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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 4

Basic sequences and unbiased estimation in quasi power series distributions

Faqir Muhammad
M. Kazim Khan
Sayfa
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Yayın Tarihi
2018-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This extends some known results in Bleimann, Butzer and Hahn's approximation operator.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:By using results from function space theory we give a characterization of when lacunary quasi power series sequences are basic in $C[0, 1]$.
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Temel Bulgular & Veri:The paper discusses the links with unbiased estimable functions and the subspaces generated by the density of the lacunary quasi power series distributions.
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Sonuç & Katkı:This extends some known results in Bleimann, Butzer and Hahn's approximation operator.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:UMVU estimators · unbiased estimators · lacunary sequences

Abstract

By using results from function space theory we give a characterization of when lacunary quasi power series sequences are basic in $C[0, 1]$. The paper discusses the links with unbiased estimable functions and the subspaces generated by the density of the lacunary quasi power series distributions. The paper also provides the rates of convergence of all the moments of the classic odds ratio estimator. This extends some known results in Bleimann, Butzer and Hahn's approximation operator.

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Bu Makaleye Atıf Yap

Muhammad, F., Khan, M. K. (2018). Basic sequences and unbiased estimation in quasi power series distributions. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 4. https://ajindex.com/articles/1402911

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