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On the strong consistency of a solution to the likelihood equation

Statistics & Probability Letters, 1987
Abstract In a recent paper Basu and Ghosh (1980) established weak consistency and asymptotic normality of a solution to the likelihood equation in two important cases arising in life testing under type I censoring. In this paper we supplement the work of Basu and Ghosh by establishing strong consistency. This result is obtained as an application of a
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Strong consistency of FSD detection schemes

[1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers, 2002
Recently, a fast signal subspace decomposition technique (FSD) suitable for parallel processing which achieves a significant reduction in computational complexity for large arrays with few sources was developed. Two new detection schemes used in conjunction with the FSD algorithm are presented.
Guanghan Xu, R. Roy, Thomas Kailath
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Uniform strong consistency of sample quantiles

Statistics & Probability Letters, 1998
Abstract It is well known that if xq(F) is the unique qth quantile of a distribution function F, then Xk(n):n with k(n)/n → q is a strongly consistent estimator of xq(F). However, for every e >0 and for every, even very large n, supF∈F,PF{|Xk(n):n—Xq(F)|>e}=1.
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A strong local consistency for constraint satisfaction

Proceedings 11th International Conference on Tools with Artificial Intelligence, 2003
Filtering techniques are essential for efficient solution searching in a constraint network (CN). However, for a long time, it has been considered that to efficiently reduce the search space, the best choice is the limited local consistency achieved by forward checking.
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Uniform strong consistency of robust estimators

Statistics & Probability Letters, 2003
In the robustness framework, the distribution underlying the data is not totally specified and, therefore, it is convenient to use estimators whose properties hold uniformly over the whole set of possible distributions. In this paper, we give two general results on uniform strong consistency and apply them to study the uniform consistency of some ...
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Consistency of a strong uniformization principle

Colloquium Mathematicum, 2017
Saharon Shelah, Paul Larson
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