Expressions for moments of order statistics and records from the skew-normal distribution in terms of multivariate normal orthant probabilities

DOI10.1007/s10260-015-0306-yzbMath1416.62273OpenAlexW2014070787MaRDI QIDQ897847

Mahdi Salehi, Mahdi Doostparast

Publication date: 8 December 2015

Published in: Statistical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10260-015-0306-y

zbMATH Keywords

order statisticsrecord valuesgoodness-of-fit testsunified skew normal distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Order statistics; empirical distribution functions (62G30)

Related Items (3)

A semi-parametric density estimation with application in clustering ⋮ Moments of order statistics and \(k\)-record values arising from the complementary beta distribution with application ⋮ The exact density of the sum of independent skew normal random variables

Uses Software

• R
• mnormt
• sn
• Maxlik
• maxLik

Cites Work

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• Prediction of order statistics and record values based on ordered ranked set sampling
• Optimal record-based statistical procedures for the two-parameter exponential distribution
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• MOMENTS OF ORDER STATISTICS FROM A NORMAL POPULATION

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