Geodesic
Uniform Limit Theorems under length-biased sampling and type I censoring
Teoriâ slučajnyh processov, Tome 25 (2020) no. 2, pp. 93-106

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In recent years, in view of theory of empirical processes, authors have become more interested in the uniform analogue of the three fundamental theorems: the uniform law of large numbers of Glivenko-Cantelli type, the uniform central limit theorem for Donsker type and the functional law of the iterated logarithm (LIL). In this paper, under the bracketing entropy conditions, the uniform law of large numbers, uniform central limit theorem and the uniform LIL of Strassen type have been investigated in the case of length-biased and type I censoring.
Keywords: Bracketing entropy, Length-biased sampling, Uniform limit theorems. 
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     author = {Raheleh Zamini and Sarah Jomhoori},
     title = {Uniform {Limit} {Theorems} under length-biased sampling and type {I} censoring},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {93--106},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2020_25_2_a9/}
}
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Raheleh Zamini; Sarah Jomhoori. Uniform Limit Theorems under length-biased sampling and type I censoring. Teoriâ slučajnyh processov, Tome 25 (2020) no. 2, pp. 93-106. http://geodesic.mathdoc.fr/item/THSP_2020_25_2_a9/