Random Weighting Estimation for Quantile Processes and Negatively Associated Samples |
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| Authors: | Shesheng Gao Yongmin Zhong Chunmeng Sang Bijan Shirinzadeh |
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| Institution: | 1. School of Automatics , Northwestern Polytechnical University , Xi'an , China;2. School of Aerospace, Mechanical and Manufacturing Engineering , RMIT University , Bundoora , Australia;3. Department of Mechanical and Aerospace Engineering , Monash University , Melbourne , Australia |
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| Abstract: | This article presents new theories of random weighting estimation for quantile processes and negatively associated samples. Under the condition that X 1, X 2,…, X n are independent random variables with a common distribution, the consistency for random weighting estimation of quantile processes is rigorously proved. When X 1, X 2,…, X n are not independent of each other, random weighting estimation of sample mean is established for negatively associated samples. |
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| Keywords: | Consistency Negatively associated samples Quantile processes Random weighting estimation Sample mean |
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