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Journals / 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
Pages
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Publication Date
2018-08-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:By using results from function space theory we give a characterization of when lacunary quasi power series sequences are basic in $C[0, 1]$.
📊
Key Findings & Data:The paper discusses the links with unbiased estimable functions and the subspaces generated by the density of the lacunary quasi power series distributions.
💡
Conclusion & Impact:This extends some known results in Bleimann, Butzer and Hahn's approximation operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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