Self-similar: are they really the same

Recently I ran into a test using both zipf's and self-similar generated datasets. I followed the description from Jim Gray's paper on generating such datasets (Quickly Generating Billon-Record ...
0
votes
0answers
80 views

Sales prediction of Amazon Sales Rank

I understand that Zipf's Rank-size distribution would allow me to estimate the sales of a book given the amazon sales rank. How can I fit the distribution without knowing book sales leading to a rank. ...
0
votes
1answer
271 views

How to calculate zipf exponent of page degree distribution?

I want to calculate the exponent of the function which shows zipf's law in data. I'm working in the context of graph node degree analysis and want to comprehend results shown by Border et al. on a new ...
0
votes
1answer
193 views

Discretize frequency of words that follow zipfian distribution

How could I discretize the frequency of words found in a corpus that follow a zipfian distribution? Are there standard methods? It should create bins of exponential-increasing size. My goal is to ...
1
vote
0answers
247 views

Mean and median in Zipf's distribution

I have a collection of $10^5$ essays, each of which on average contains $10^3$ distinct words. There are $10^6$ distinct words in the entire collection. If I index every word what is the mean and ...
7
votes
3answers
1k views

How to estimate parameters for Zipf truncated distribution from a data sample?

I have a problem with the estimation parameter for Zipf. My situation is the following: I have a sample set (measured from an experiment that generates calls that should follow a Zipf distribution). ...
10
votes
2answers
3k views

How to calculate Zipf's law coefficient from a set of top frequencies?

I have several query frequencies, and I need to estimate the coefficient of Zipf's law. These are the top frequencies: ...
6
votes
1answer
751 views

Is principal components analysis valid if the distribution(s) are Zipf like? What would be similar to PCA but suited to non gaussian data?

I'm analyzing people based on their twitter stream. We are using a 'word bag' model of users, which basically amounts to counting how often each word appears in a persons twitter stream (and then ...