Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 1

Confidence regions for bivariate probability density functions using polygonal areas

Sayfa
276–306
Yayın Tarihi
2020-06-30
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this study, a polygonal approach is suggested to generalize the

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, a polygonal approach is suggested to generalize the
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Temel Bulgular & Veri:In this study, a polygonal approach is suggested to generalize the
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Sonuç & Katkı:In this study, a polygonal approach is suggested to generalize the
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:bivariate probability density functions · Bivariate confidence region · multimodal confidence region

Abstract

In this study, a polygonal approach is suggested to generalize the

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Bu Makaleye Atıf Yap

KESEMEN, O., ÖZKUL, E., ÜNSAL, Ü. (2020). Confidence regions for bivariate probability density functions using polygonal areas. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 69 - Sayı: 1, 276–306. https://ajindex.com/articles/746833

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Kaynakça (2)

  1. Neyman, J., Outline of a theory of statistical estimation based on the classical theory of probability, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 236(767), (1937), 333--380. Tate, R. F., and Klett, G. W., Optimal confidence intervals for the variance of a normal distribution, Journal of the American statistical Association 54(287), (1959), 674--682. Dunn, O., Multiple comparisons among means, Journal of the American Statistical Association 56(293), (1961), 52--64. Dunn, O., Multiple comparisons using rank sums, Technometrics 6(3), (1964), 241--252. Chew, V., Confidence, prediction, and tolerance regions for the multivariate normal distribution, Journal of the American Statistical Association 61(315), (1966), 605--617. Sidak, Z., Rectangular confidence regions for the means of multivariate normal distributions, Journal of the American Statistical Association 62(318), (1967), 626--633. Hu, Z., and Yang, R.-C., A new distribution-free approach to constructing the confidence region for multiple parameters, PloS one 8(12), (2013), e81179. Mammen, E., and Polonik, W., Confidence regions for level sets, Journal of Multivariate Analysis 122, (2013), 202--214. Martin, R., Random sets and exact confidence regions, Sankhya A 76(2), (2014), 288--304. Rambaud-Althaus, C., Althaus, F., Genton, B., and D'Acremont, V., Clinical features for diagnosis of pneumonia in children younger than 5 years: a systematic review and meta-analysis, The Lancet Infectious Diseases 15(4), (2015), 439--450. Harrar, S., and Xu, J., Confidence regions for level differences in growth curve models, Journal of Statistical Planning and Inference 175, (2016), 11--24. Öztürk, F., and Karabulut, İ.,Interval Estimators for the Parameters of the Normal Distribution, Commun.Fac.Sci.Univ.Ank.Series A1 55(1), (2006), 23--32. Ünsal, Ü., Determining Polygonal Confidence Zone with Artificial Bee Colony Algorithm and an Application in Mines, MSc Thesis, Karadeniz Technical University, Turkey, 2014.
  2. Kesemen O., Tiryaki, B. K., Özkul, E. and Tezel, Ö., Determination of the Confidence Intervals for Multimodal Probability Density Functions, Gazi University Journal of Science 31(1), (2018) 310--326. Kesemen O., Tiryaki, B. K. and Uluyurt, T., A Novel Approximation for Computation Bivariate Distribution Functions in Polygonal Area, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9(1), (2019) 88--98. Douglas, D., and Peucker, T., Algorithms for t