Unified generalized iterative scaling and its applications

Gao, Wei; Shi, Ning; Tang, Man‐Lai; Fu, Lianyan; Tian, Guo‐Liang

doi:10.1016/j.csda.2009.10.017

Cited by 3 publications

(1 citation statement)

References 28 publications

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“…For relevant discussions, one can consult M c D onald and D iamond (1990), A gresti and C oull (2002), G ao and S hi (2003), S ilvapulle and S en (2005) and B hattacharya (2006). Recently, G ao et al. (2010) proposed unified generalized iterative scaling (UGIS) algorithm for finding the I ‐projection onto some closed, convex sets and established the relationships between the UGIS and maximum likelihood estimation of restricted parameters for log‐linear models.…”

Section: Introductionmentioning

confidence: 99%

Estimating cell frequencies under inequality constraints based on the Kullback–Leibler information

Gao

Shi

2011

Statistica Neerlandica

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This article considers the problem of estimating the cell frequencies in a contingency table under inequality constraints. Algorithms are proposed for cell frequency estimation via minimizing the Kullback–Leibler distance subject to inequality constraints. The proposed algorithms are shown to be simple, easy to be used, fast, and reliable. Theorems are derived to guarantee the convergence of the algorithms. Applications and extensions of the algorithms are provided for more general problems than contingency table. The R programs that implement the proposed algorithms are presented in Appendix B.

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