=+if u x u, u x. There is an analogue in which Lebesgue measure is replaced by
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=+if u ≤x ≤u, u x. There is an analogue in which Lebesgue measure is replaced by a general probability measure u: If f is nonnegative and integrable with respect to u, then as h 10, 1
(31.36)
f(t)p(dt) -f(x)
«(x-h,x+h) (x-h.x+k]
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Related Book For
Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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