頁籤選單縮合
題 名 | Statistical Applications of the Poission-Binomial and Conditional Bernoulli Distributions |
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作 者 | Chen,Sean X.; Liu,Jun S.; | 書刊名 | Statistica Sinica |
卷 期 | 7:4 1997.10[民86.10] |
頁 次 | 頁875-892 |
分類號 | 319.5 |
關鍵詞 | Case-control studies; Conditional bernoulli distribution; Iterative weighted least squares; Logistic regression; PPS sampling; Poission-binomial; Survey sampling; Weighted sampling; |
語 文 | 英文(English) |
英文摘要 | The distribution of Z₁ + … + Z[fed7] is called Poisson-Binomial if the Z[93bc] are independent Bernoulli random variables with not-all-equal probabilities of success. It is noted that such a distribution and its computation play an important role in a number of seemingly unrelated research areas such as survey sampling, case-control studies, and survival analysis. In this article, we provide a general theory about the Poisson-Binomial distribution concerning its computation and applications, and as by-products, we propose new weighted sampling schemes for finite population, a new method for hypothesis testing in logistic regression, and a new algorithm for finding the maximum conditional likelihood estimate (MCLE) in case-control studies. Two of our weighted sampling schemes are direct generalizations of the "sequential" and "reservoir" methods of Fan, Muller and Rezucha (1962) for simple random sampling, which are of interest to computer scientists. Our new algorithm for finding the MCLE in case-control studies is an iterative weighted least squares method, which naturally bridges prospective and retrospective GLMs. |
本系統中英文摘要資訊取自各篇刊載內容。