论文信息 - Sums of dependent Bernoulli random variables and disease clustering

Sums of dependent Bernoulli random variables and disease clustering

We develop new discrete distributions that describe the behavior of a sum of dependent Bernoulli random variables. These distributions are motivated by the manner in which multiple individuals with a lung disease appear to cluster within the same family. General results for these models include recursive relationships for their mass functions and moments.

Daniel Zelterman | D. Zelterman | Chang Yu | Chang Yu

[1] D. Bowman,et al. A Saturated Model for Analyzing Exchangeable Binary Data: Applications to Clinical and Developmental Toxicity Studies , 1995 .

[2] Daniel Zelterman,et al. Statistical Inference for Familial Disease Clusters , 2002, Biometrics.

[3] D. Zelterman,et al. EXACT INFERENCE FOR FAMILY DISEASE CLUSTERS , 2001 .

[4] D. Zelterman. Goodness-of-Fit Tests for Large Sparse Multinomial Distributions , 1987 .

[5] A. W. Kemp,et al. Univariate Discrete Distributions , 1993 .

[6] P. Altham,et al. Two Generalizations of the Binomial Distribution , 1978 .

[7] Shelby J. Haberman,et al. Log-Linear Models and Frequency Tables with Small Expected Cell Counts , 1977 .

[8] R. Kodell,et al. Tests of Independence, Treatment Heterogeneity Dose-Related Trend with Exchangeable Binary Data , 1996 .

[9] D. Bowman,et al. A full likelihood procedure for analysing exchangeable binary data. , 1995, Biometrics.

[10] John W. McDonald,et al. Marginal regression analysis of a multivariate binary response , 1995 .