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Asymptotics for Weighted Random Sums [PDF]
Advances in Applied Probability, 2012 Let {Xi} be a sequence of independent, identically distributed random variables with an intermediate regularly varying right tail F̄. Let (N, C1, C2,…) be a nonnegative random vector independent of the {Xi} with N∈ℕ∪ {∞}. We study the weighted random sum SN=∑{i=1}NCiXi, and its maximum, MN=sup{1≤kN+1∑i=1kCiXi.
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A note on convergence of weighted sums of random variables [PDF]
, 1984 Under uniform integrability condition, some Weak Laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine.
Xiang Chen Wang +2 more
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Automated analysis of weighted voting games
, 2011 Weighted voting games (WVGs) are an important mechanism for modeling scenarios where a group of agents must reach agreement on some issue over which they have different preferences.
Jennings, Nick +8 more
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Weighted trigonometric sums over a half-period
, 2007 We derive formulas for evaluating weighted sums of trigonometric functions over evenly-spaced angles in the first quadrant. These results generalize those of a previous paper, where we considered trigonometric sums weighted by real, primitive, non ...
Chan, O-Yeat, O-Yeat Chan
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa +8 more
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Berry-Esseen bounds for typical weighted sums
, 2018 Bobkov SG, Chistyakov G, Götze F. Berry-Esseen bounds for typical weighted sums. Electronic Journal of Probability. 2018;23: 92.Under correlation-type conditions, we derive upper bounds of order 1/root n for the Kolmogorov distance between the ...
Chistyakov, Gennadiy +2 more
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The Role of Hematopoietic Cell Transplantation in Ataxia‐Telangiectasia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Ataxia‐telangiectasia (A‐T) is a DNA repair disorder characterized by neurodegeneration, immunodeficiency, and cancer predisposition. Hematopoietic cell transplantation (HCT) is an established therapy in related disorders such as Fanconi anemia (FA) and Nijmegen breakage syndrome (NBS), but its role in A‐T is unclear.
Laila Alkhouli +3 more
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, 2022 Eco-efficiency is generally defined as the ratio of an economic and an environmental variable. This interpretation is also cited in connection to its most popular implementation, known as the "BASF eco-efficiency portfolio analysis". There is, however, something strange about this.
Heijungs, R.
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Component-by-component construction of good intermediate-rank lattice rules
, 2003 It is known that the generating vector of a rank-1 lattice rule can be constructed component-by-component to achieve strong tractability error bounds in both weighted Korobov spaces and weighted Sobolev spaces.
Joe, Stephen, Kuo, Frances Y.
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