Yıl 2018, Cilt 47, Sayı 4, Sayfalar 877 - 887 2018-08-01

Basic sequences and unbiased estimation in quasi power series distributions

Faqir Muhammad [1] , M. Kazim Khan [2]

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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.
UMVU estimators, unbiased estimators, lacunary sequences, Schauder basis
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Birincil Dil en
Konular Matematik ve İstatistik
Dergi Bölümü Matematik
Yazarlar

Yazar: Faqir Muhammad

Yazar: M. Kazim Khan (Sorumlu Yazar)

Bibtex @araştırma makalesi { hujms453112, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {1303-5010}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {877 - 887}, doi = {}, title = {Basic sequences and unbiased estimation in quasi power series distributions}, key = {cite}, author = {Khan, M. Kazim and Muhammad, Faqir} }
APA Muhammad, F , Khan, M . (2018). Basic sequences and unbiased estimation in quasi power series distributions. Hacettepe Journal of Mathematics and Statistics, 47 (4), 877-887. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453112
MLA Muhammad, F , Khan, M . "Basic sequences and unbiased estimation in quasi power series distributions". Hacettepe Journal of Mathematics and Statistics 47 (2018): 877-887 <http://dergipark.gov.tr/hujms/issue/38872/453112>
Chicago Muhammad, F , Khan, M . "Basic sequences and unbiased estimation in quasi power series distributions". Hacettepe Journal of Mathematics and Statistics 47 (2018): 877-887
RIS TY - JOUR T1 - Basic sequences and unbiased estimation in quasi power series distributions AU - Faqir Muhammad , M. Kazim Khan Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 877 EP - 887 VL - 47 IS - 4 SN - 1303-5010- M3 - UR - Y2 - 2017 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics Basic sequences and unbiased estimation in quasi power series distributions %A Faqir Muhammad , M. Kazim Khan %T Basic sequences and unbiased estimation in quasi power series distributions %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 1303-5010- %V 47 %N 4 %R %U
ISNAD Muhammad, Faqir , Khan, M. Kazim . "Basic sequences and unbiased estimation in quasi power series distributions". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 877-887.