Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe a simple method of finding the limit distribution of the time of first passage over a high level for a random sequence (or random process). The method reduces the considered problem to a ll-studied problem of finding the distribution of this random sequence (or process) at a certain fixed time. This allows to consider not only traditional sums of independent random variables but also sums of dependent random variables. As examples, sums of independent random variables with stable limit distribution functions, sequential testing of hypotheses, and problems of the first passage over a high level for Gaussian processes with strong dependencies are considered.
['Marat V. Burnashev', 'G. K. Golubev']
I am writing a research paper on a idea On limit distributions of the time of first passage over a high level
[{"from": "human", "value": "I am writing a research paper on a idea On limit distributions of the time of first passage over a high level"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe a simple method of finding the limit distribution of the time of first passage over a high level for a random sequence (or random process). The method reduces the considered problem to a ll-studied problem of finding the distribution of this random sequence (or process) at a certain fixed time. This allows to consider not only traditional sums of independent random variables but also sums of dependent random variables. As examples, sums of independent random variables with stable limit distribution functions, sequential testing of hypotheses, and problems of the first passage over a high level for Gaussian processes with strong dependencies are considered."}]