On the longest length of consecutive integers |
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| Authors: | Min Zhi Zhao Qi-Man Shao |
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| Affiliation: | [1]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China [2]Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, P. R. China |
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| Abstract: | Choose m numbers from the set {1, 2, …, n} at random without replacement. In this paper we first establish the limiting distribution of the longest length of consecutive integers and then apply the result to test randomness of selecting numbers without replacement. |
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| Keywords: | Sampling without replacement consecutive integers limit distribution test of randomness |
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