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a seneta’s conjecture and the williamson transform
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نویسنده
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omey edward ,cadena meitner
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منبع
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sahand communications in mathematical analysis - 2023 - دوره : 20 - شماره : 4 - صفحه:227 -241
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چکیده
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Considering slowly varying functions (svf), seneta in 2019 conjectured the following implication, for α ≥ 1, ∫ x 0 yα−1(1 − f(y))dy is svf ⇒ ∫ x 0 yαdf(y) is svf, as x → ∞, where f(x) is a cumulative distribution function on [0,∞). by applying the williamson transform, an extension of this conjecture is proved. complementary results related to this transform and particular cases of this extended conjecture are discussed.
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کلیدواژه
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regular variation ,de haan class ,truncated moments ,williamson transform
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آدرس
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dept. mees, campus brussels, belgium, universidad de las fuerzas armadas, ecuador
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پست الکترونیکی
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meitner.cadena@gmail.com
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Authors
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