Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study unfair permutations, which are generated by letting n players draw numbers and assuming that player i draws i times from the unit interval and records her largest value. This model is natural in the context of partitions: the score of the i th player corresponds to the multiplicity of the summand i in a random partition, with the roles of minimum and maximum interchanged.  study the distribution of several parameters, namely the position of player i , the number of inversions, and the number of ascents. To perform some of the heavy computations,  use the computer algebra package Sigma.
['Helmut Prodinger', 'Carsten Schneider', 'Stephan G. Wagner']
I am writing a research paper on a idea Unfair permutations
[{"from": "human", "value": "I am writing a research paper on a idea Unfair permutations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study unfair permutations, which are generated by letting n players draw numbers and assuming that player i draws i times from the unit interval and records her largest value. This model is natural in the context of partitions: the score of the i th player corresponds to the multiplicity of the summand i in a random partition, with the roles of minimum and maximum interchanged.  study the distribution of several parameters, namely the position of player i , the number of inversions, and the number of ascents. To perform some of the heavy computations,  use the computer algebra package Sigma."}]