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Minimal sufficient statistics for a general class of mixed models

✍ Scribed by AndréI. Khuri


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
303 KB
Volume
35
Category
Article
ISSN
0167-7152

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✦ Synopsis


Khuri and Ghosh (1990)

used a certain technique to obtain minimal sufficient statistics for the unbalanced random two-fold nested model. The present article provides an extension of this technique to a general class of unbalanced models with fixed and random effects.


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✍ Tiee-Jian Wu 📂 Article 📅 1989 🏛 Springer Japan 🌐 English ⚖ 498 KB

Let PN and QN, N>\_ 1, be two possible probability distributions of a random vector Xu = (Xm .... ,XNN), whose components are N independent. Suppose PN and QN have respective densities ps = iH=~f(xNi --N N ON) and qN ----i ~=l = f(xNi-ONi), where ON = N-1 i=1 y' ONi, such that ~i~umax [ONi-ON[ = O(N