Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a test that takes random samples drawn from a monotone distribution and decides whether or not the distribution is uniform. The test is nearly optimal in that it uses at most O(n p logn) samples, where n is the number of samples that a genie who knew all but one bit about the underlying distribution would need for the same task. Conversely,  show that any such test would require ( n p logn) samples for some distributions.
['Jayadev Acharya', 'Ashkan Jafarpour', 'Alon Orlitsky', 'Ananda Theertha Suresh']
I am writing a research paper on a idea A Competitive Test for Uniformity of Monotone Distributions
[{"from": "human", "value": "I am writing a research paper on a idea A Competitive Test for Uniformity of Monotone Distributions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a test that takes random samples drawn from a monotone distribution and decides whether or not the distribution is uniform. The test is nearly optimal in that it uses at most O(n p logn) samples, where n is the number of samples that a genie who knew all but one bit about the underlying distribution would need for the same task. Conversely,  show that any such test would require ( n p logn) samples for some distributions."}]