Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the empirical meaning of randomness with respect to a family of probability distributions Pθ, where θ is a real parameter, using algorithmic randomness theory. In the case when for a computable probability distribution Pθ an effectively strongly consistent estimate exists,  show that the Levin's a priory semicomputable semimeasure of the set of all Pθ-random sequences is positive if and only if the parameter θ is a computable real number. The different methods for generating "meaningful" Pθ-random sequences with noncomputable θ are discussed.
["Vladimir V. V'yugin"]
I am writing a research paper on a idea On empirical meaning of randomness with respect to a real parameter
[{"from": "human", "value": "I am writing a research paper on a idea On empirical meaning of randomness with respect to a real parameter"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the empirical meaning of randomness with respect to a family of probability distributions P\u03b8, where \u03b8 is a real parameter, using algorithmic randomness theory. In the case when for a computable probability distribution P\u03b8 an effectively strongly consistent estimate exists,  show that the Levin's a priory semicomputable semimeasure of the set of all P\u03b8-random sequences is positive if and only if the parameter \u03b8 is a computable real number. The different methods for generating \"meaningful\" P\u03b8-random sequences with noncomputable \u03b8 are discussed."}]