Prediction in a trivariate normal distribution via a linear combination of order statistics

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Tarih

2009

Dergi Başlığı

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Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

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Özet

In this paper, by considering a trivariate normal distribution, we derive the exact joint distribution of one variable and a linear combination of order statistics from the other two variables. We show that this joint distribution is a mixture of unified bivariate skew-normal distributions. This mixture for them enables us to predict the variable based on a linear combination of order statistics from the other two variables. We finally illustrate the usefulness of these results by using a real-life data.

Açıklama

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Kaynak

International Conference of Mathematical Sciences

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Sayı

Künye

Jamalizadeh, A. ve Habibi, M. (2009). Prediction in a trivariate normal distribution via a linear combination of order statistics. Maltepe Üniversitesi. s. 68.