Bounds for the moments of extreme order statistics for large samples

DOI10.1080/02331888308801714zbMath0536.62036OpenAlexW1984194832MaRDI QIDQ3321246

Narayanaswamy Balakrishnan, Prakash C. Joshi

Publication date: 1983

Published in: Series Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888308801714

zbMATH Keywords

approximationboundsnormal distributionnumerical calculationslarge samplesorthonormal Legendre polynomialsextreme order statisticsprobability integral transformation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (2)

On the Bounds for the Expected Maxima of Random Samples with Known Expected Maxima of Two Samples of Smaller Size ⋮ Bounds on the mean of the maximum of a number of normal random variables

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