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Properties of Legendre Series Estimation of Probability Density

An unknown density function f(x) and its derivatives have been estimated by means of Legendre functions pⱼ... The estimates use the partial sums of series of Legendre functions with coefficients âⱼₙ = n⁻¹ Σₖ₌₁ⁿ pⱼ(Xₖ) where X₁,...,Xₙ represent a sequence of independent identically distributed rando...

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Autore principale: El Fahham Mostafa
Natura: Artigo
Lingua:Inglês
Pubblicazione: Cairo University, Faculty of Graduate Studies for Statistical Research (FGSSR) 1985-06-01
Serie:The Egyptian Statistical Journal
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Accesso online:https://esju.journals.ekb.eg/article_316594_fd4c2ed78a58620823fc1d7a876357ca.pdf
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